Chapter 10, Problem 10.1P

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Answer 1

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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m Proctor ments sources Dak is investigating how long their phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). A part of the regression analysis done on Ti Calculator and in Excel for their data are displayed below. Ti Calculator Click this button to reveal the Ti Calculator Output. Click again to collapse it. Ti Calculator y = ax+b B0 and p 0 t = -3.02431335 p = 0.0233 df - 6 a =-0.0380555845 b=5.88809202 s = 0.436054238 20.603868129 r = -0.777089524 Resources Excel Type here to search Click this button to reveal the Excel Output. Click again to collapse it. SUMMARY OUTPUT Multiple R 0.777089524 R Square 0.603868129 Adjusted R Square 0.537846150 Standard Error 0.436054238 Observations 8 ANOVA df SS MS F Significance F Regression 1 1.73914021 Residual 6 1.14085979 1.73914021 0.190143298 9.1465 0.0233 Total 7 2.88000000 Coefficients Standard Error Intercept Brightness 5.88809202 -0.0380555845 t Stat 7.62593816 -3.02431335 P-value 0.0003 0.0233 Use…

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Answer 2

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Answer 3

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Answer 4

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 6

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer 10

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Answer 11

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 12

Chapter 10, Problem 10.1P Chapter 10, Problem 10.2P Chapter 10, Problem 10.3P Chapter 10, Problem 10.4P Chapter 10, Problem 1E Chapter 10, Problem 2E Chapter 10, Problem 3E Chapter 10, Problem 4E Chapter 10, Problem 6E Chapter 10, Problem 7E

Chapter 10, Problem 10.1P

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