(a) A user-defined MATLAB function for the given math function y ( x ) = 0.6 x 3 e − 0.47 x + 1.5 x 2 e − 0.6 x ; the value of y ( − 2 ) and y ( 4 ) using this function. (Write the function such that x can be a vector .)

Question

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Answer 1

Question

Chapter 7, Problem 1P

To determine

(a)

A user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x; the value of y(−2) and y(4) using this function. (Write the function such that x can be a vector.)

Expert Solution

Answer to Problem 1P

Solution:

The value of y(−2) is 16.8487 and y(4) is 2.5434.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Solve the above equation for y(−2).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(−2)=0.6(−2)3e−0.47( −2)+1.5(−2)2e−0.6( −2)=16.8487

Solve the above equation for y(4).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(4)=0.6(4)3e−0.47(4)+1.5(4)2e−0.6(4)=2.5434

Write the MATLAB code to determine the user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x and calculate the value of y(−2) and y(4) using this function.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = [-2 4];

y = Chapter7_56830_7_1P(x);

disp('The test values for y(x) are:')

disp(y)

Save the MATLAB script with name, Chapter7_56830_7_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces in which the position of ball is given as a function of time and the velocities is given in the x and y direction.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 1

Conclusion:

Therefore, the value of y(−2) is 16.8487 and y(4) is 2.5434.

To determine

(b)

To make:

A plot of the given function y(x) for −4≤x≤8.

Expert Solution

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Write the MATLAB code to make a plot of the given function y(x) for −4≤x≤8.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = -4:.1:8;

plot(x,Chapter7_56830_7_1P(x));

title('y(x) = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x))')

xlabel('x-->')

ylabel('y-->')

Save the MATLAB script with name, Chapter7_56830_7_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a plot of the given function y(x) for −4≤x≤8.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 2

Conclusion:

Therefore, the required program is stated above.

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Answer 2

Question

Chapter 7, Problem 1P

To determine

(a)

A user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x; the value of y(−2) and y(4) using this function. (Write the function such that x can be a vector.)

Expert Solution

Answer to Problem 1P

Solution:

The value of y(−2) is 16.8487 and y(4) is 2.5434.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Solve the above equation for y(−2).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(−2)=0.6(−2)3e−0.47( −2)+1.5(−2)2e−0.6( −2)=16.8487

Solve the above equation for y(4).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(4)=0.6(4)3e−0.47(4)+1.5(4)2e−0.6(4)=2.5434

Write the MATLAB code to determine the user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x and calculate the value of y(−2) and y(4) using this function.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = [-2 4];

y = Chapter7_56830_7_1P(x);

disp('The test values for y(x) are:')

disp(y)

Save the MATLAB script with name, Chapter7_56830_7_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces in which the position of ball is given as a function of time and the velocities is given in the x and y direction.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 1

Conclusion:

Therefore, the value of y(−2) is 16.8487 and y(4) is 2.5434.

To determine

(b)

To make:

A plot of the given function y(x) for −4≤x≤8.

Expert Solution

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Write the MATLAB code to make a plot of the given function y(x) for −4≤x≤8.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = -4:.1:8;

plot(x,Chapter7_56830_7_1P(x));

title('y(x) = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x))')

xlabel('x-->')

ylabel('y-->')

Save the MATLAB script with name, Chapter7_56830_7_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a plot of the given function y(x) for −4≤x≤8.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 2

Conclusion:

Therefore, the required program is stated above.

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Answer 3

Question

Chapter 7, Problem 1P

To determine

(a)

A user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x; the value of y(−2) and y(4) using this function. (Write the function such that x can be a vector.)

Expert Solution

Answer to Problem 1P

Solution:

The value of y(−2) is 16.8487 and y(4) is 2.5434.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Solve the above equation for y(−2).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(−2)=0.6(−2)3e−0.47( −2)+1.5(−2)2e−0.6( −2)=16.8487

Solve the above equation for y(4).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(4)=0.6(4)3e−0.47(4)+1.5(4)2e−0.6(4)=2.5434

Write the MATLAB code to determine the user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x and calculate the value of y(−2) and y(4) using this function.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = [-2 4];

y = Chapter7_56830_7_1P(x);

disp('The test values for y(x) are:')

disp(y)

Save the MATLAB script with name, Chapter7_56830_7_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces in which the position of ball is given as a function of time and the velocities is given in the x and y direction.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 1

Conclusion:

Therefore, the value of y(−2) is 16.8487 and y(4) is 2.5434.

To determine

(b)

To make:

A plot of the given function y(x) for −4≤x≤8.

Expert Solution

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Write the MATLAB code to make a plot of the given function y(x) for −4≤x≤8.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = -4:.1:8;

plot(x,Chapter7_56830_7_1P(x));

title('y(x) = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x))')

xlabel('x-->')

ylabel('y-->')

Save the MATLAB script with name, Chapter7_56830_7_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a plot of the given function y(x) for −4≤x≤8.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 2

Conclusion:

Therefore, the required program is stated above.

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Answer 4

Question

Chapter 7, Problem 1P

To determine

(a)

A user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x; the value of y(−2) and y(4) using this function. (Write the function such that x can be a vector.)

Expert Solution

Answer to Problem 1P

Solution:

The value of y(−2) is 16.8487 and y(4) is 2.5434.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Solve the above equation for y(−2).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(−2)=0.6(−2)3e−0.47( −2)+1.5(−2)2e−0.6( −2)=16.8487

Solve the above equation for y(4).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(4)=0.6(4)3e−0.47(4)+1.5(4)2e−0.6(4)=2.5434

Write the MATLAB code to determine the user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x and calculate the value of y(−2) and y(4) using this function.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = [-2 4];

y = Chapter7_56830_7_1P(x);

disp('The test values for y(x) are:')

disp(y)

Save the MATLAB script with name, Chapter7_56830_7_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces in which the position of ball is given as a function of time and the velocities is given in the x and y direction.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 1

Conclusion:

Therefore, the value of y(−2) is 16.8487 and y(4) is 2.5434.

To determine

(b)

To make:

A plot of the given function y(x) for −4≤x≤8.

Expert Solution

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Write the MATLAB code to make a plot of the given function y(x) for −4≤x≤8.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = -4:.1:8;

plot(x,Chapter7_56830_7_1P(x));

title('y(x) = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x))')

xlabel('x-->')

ylabel('y-->')

Save the MATLAB script with name, Chapter7_56830_7_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a plot of the given function y(x) for −4≤x≤8.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 2

Conclusion:

Therefore, the required program is stated above.

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Answer 5

Chapter 7, Problem 1P

To determine

(a)

A user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x; the value of y(−2) and y(4) using this function. (Write the function such that x can be a vector.)

Expert Solution

Answer to Problem 1P

Solution:

The value of y(−2) is 16.8487 and y(4) is 2.5434.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Solve the above equation for y(−2).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(−2)=0.6(−2)3e−0.47( −2)+1.5(−2)2e−0.6( −2)=16.8487

Solve the above equation for y(4).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(4)=0.6(4)3e−0.47(4)+1.5(4)2e−0.6(4)=2.5434

Write the MATLAB code to determine the user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x and calculate the value of y(−2) and y(4) using this function.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = [-2 4];

y = Chapter7_56830_7_1P(x);

disp('The test values for y(x) are:')

disp(y)

Save the MATLAB script with name, Chapter7_56830_7_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces in which the position of ball is given as a function of time and the velocities is given in the x and y direction.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 1

Conclusion:

Therefore, the value of y(−2) is 16.8487 and y(4) is 2.5434.

To determine

(b)

To make:

A plot of the given function y(x) for −4≤x≤8.

Expert Solution

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Write the MATLAB code to make a plot of the given function y(x) for −4≤x≤8.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = -4:.1:8;

plot(x,Chapter7_56830_7_1P(x));

title('y(x) = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x))')

xlabel('x-->')

ylabel('y-->')

Save the MATLAB script with name, Chapter7_56830_7_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a plot of the given function y(x) for −4≤x≤8.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 2

Conclusion:

Therefore, the required program is stated above.

Answer 6

Chapter 7, Problem 1P

To determine

(a)

A user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x; the value of y(−2) and y(4) using this function. (Write the function such that x can be a vector.)

Expert Solution

Answer to Problem 1P

Solution:

The value of y(−2) is 16.8487 and y(4) is 2.5434.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Solve the above equation for y(−2).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(−2)=0.6(−2)3e−0.47( −2)+1.5(−2)2e−0.6( −2)=16.8487

Solve the above equation for y(4).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(4)=0.6(4)3e−0.47(4)+1.5(4)2e−0.6(4)=2.5434

Write the MATLAB code to determine the user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x and calculate the value of y(−2) and y(4) using this function.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = [-2 4];

y = Chapter7_56830_7_1P(x);

disp('The test values for y(x) are:')

disp(y)

Save the MATLAB script with name, Chapter7_56830_7_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces in which the position of ball is given as a function of time and the velocities is given in the x and y direction.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 1

Conclusion:

Therefore, the value of y(−2) is 16.8487 and y(4) is 2.5434.

Answer 7

Chapter 7, Problem 1P

To determine

(a)

A user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x; the value of y(−2) and y(4) using this function. (Write the function such that x can be a vector.)

Answer 8

Expert Solution

Answer to Problem 1P

Solution:

The value of y(−2) is 16.8487 and y(4) is 2.5434.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Solve the above equation for y(−2).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(−2)=0.6(−2)3e−0.47( −2)+1.5(−2)2e−0.6( −2)=16.8487

Solve the above equation for y(4).

y(x)=0.6x3e−0.47x+1.5x2e−0.6xy(4)=0.6(4)3e−0.47(4)+1.5(4)2e−0.6(4)=2.5434

Write the MATLAB code to determine the user-defined MATLAB function for the given math function y(x)=0.6x3e−0.47x+1.5x2e−0.6x and calculate the value of y(−2) and y(4) using this function.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = [-2 4];

y = Chapter7_56830_7_1P(x);

disp('The test values for y(x) are:')

disp(y)

Save the MATLAB script with name, Chapter7_56830_7_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a 3-D plot (shown in the figure) that shows the trajectory of the ball during the first five bounces in which the position of ball is given as a function of time and the velocities is given in the x and y direction.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 1

Conclusion:

Therefore, the value of y(−2) is 16.8487 and y(4) is 2.5434.

Answer 13

To determine

(b)

To make:

A plot of the given function y(x) for −4≤x≤8.

Expert Solution

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Write the MATLAB code to make a plot of the given function y(x) for −4≤x≤8.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = -4:.1:8;

plot(x,Chapter7_56830_7_1P(x));

title('y(x) = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x))')

xlabel('x-->')

ylabel('y-->')

Save the MATLAB script with name, Chapter7_56830_7_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a plot of the given function y(x) for −4≤x≤8.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 2

Conclusion:

Therefore, the required program is stated above.

Answer 14

To determine

(b)

To make:

A plot of the given function y(x) for −4≤x≤8.

Answer 15

Expert Solution

Answer to Problem 1P

Solution:

The program is stated as follows.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The given function is,

y(x)=0.6x3e−0.47x+1.5x2e−0.6x

Write the MATLAB code to make a plot of the given function y(x) for −4≤x≤8.

MATLAB Code:

Function file

function y = Chapter7_56830_7_1P(x)

y = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x));

Script file

x = -4:.1:8;

plot(x,Chapter7_56830_7_1P(x));

title('y(x) = (0.6.*x.*exp(-0.47.*x))+(1.5.*x.^2.*exp(-0.6.*x))')

xlabel('x-->')

ylabel('y-->')

Save the MATLAB script with name, Chapter7_56830_7_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to make a plot of the given function y(x) for −4≤x≤8.

Result:

MATLAB: An Introduction with Applications, Chapter 7, Problem 1P , additional homework tip 2

Conclusion:

Therefore, the required program is stated above.