Given: The value of PI is 3.14159 and E has the value 2.71828. To find: Â That what will be the result of the function, sqrt(4.0). Solution: The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

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Answer 1

Expert Solution & Answer

Chapter 4, Problem 1CP

a.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(4.0).

Solution:

The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

b.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sin(2PI).

Solution:

The function, sin(2PI) , evaluates to 0. The sin function returns the final value of the sine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the sine of angle in radians.

c.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, cos(2PI).

Solution:

The function, cos(2PI), evaluates to 1. The cosine function returns the final value of the cosine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the cosine of angle in radians.

d.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 2).

Solution:

The function, pow(2.0, 2), will return the value 4. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax pow(base, exponent).

e.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log(E).

Solution:

The function, log(E), will evaluate to 1. It returns the natural logarithmic value of the argument which is passed as the parameter. The parameters can belong to any data type, like int, float, double or long-double.

f.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, exp(1.0).

Solution:

The function, exp(1.0), will return the value 2. It returns the exponential, e, which is raised to the argument that is given. It is a library function belonging to the header, cmath.

g.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, max(2, min(3, 4)).

Solution:

The function, max(2, min(3,4)), will return the value 3. The min function returns the minimum of the parameters passed to the function. Whereas, the max function returns the maximum of the parameters passed. In the given condition, first the inner bracket will evaluate, so the min(3,4) will be 3. Then, the outer bracket will evaluate, so the max(2,3) will be 3. Thereby, making the final result to be 3.

h.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(125.0).

Solution:

The function, sqrt(125.0), will evaluate to 11. The sqrt function is the function which helps in finding the square root of the parameter which is passed to the function. It is a library function belonging to the header, cmath.

i.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(-2.5).

Solution:

The function, ceil(-2.5), will return the value -2.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

j.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(-2.5).

Solution:

The function, floor(-2.5), will return the value -3.0. It will return the largest possible value which has to be either equal to or less than the passed argument. It is a library function belonging to the header, cmath.

k.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, asin(0.5).

Solution:

The function, asin(0.5), will return the value 0.52359. It returns the inverse of the sine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

l.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, acos(0.5).

Solution:

The function, acos(0.5), will return the value 1.04719. It returns the inverse of the cosine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

m.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, atan(1.0).

Solution:

The function, atan(1.0), will return the value 0.785398. It returns the inverse of the tangent of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

n.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(2.5).

Solution:

The function, ceil(2.5), will return the value 3.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

o.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(2.5).

Solution:

The function floor, (2.5), will return the value 2.0. It will return the largest possible value which has to be either lesser than or equal to the passed argument. It is a library function belonging to the header, cmath.

p.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log10(10.0).

Solution:

The function, log10(10.0), will return the value of 1. It returns the common base 10 logarithmic value of the argument which is passed inside. It is a library function belonging to the header, cmath.

q.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 3).

Solution:

The function, pow(2.0, 3), will return the value 8.0. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax, pow(base, exponent).

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(Dynamic Programming.) Recall the problem presented in Assign- ment 3 where given a list L of n ordered integers you're tasked with removing m of them such that the distance between the closest two remaining integers is maxi- mized. See Assignment 1 for further clarification and examples. As it turns out there is no (known) greedy algorithm to solve this problem. However, there is a dynamic programming solution. Devise a dynamic programming solution which determines the maximum distance between the closest two points after removing m numbers. Note, it doesn't need to return the resulting list itself. Hint 1: Your sub-problems should be of the form S(i, j), where S(i, j) returns the maximum distance of the closest two numbers when only considering removing j of the first i numbers in L. As an example if L [3, 4, 6, 8, 9, 12, 13, 15], then S(4, 1) = 2, since the closest two values of L' = [3,4,6,8] are 6 and 8 after removing 4 (note, 8-6 = = 2). = Hint 2: For the sub-problem S(i, j),…

(Dynamic Programming.) A group of friends is visiting a number of attractions located along a highway, starting at kilometre 0, placed at distances ɑ1 < A2 < ···

Answer 2

Expert Solution & Answer

Chapter 4, Problem 1CP

a.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(4.0).

Solution:

The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

b.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sin(2PI).

Solution:

The function, sin(2PI) , evaluates to 0. The sin function returns the final value of the sine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the sine of angle in radians.

c.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, cos(2PI).

Solution:

The function, cos(2PI), evaluates to 1. The cosine function returns the final value of the cosine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the cosine of angle in radians.

d.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 2).

Solution:

The function, pow(2.0, 2), will return the value 4. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax pow(base, exponent).

e.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log(E).

Solution:

The function, log(E), will evaluate to 1. It returns the natural logarithmic value of the argument which is passed as the parameter. The parameters can belong to any data type, like int, float, double or long-double.

f.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, exp(1.0).

Solution:

The function, exp(1.0), will return the value 2. It returns the exponential, e, which is raised to the argument that is given. It is a library function belonging to the header, cmath.

g.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, max(2, min(3, 4)).

Solution:

The function, max(2, min(3,4)), will return the value 3. The min function returns the minimum of the parameters passed to the function. Whereas, the max function returns the maximum of the parameters passed. In the given condition, first the inner bracket will evaluate, so the min(3,4) will be 3. Then, the outer bracket will evaluate, so the max(2,3) will be 3. Thereby, making the final result to be 3.

h.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(125.0).

Solution:

The function, sqrt(125.0), will evaluate to 11. The sqrt function is the function which helps in finding the square root of the parameter which is passed to the function. It is a library function belonging to the header, cmath.

i.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(-2.5).

Solution:

The function, ceil(-2.5), will return the value -2.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

j.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(-2.5).

Solution:

The function, floor(-2.5), will return the value -3.0. It will return the largest possible value which has to be either equal to or less than the passed argument. It is a library function belonging to the header, cmath.

k.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, asin(0.5).

Solution:

The function, asin(0.5), will return the value 0.52359. It returns the inverse of the sine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

l.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, acos(0.5).

Solution:

The function, acos(0.5), will return the value 1.04719. It returns the inverse of the cosine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

m.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, atan(1.0).

Solution:

The function, atan(1.0), will return the value 0.785398. It returns the inverse of the tangent of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

n.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(2.5).

Solution:

The function, ceil(2.5), will return the value 3.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

o.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(2.5).

Solution:

The function floor, (2.5), will return the value 2.0. It will return the largest possible value which has to be either lesser than or equal to the passed argument. It is a library function belonging to the header, cmath.

p.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log10(10.0).

Solution:

The function, log10(10.0), will return the value of 1. It returns the common base 10 logarithmic value of the argument which is passed inside. It is a library function belonging to the header, cmath.

q.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 3).

Solution:

The function, pow(2.0, 3), will return the value 8.0. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax, pow(base, exponent).

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Answer 3

Expert Solution & Answer

Chapter 4, Problem 1CP

a.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(4.0).

Solution:

The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

b.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sin(2PI).

Solution:

The function, sin(2PI) , evaluates to 0. The sin function returns the final value of the sine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the sine of angle in radians.

c.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, cos(2PI).

Solution:

The function, cos(2PI), evaluates to 1. The cosine function returns the final value of the cosine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the cosine of angle in radians.

d.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 2).

Solution:

The function, pow(2.0, 2), will return the value 4. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax pow(base, exponent).

e.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log(E).

Solution:

The function, log(E), will evaluate to 1. It returns the natural logarithmic value of the argument which is passed as the parameter. The parameters can belong to any data type, like int, float, double or long-double.

f.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, exp(1.0).

Solution:

The function, exp(1.0), will return the value 2. It returns the exponential, e, which is raised to the argument that is given. It is a library function belonging to the header, cmath.

g.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, max(2, min(3, 4)).

Solution:

The function, max(2, min(3,4)), will return the value 3. The min function returns the minimum of the parameters passed to the function. Whereas, the max function returns the maximum of the parameters passed. In the given condition, first the inner bracket will evaluate, so the min(3,4) will be 3. Then, the outer bracket will evaluate, so the max(2,3) will be 3. Thereby, making the final result to be 3.

h.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(125.0).

Solution:

The function, sqrt(125.0), will evaluate to 11. The sqrt function is the function which helps in finding the square root of the parameter which is passed to the function. It is a library function belonging to the header, cmath.

i.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(-2.5).

Solution:

The function, ceil(-2.5), will return the value -2.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

j.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(-2.5).

Solution:

The function, floor(-2.5), will return the value -3.0. It will return the largest possible value which has to be either equal to or less than the passed argument. It is a library function belonging to the header, cmath.

k.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, asin(0.5).

Solution:

The function, asin(0.5), will return the value 0.52359. It returns the inverse of the sine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

l.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, acos(0.5).

Solution:

The function, acos(0.5), will return the value 1.04719. It returns the inverse of the cosine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

m.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, atan(1.0).

Solution:

The function, atan(1.0), will return the value 0.785398. It returns the inverse of the tangent of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

n.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(2.5).

Solution:

The function, ceil(2.5), will return the value 3.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

o.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(2.5).

Solution:

The function floor, (2.5), will return the value 2.0. It will return the largest possible value which has to be either lesser than or equal to the passed argument. It is a library function belonging to the header, cmath.

p.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log10(10.0).

Solution:

The function, log10(10.0), will return the value of 1. It returns the common base 10 logarithmic value of the argument which is passed inside. It is a library function belonging to the header, cmath.

q.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 3).

Solution:

The function, pow(2.0, 3), will return the value 8.0. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax, pow(base, exponent).

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Answer 4

Expert Solution & Answer

Chapter 4, Problem 1CP

a.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(4.0).

Solution:

The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

b.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sin(2PI).

Solution:

The function, sin(2PI) , evaluates to 0. The sin function returns the final value of the sine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the sine of angle in radians.

c.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, cos(2PI).

Solution:

The function, cos(2PI), evaluates to 1. The cosine function returns the final value of the cosine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the cosine of angle in radians.

d.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 2).

Solution:

The function, pow(2.0, 2), will return the value 4. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax pow(base, exponent).

e.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log(E).

Solution:

The function, log(E), will evaluate to 1. It returns the natural logarithmic value of the argument which is passed as the parameter. The parameters can belong to any data type, like int, float, double or long-double.

f.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, exp(1.0).

Solution:

The function, exp(1.0), will return the value 2. It returns the exponential, e, which is raised to the argument that is given. It is a library function belonging to the header, cmath.

g.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, max(2, min(3, 4)).

Solution:

The function, max(2, min(3,4)), will return the value 3. The min function returns the minimum of the parameters passed to the function. Whereas, the max function returns the maximum of the parameters passed. In the given condition, first the inner bracket will evaluate, so the min(3,4) will be 3. Then, the outer bracket will evaluate, so the max(2,3) will be 3. Thereby, making the final result to be 3.

h.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(125.0).

Solution:

The function, sqrt(125.0), will evaluate to 11. The sqrt function is the function which helps in finding the square root of the parameter which is passed to the function. It is a library function belonging to the header, cmath.

i.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(-2.5).

Solution:

The function, ceil(-2.5), will return the value -2.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

j.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(-2.5).

Solution:

The function, floor(-2.5), will return the value -3.0. It will return the largest possible value which has to be either equal to or less than the passed argument. It is a library function belonging to the header, cmath.

k.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, asin(0.5).

Solution:

The function, asin(0.5), will return the value 0.52359. It returns the inverse of the sine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

l.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, acos(0.5).

Solution:

The function, acos(0.5), will return the value 1.04719. It returns the inverse of the cosine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

m.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, atan(1.0).

Solution:

The function, atan(1.0), will return the value 0.785398. It returns the inverse of the tangent of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

n.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(2.5).

Solution:

The function, ceil(2.5), will return the value 3.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

o.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(2.5).

Solution:

The function floor, (2.5), will return the value 2.0. It will return the largest possible value which has to be either lesser than or equal to the passed argument. It is a library function belonging to the header, cmath.

p.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log10(10.0).

Solution:

The function, log10(10.0), will return the value of 1. It returns the common base 10 logarithmic value of the argument which is passed inside. It is a library function belonging to the header, cmath.

q.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 3).

Solution:

The function, pow(2.0, 3), will return the value 8.0. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax, pow(base, exponent).

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Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 4, Problem 1CP

a.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(4.0).

Solution:

The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

b.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sin(2PI).

Solution:

The function, sin(2PI) , evaluates to 0. The sin function returns the final value of the sine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the sine of angle in radians.

c.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, cos(2PI).

Solution:

The function, cos(2PI), evaluates to 1. The cosine function returns the final value of the cosine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the cosine of angle in radians.

d.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 2).

Solution:

The function, pow(2.0, 2), will return the value 4. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax pow(base, exponent).

e.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log(E).

Solution:

The function, log(E), will evaluate to 1. It returns the natural logarithmic value of the argument which is passed as the parameter. The parameters can belong to any data type, like int, float, double or long-double.

f.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, exp(1.0).

Solution:

The function, exp(1.0), will return the value 2. It returns the exponential, e, which is raised to the argument that is given. It is a library function belonging to the header, cmath.

g.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, max(2, min(3, 4)).

Solution:

The function, max(2, min(3,4)), will return the value 3. The min function returns the minimum of the parameters passed to the function. Whereas, the max function returns the maximum of the parameters passed. In the given condition, first the inner bracket will evaluate, so the min(3,4) will be 3. Then, the outer bracket will evaluate, so the max(2,3) will be 3. Thereby, making the final result to be 3.

h.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(125.0).

Solution:

The function, sqrt(125.0), will evaluate to 11. The sqrt function is the function which helps in finding the square root of the parameter which is passed to the function. It is a library function belonging to the header, cmath.

i.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(-2.5).

Solution:

The function, ceil(-2.5), will return the value -2.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

j.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(-2.5).

Solution:

The function, floor(-2.5), will return the value -3.0. It will return the largest possible value which has to be either equal to or less than the passed argument. It is a library function belonging to the header, cmath.

k.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, asin(0.5).

Solution:

The function, asin(0.5), will return the value 0.52359. It returns the inverse of the sine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

l.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, acos(0.5).

Solution:

The function, acos(0.5), will return the value 1.04719. It returns the inverse of the cosine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

m.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, atan(1.0).

Solution:

The function, atan(1.0), will return the value 0.785398. It returns the inverse of the tangent of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

n.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(2.5).

Solution:

The function, ceil(2.5), will return the value 3.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

o.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(2.5).

Solution:

The function floor, (2.5), will return the value 2.0. It will return the largest possible value which has to be either lesser than or equal to the passed argument. It is a library function belonging to the header, cmath.

p.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log10(10.0).

Solution:

The function, log10(10.0), will return the value of 1. It returns the common base 10 logarithmic value of the argument which is passed inside. It is a library function belonging to the header, cmath.

q.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 3).

Solution:

The function, pow(2.0, 3), will return the value 8.0. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax, pow(base, exponent).

Answer 8

Chapter 4, Problem 1CP

a.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(4.0).

Solution:

The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

Answer 9

Chapter 4, Problem 1CP

a.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(4.0).

Solution:

The function, sqrt(4.0), will evaluate to 2. The sqrt function will perform the square root of the number which is passed in the function parameter. It is a library function belonging to the header, cmath.

Answer 10

b.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sin(2PI).

Solution:

The function, sin(2PI) , evaluates to 0. The sin function returns the final value of the sine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the sine of angle in radians.

Answer 11

b.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sin(2PI).

Solution:

The function, sin(2PI) , evaluates to 0. The sin function returns the final value of the sine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the sine of angle in radians.

Answer 12

c.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, cos(2PI).

Solution:

The function, cos(2PI), evaluates to 1. The cosine function returns the final value of the cosine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the cosine of angle in radians.

Answer 13

c.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, cos(2PI).

Solution:

The function, cos(2PI), evaluates to 1. The cosine function returns the final value of the cosine of the angle which is passed in the parameter. It is a library function belonging to the header, cmath. It returns the cosine of angle in radians.

Answer 14

d.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 2).

Solution:

The function, pow(2.0, 2), will return the value 4. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax pow(base, exponent).

Answer 15

d.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 2).

Solution:

The function, pow(2.0, 2), will return the value 4. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax pow(base, exponent).

Answer 16

e.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log(E).

Solution:

The function, log(E), will evaluate to 1. It returns the natural logarithmic value of the argument which is passed as the parameter. The parameters can belong to any data type, like int, float, double or long-double.

Answer 17

e.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log(E).

Solution:

The function, log(E), will evaluate to 1. It returns the natural logarithmic value of the argument which is passed as the parameter. The parameters can belong to any data type, like int, float, double or long-double.

Answer 18

f.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, exp(1.0).

Solution:

The function, exp(1.0), will return the value 2. It returns the exponential, e, which is raised to the argument that is given. It is a library function belonging to the header, cmath.

Answer 19

f.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, exp(1.0).

Solution:

The function, exp(1.0), will return the value 2. It returns the exponential, e, which is raised to the argument that is given. It is a library function belonging to the header, cmath.

Answer 20

g.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, max(2, min(3, 4)).

Solution:

The function, max(2, min(3,4)), will return the value 3. The min function returns the minimum of the parameters passed to the function. Whereas, the max function returns the maximum of the parameters passed. In the given condition, first the inner bracket will evaluate, so the min(3,4) will be 3. Then, the outer bracket will evaluate, so the max(2,3) will be 3. Thereby, making the final result to be 3.

Answer 21

g.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, max(2, min(3, 4)).

Solution:

The function, max(2, min(3,4)), will return the value 3. The min function returns the minimum of the parameters passed to the function. Whereas, the max function returns the maximum of the parameters passed. In the given condition, first the inner bracket will evaluate, so the min(3,4) will be 3. Then, the outer bracket will evaluate, so the max(2,3) will be 3. Thereby, making the final result to be 3.

Answer 22

h.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(125.0).

Solution:

The function, sqrt(125.0), will evaluate to 11. The sqrt function is the function which helps in finding the square root of the parameter which is passed to the function. It is a library function belonging to the header, cmath.

Answer 23

h.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, sqrt(125.0).

Solution:

The function, sqrt(125.0), will evaluate to 11. The sqrt function is the function which helps in finding the square root of the parameter which is passed to the function. It is a library function belonging to the header, cmath.

Answer 24

i.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(-2.5).

Solution:

The function, ceil(-2.5), will return the value -2.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

Answer 25

i.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(-2.5).

Solution:

The function, ceil(-2.5), will return the value -2.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

Answer 26

j.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(-2.5).

Solution:

The function, floor(-2.5), will return the value -3.0. It will return the largest possible value which has to be either equal to or less than the passed argument. It is a library function belonging to the header, cmath.

Answer 27

j.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(-2.5).

Solution:

The function, floor(-2.5), will return the value -3.0. It will return the largest possible value which has to be either equal to or less than the passed argument. It is a library function belonging to the header, cmath.

Answer 28

k.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, asin(0.5).

Solution:

The function, asin(0.5), will return the value 0.52359. It returns the inverse of the sine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

Answer 29

k.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, asin(0.5).

Solution:

The function, asin(0.5), will return the value 0.52359. It returns the inverse of the sine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

Answer 30

l.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, acos(0.5).

Solution:

The function, acos(0.5), will return the value 1.04719. It returns the inverse of the cosine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

Answer 31

l.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, acos(0.5).

Solution:

The function, acos(0.5), will return the value 1.04719. It returns the inverse of the cosine of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

Answer 32

m.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, atan(1.0).

Solution:

The function, atan(1.0), will return the value 0.785398. It returns the inverse of the tangent of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

Answer 33

m.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, atan(1.0).

Solution:

The function, atan(1.0), will return the value 0.785398. It returns the inverse of the tangent of the angle which is passed as the parameter. It returns the value of the angle in radians. It is a library function belonging to the header, cmath.

Answer 34

n.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(2.5).

Solution:

The function, ceil(2.5), will return the value 3.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

Answer 35

n.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, ceil(2.5).

Solution:

The function, ceil(2.5), will return the value 3.0. It returns the smallest possible value which has to be either greater than or equal to the passed argument. It is a library function belonging to the header, cmath.

Answer 36

o.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(2.5).

Solution:

The function floor, (2.5), will return the value 2.0. It will return the largest possible value which has to be either lesser than or equal to the passed argument. It is a library function belonging to the header, cmath.

Answer 37

o.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, floor(2.5).

Solution:

The function floor, (2.5), will return the value 2.0. It will return the largest possible value which has to be either lesser than or equal to the passed argument. It is a library function belonging to the header, cmath.

Answer 38

p.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log10(10.0).

Solution:

The function, log10(10.0), will return the value of 1. It returns the common base 10 logarithmic value of the argument which is passed inside. It is a library function belonging to the header, cmath.

Answer 39

p.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, log10(10.0).

Solution:

The function, log10(10.0), will return the value of 1. It returns the common base 10 logarithmic value of the argument which is passed inside. It is a library function belonging to the header, cmath.

Answer 40

q.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 3).

Solution:

The function, pow(2.0, 3), will return the value 8.0. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax, pow(base, exponent).

Answer 41

q.

Explanation of Solution

Given: The value of PI is 3.14159 and E has the value 2.71828.

To find:Â That what will be the result of the function, pow(2.0, 3).

Solution:

The function, pow(2.0, 3), will return the value 8.0. It computes the base number which is raised to the power of the exponent number. It is a library function belonging to the header, cmath. It follows the syntax, pow(base, exponent).

Answer 42

Ch. 4 - Prob. 1CP Ch. 4 - Prob. 2CP Ch. 4 - Write a statement that converts 47 degrees to...Ch. 4 - Write a statement that converts /7 to an angle in...Ch. 4 - Use console print statements to determine the...Ch. 4 - Prob. 6CP Ch. 4 - How do you display the characters \ and "?Ch. 4 - Show the printout of the following code:...Ch. 4 - Prob. 9CP Ch. 4 - Prob. 10CP

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Chapter 4 Solutions