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High School Math Calculus PRECALCULUS:GRAPHICAL,...-NASTA ED.

a. To calculate: The value of A x by using the calculator NINT method. The value explained in explanation. Given Information: The function is f t = 3 t 2 . Calculation: Consider the given function, f t = 3 t 2 On a TI-83 Plus calculator, press MATH then select fnInt . Enter the function, the variable, the lower limit, and the upper limit of the integral. In this case, the function we input is 2 X , the variable is X , the lower limit is 0 with different values of upper limit as given: And, And, And, And, And, And, Therefore, all the obtained are mentioned in the window each value of x . b. To graph: The table of pairs x , A x for the values of x and plot the graph paper. Tables and graph shown in figure. Given Information: The function is f t = 3 t 2 . Explanation: Consider the given information, f t = 3 t 2 Using the results from part (a), we construct the table as shown on the left. Plot the ordered pairs and draw a smooth curve through them as shown on the right: And, Therefore, the obtained table and graph shown above. c. To determine: The best fit to model the data in part (b) ad overlay its graph on a scatter plot of the data. The cubic model is A x = x 3 . Given Information: The function is f t = 3 t 2 . Explanation: Consider the given information, f t = 3 t 2 Using a graphing calculator, enter the x -values in L1 and the areas in L2. Then use the c u b i c R e g feature and graph it together with the scatter plot of the data. The quadratic regression equation is defined as: And, Therefore, the required best model is A x = x 3 . d. To determine: The conjecture about the exact value of A x for any x greater than zero. The function is A x = x 3 . Given Information: The function is f t = 3 t 2 . Explanation: Consider the given information, f t = 3 t 2 Using the result from part (c), the exact value of A x for any x greater than zero is the square of x . A x = x 3 Therefore, the required function is A x = x 3 . e. To determine: The derivative of the function A x = x 3 . The derivative is A ' x = 3 x 2 . Given Information: The function is A x = x 3 . Explanation: Consider the given information, A x = x 3 Find the derivative above function with respect to x . d d x A x = d d x x 3 A ′ x = 3 x 2 Therefore, the derivative is A ' x = 3 x 2 .

a. To calculate: The value of A x by using the calculator NINT method. The value explained in explanation. Given Information: The function is f t = 3 t 2 . Calculation: Consider the given function, f t = 3 t 2 On a TI-83 Plus calculator, press MATH then select fnInt . Enter the function, the variable, the lower limit, and the upper limit of the integral. In this case, the function we input is 2 X , the variable is X , the lower limit is 0 with different values of upper limit as given: And, And, And, And, And, And, Therefore, all the obtained are mentioned in the window each value of x . b. To graph: The table of pairs x , A x for the values of x and plot the graph paper. Tables and graph shown in figure. Given Information: The function is f t = 3 t 2 . Explanation: Consider the given information, f t = 3 t 2 Using the results from part (a), we construct the table as shown on the left. Plot the ordered pairs and draw a smooth curve through them as shown on the right: And, Therefore, the obtained table and graph shown above. c. To determine: The best fit to model the data in part (b) ad overlay its graph on a scatter plot of the data. The cubic model is A x = x 3 . Given Information: The function is f t = 3 t 2 . Explanation: Consider the given information, f t = 3 t 2 Using a graphing calculator, enter the x -values in L1 and the areas in L2. Then use the c u b i c R e g feature and graph it together with the scatter plot of the data. The quadratic regression equation is defined as: And, Therefore, the required best model is A x = x 3 . d. To determine: The conjecture about the exact value of A x for any x greater than zero. The function is A x = x 3 . Given Information: The function is f t = 3 t 2 . Explanation: Consider the given information, f t = 3 t 2 Using the result from part (c), the exact value of A x for any x greater than zero is the square of x . A x = x 3 Therefore, the required function is A x = x 3 . e. To determine: The derivative of the function A x = x 3 . The derivative is A ' x = 3 x 2 . Given Information: The function is A x = x 3 . Explanation: Consider the given information, A x = x 3 Find the derivative above function with respect to x . d d x A x = d d x x 3 A ′ x = 3 x 2 Therefore, the derivative is A ' x = 3 x 2 .

PRECALCULUS:GRAPHICAL,...-NASTA ED.

PRECALCULUS:GRAPHICAL,...-NASTA ED.

10th Edition

ISBN: 9780134672090

Author: Demana

Publisher: PEARSON

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Expert Solution & Answer

Chapter 11.4, Problem 57E

Solution

a.

To calculate: The value of $Ax$ by using the calculator NINT method.

The value explained in explanation.

Given Information:

The function is $ft=3t2$ .

Calculation:

Consider the given function,

$ft=3t2$

On a TI-83 Plus calculator, press MATH then select fnInt. Enter the function, the variable, the lower limit, and the upper limit of the integral. In this case, the function we input is $2X$ , the variable is $X$ , the lower limit is 0 with different values of upper limit as given:

And,

And,

And,

And,

And,

And,

Therefore, all the obtained are mentioned in the window each value of x .

b.

To graph: The table of pairs $x,Ax$ for the values of x and plot the graph paper.

Tables and graph shown in figure.

Given Information:

The function is $ft=3t2$ .

Explanation:

Consider the given information,

$ft=3t2$

Using the results from part (a), we construct the table as shown on the left. Plot the ordered pairs and draw a smooth curve through them as shown on the right:

And,

Therefore, the obtained table and graph shown above.

c.

To determine: The best fit to model the data in part (b) ad overlay its graph on a scatter plot of the data.

The cubic model is $Ax=x3$ .

Given Information:

The function is $ft=3t2$ .

Explanation:

Consider the given information,

$ft=3t2$

Using a graphing calculator, enter the x -values in L1 and the areas in L2. Then use the $cubicReg$

feature and graph it together with the scatter plot of the data. The quadratic regression equation is defined as:

And,

Therefore, the required best model is $Ax=x3$ .

d.

To determine: The conjecture about the exact value of $Ax$ for any x greater than zero.

The function is $Ax=x3$ .

Given Information:

The function is $ft=3t2$ .

Explanation:

Consider the given information,

$ft=3t2$

Using the result from part (c), the exact value of $Ax$ for any $x$ greater than zero is the square of $x$ .

$Ax=x3$

Therefore, the required function is $Ax=x3$ .

e.

To determine: The derivative of the function $Ax=x3$ .

The derivative is $A'x=3x2$ .

Given Information:

The function is $Ax=x3$ .

Explanation:

Consider the given information,

$Ax=x3$

Find the derivative above function with respect to x .

$ddxAx=ddxx3A′x=3x2$

Therefore, the derivative is $A'x=3x2$ .

Chapter 11.4, Problem 56E

Chapter 11, Problem 1RE

Chapter 11 Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. 11.1 - Prob. 1QR Ch. 11.1 - Prob. 2QR Ch. 11.1 - Prob. 3QR Ch. 11.1 - Prob. 4QR Ch. 11.1 - Prob. 5QR Ch. 11.1 - Prob. 6QR Ch. 11.1 - Prob. 7QR Ch. 11.1 - Prob. 8QR Ch. 11.1 - Prob. 9QR Ch. 11.1 - Prob. 10QR

Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E Ch. 11.1 - Prob. 11E Ch. 11.1 - Prob. 12E Ch. 11.1 - Prob. 13E Ch. 11.1 - Prob. 14E Ch. 11.1 - Prob. 15E Ch. 11.1 - Prob. 16E Ch. 11.1 - Prob. 17E Ch. 11.1 - Prob. 18E Ch. 11.1 - Prob. 19E Ch. 11.1 - Prob. 20E Ch. 11.1 - Prob. 21E Ch. 11.1 - Prob. 22E Ch. 11.1 - Prob. 23E Ch. 11.1 - Prob. 24E Ch. 11.1 - Prob. 25E Ch. 11.1 - Prob. 26E Ch. 11.1 - Prob. 27E Ch. 11.1 - Prob. 28E Ch. 11.1 - Prob. 29E Ch. 11.1 - Prob. 30E Ch. 11.1 - Prob. 31E Ch. 11.1 - Prob. 32E Ch. 11.1 - Prob. 33E Ch. 11.1 - Prob. 34E Ch. 11.1 - Prob. 35E Ch. 11.1 - Prob. 36E Ch. 11.1 - Prob. 37E Ch. 11.1 - Prob. 38E Ch. 11.1 - Prob. 39E Ch. 11.1 - Prob. 40E Ch. 11.1 - Prob. 41E Ch. 11.1 - Prob. 42E Ch. 11.1 - Prob. 43E Ch. 11.1 - Prob. 44E Ch. 11.1 - Prob. 45E Ch. 11.1 - Prob. 46E Ch. 11.1 - Prob. 47E Ch. 11.1 - Prob. 48E Ch. 11.1 - Prob. 49E Ch. 11.1 - Prob. 50E Ch. 11.1 - Prob. 51E Ch. 11.1 - Prob. 52E Ch. 11.1 - Prob. 53E Ch. 11.1 - Prob. 54E Ch. 11.1 - Prob. 55E Ch. 11.1 - Prob. 56E Ch. 11.1 - Prob. 57E Ch. 11.2 - Prob. 1QR Ch. 11.2 - Prob. 2QR Ch. 11.2 - Prob. 3QR Ch. 11.2 - Prob. 4QR Ch. 11.2 - Prob. 5QR Ch. 11.2 - Prob. 6QR Ch. 11.2 - Prob. 7QR Ch. 11.2 - Prob. 8QR Ch. 11.2 - Prob. 9QR Ch. 11.2 - Prob. 10QR Ch. 11.2 - Prob. 1E Ch. 11.2 - Prob. 2E Ch. 11.2 - Prob. 3E Ch. 11.2 - Prob. 4E Ch. 11.2 - Prob. 5E Ch. 11.2 - Prob. 6E Ch. 11.2 - Prob. 7E Ch. 11.2 - Prob. 8E Ch. 11.2 - Prob. 9E Ch. 11.2 - Prob. 10E Ch. 11.2 - Prob. 11E Ch. 11.2 - Prob. 12E Ch. 11.2 - Prob. 13E Ch. 11.2 - Prob. 14E Ch. 11.2 - Prob. 15E Ch. 11.2 - Prob. 16E Ch. 11.2 - Prob. 17E Ch. 11.2 - Prob. 18E Ch. 11.2 - Prob. 19E Ch. 11.2 - Prob. 20E Ch. 11.2 - Prob. 21E Ch. 11.2 - Prob. 22E Ch. 11.2 - Prob. 23E Ch. 11.2 - Prob. 24E Ch. 11.2 - Prob. 25E Ch. 11.2 - Prob. 26E Ch. 11.2 - Prob. 27E Ch. 11.2 - Prob. 28E Ch. 11.2 - Prob. 29E Ch. 11.2 - Prob. 30E Ch. 11.2 - Prob. 31E Ch. 11.2 - Prob. 32E Ch. 11.2 - Prob. 33E Ch. 11.2 - Prob. 34E Ch. 11.2 - Prob. 35E Ch. 11.2 - Prob. 36E Ch. 11.2 - Prob. 37E Ch. 11.2 - Prob. 38E Ch. 11.2 - Prob. 39E Ch. 11.2 - Prob. 40E Ch. 11.2 - Prob. 41E Ch. 11.2 - Prob. 42E Ch. 11.2 - Prob. 43E Ch. 11.2 - Prob. 44E Ch. 11.2 - Prob. 45E Ch. 11.2 - Prob. 46E Ch. 11.2 - Prob. 47E Ch. 11.2 - Prob. 48E Ch. 11.2 - Prob. 49E Ch. 11.2 - Prob. 50E Ch. 11.2 - Prob. 51E Ch. 11.2 - Prob. 52E Ch. 11.2 - Prob. 53E Ch. 11.2 - Prob. 54E Ch. 11.2 - Prob. 55E Ch. 11.2 - Prob. 56E Ch. 11.2 - Prob. 58E Ch. 11.2 - Prob. 59E Ch. 11.2 - Prob. 60E Ch. 11.2 - Prob. 61E Ch. 11.2 - Prob. 62E Ch. 11.2 - Prob. 63E Ch. 11.2 - Prob. 64E Ch. 11.3 - Prob. 1QR Ch. 11.3 - Prob. 2QR Ch. 11.3 - Prob. 3QR Ch. 11.3 - Prob. 4QR Ch. 11.3 - Prob. 5QR Ch. 11.3 - Prob. 6QR Ch. 11.3 - Prob. 7QR Ch. 11.3 - Prob. 8QR Ch. 11.3 - Prob. 9QR Ch. 11.3 - Prob. 10QR Ch. 11.3 - Prob. 1E Ch. 11.3 - Prob. 2E Ch. 11.3 - Prob. 3E Ch. 11.3 - Prob. 4E Ch. 11.3 - Prob. 5E Ch. 11.3 - Prob. 6E Ch. 11.3 - Prob. 7E Ch. 11.3 - Prob. 8E Ch. 11.3 - Prob. 9E Ch. 11.3 - Prob. 10E Ch. 11.3 - Prob. 11E Ch. 11.3 - Prob. 12E Ch. 11.3 - Prob. 13E Ch. 11.3 - Prob. 14E Ch. 11.3 - Prob. 15E Ch. 11.3 - Prob. 16E Ch. 11.3 - Prob. 17E Ch. 11.3 - Prob. 18E Ch. 11.3 - Prob. 19E Ch. 11.3 - Prob. 20E Ch. 11.3 - Prob. 21E Ch. 11.3 - Prob. 22E Ch. 11.3 - Prob. 23E Ch. 11.3 - Prob. 24E Ch. 11.3 - Prob. 25E Ch. 11.3 - Prob. 26E Ch. 11.3 - Prob. 27E Ch. 11.3 - Prob. 28E Ch. 11.3 - Prob. 29E Ch. 11.3 - Prob. 30E Ch. 11.3 - Prob. 31E Ch. 11.3 - Prob. 32E Ch. 11.3 - Prob. 33E Ch. 11.3 - Prob. 34E Ch. 11.3 - Prob. 35E Ch. 11.3 - Prob. 36E Ch. 11.3 - Prob. 37E Ch. 11.3 - Prob. 38E Ch. 11.3 - Prob. 39E Ch. 11.3 - Prob. 40E Ch. 11.3 - Prob. 41E Ch. 11.3 - Prob. 42E Ch. 11.3 - Prob. 43E Ch. 11.3 - Prob. 44E Ch. 11.3 - Prob. 45E Ch. 11.3 - Prob. 46E Ch. 11.3 - Prob. 47E Ch. 11.3 - Prob. 48E Ch. 11.3 - Prob. 49E Ch. 11.3 - Prob. 50E Ch. 11.3 - Prob. 51E Ch. 11.3 - Prob. 52E Ch. 11.3 - Prob. 53E Ch. 11.3 - Prob. 54E Ch. 11.3 - Prob. 55E Ch. 11.3 - Prob. 56E Ch. 11.3 - Prob. 57E Ch. 11.3 - Prob. 58E Ch. 11.3 - Prob. 59E Ch. 11.3 - Prob. 60E Ch. 11.3 - Prob. 61E Ch. 11.3 - Prob. 62E Ch. 11.3 - Prob. 63E Ch. 11.3 - Prob. 64E Ch. 11.3 - Prob. 65E Ch. 11.3 - Prob. 66E Ch. 11.3 - Prob. 67E Ch. 11.3 - Prob. 68E Ch. 11.3 - Prob. 69E Ch. 11.3 - Prob. 70E Ch. 11.3 - Prob. 71E Ch. 11.3 - Prob. 72E Ch. 11.3 - Prob. 73E Ch. 11.3 - Prob. 74E Ch. 11.3 - Prob. 75E Ch. 11.3 - Prob. 76E Ch. 11.3 - Prob. 77E Ch. 11.3 - Prob. 78E Ch. 11.3 - Prob. 79E Ch. 11.3 - Prob. 80E Ch. 11.3 - Prob. 81E Ch. 11.3 - Prob. 82E Ch. 11.3 - Prob. 83E Ch. 11.3 - Prob. 84E Ch. 11.3 - Prob. 85E Ch. 11.3 - Prob. 86E Ch. 11.3 - Prob. 88E Ch. 11.3 - Prob. 89E Ch. 11.3 - Prob. 90E Ch. 11.3 - Prob. 91E Ch. 11.3 - Prob. 92E Ch. 11.3 - Prob. 93E Ch. 11.4 - Prob. 1QR Ch. 11.4 - Prob. 2QR Ch. 11.4 - Prob. 3QR Ch. 11.4 - Prob. 4QR Ch. 11.4 - Prob. 5QR Ch. 11.4 - Prob. 6QR Ch. 11.4 - Prob. 7QR Ch. 11.4 - Prob. 8QR Ch. 11.4 - Prob. 9QR Ch. 11.4 - Prob. 10QR Ch. 11.4 - Prob. 1E Ch. 11.4 - Prob. 2E Ch. 11.4 - Prob. 3E Ch. 11.4 - Prob. 4E Ch. 11.4 - Prob. 5E Ch. 11.4 - Prob. 6E Ch. 11.4 - Prob. 7E Ch. 11.4 - Prob. 8E Ch. 11.4 - Prob. 9E Ch. 11.4 - Prob. 10E Ch. 11.4 - Prob. 11E Ch. 11.4 - Prob. 12E Ch. 11.4 - Prob. 13E Ch. 11.4 - Prob. 14E Ch. 11.4 - Prob. 15E Ch. 11.4 - Prob. 16E Ch. 11.4 - Prob. 17E Ch. 11.4 - Prob. 18E Ch. 11.4 - Prob. 19E Ch. 11.4 - Prob. 20E Ch. 11.4 - Prob. 21E Ch. 11.4 - Prob. 22E Ch. 11.4 - Prob. 23E Ch. 11.4 - Prob. 24E Ch. 11.4 - Prob. 25E Ch. 11.4 - Prob. 26E Ch. 11.4 - Prob. 27E Ch. 11.4 - Prob. 28E Ch. 11.4 - Prob. 29E Ch. 11.4 - Prob. 30E Ch. 11.4 - Prob. 31E Ch. 11.4 - Prob. 32E Ch. 11.4 - Prob. 33E Ch. 11.4 - Prob. 34E Ch. 11.4 - Prob. 35E Ch. 11.4 - Prob. 36E Ch. 11.4 - Prob. 37E Ch. 11.4 - Prob. 38E Ch. 11.4 - Prob. 39E Ch. 11.4 - Prob. 40E Ch. 11.4 - Prob. 41E Ch. 11.4 - Prob. 42E Ch. 11.4 - Prob. 43E Ch. 11.4 - Prob. 44E Ch. 11.4 - Prob. 45E Ch. 11.4 - Prob. 46E Ch. 11.4 - Prob. 47E Ch. 11.4 - Prob. 48E Ch. 11.4 - Prob. 49E Ch. 11.4 - Prob. 51E Ch. 11.4 - Prob. 52E Ch. 11.4 - Prob. 54E Ch. 11.4 - Prob. 55E Ch. 11.4 - Prob. 56E Ch. 11.4 - Prob. 57E Ch. 11 - Prob. 1RE Ch. 11 - Prob. 2RE Ch. 11 - Prob. 3RE Ch. 11 - Prob. 4RE Ch. 11 - Prob. 5RE Ch. 11 - Prob. 6RE Ch. 11 - Prob. 7RE Ch. 11 - Prob. 8RE Ch. 11 - Prob. 9RE Ch. 11 - Prob. 10RE Ch. 11 - Prob. 11RE Ch. 11 - Prob. 12RE Ch. 11 - Prob. 13RE Ch. 11 - Prob. 14RE Ch. 11 - Prob. 15RE Ch. 11 - Prob. 16RE Ch. 11 - Prob. 17RE Ch. 11 - Prob. 18RE Ch. 11 - Prob. 19RE Ch. 11 - Prob. 20RE Ch. 11 - Prob. 21RE Ch. 11 - Prob. 22RE Ch. 11 - Prob. 23RE Ch. 11 - Prob. 24RE Ch. 11 - Prob. 25RE Ch. 11 - Prob. 26RE Ch. 11 - Prob. 27RE Ch. 11 - Prob. 28RE Ch. 11 - Prob. 29RE Ch. 11 - Prob. 30RE Ch. 11 - Prob. 31RE Ch. 11 - Prob. 32RE Ch. 11 - Prob. 33RE Ch. 11 - Prob. 34RE Ch. 11 - Prob. 35RE Ch. 11 - Prob. 36RE Ch. 11 - Prob. 37RE Ch. 11 - Prob. 38RE Ch. 11 - Prob. 40RE

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