The function f(x) = TX describes the area of a circle, f(x), in square inches, whose radius measures x inches.%3Da. If the radius is changing, find the average rate of change of the area with respect to the radius as the radius changes from 3 inches to 3.2 inches and from 3 inches to 3.02 inches.b. If the radius is changing, find the instantaneous rate of change of the area with respect to the radius when the radius is 3 inches.a. As the radius changes from 3 inches to 3.2 inches, the average rate of change of the area with respect to the radius is(Simplify your answer. Type an exact answer, using t as needed. Use integers or decimals for any numbers in the expression.)square inches per inch.Enter your answer in the answer box and then click Check Answer.Clear AllpartsremainingP Type here to search)耳

Answered: The function f(x) = Tx describes the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The function f(x) = TX describes the area of a circle, f(x), in square inches, whose radius measures x inches.
%3D
a. If the radius is changing, find the average rate of change of the area with respect to the radius as the radius changes from 3 inches to 3.2 inches and from 3 inches to 3.02 inches.
b. If the radius is changing, find the instantaneous rate of change of the area with respect to the radius when the radius is 3 inches.
a. As the radius changes from 3 inches to 3.2 inches, the average rate of change of the area with respect to the radius is
(Simplify your answer. Type an exact answer, using t as needed. Use integers or decimals for any numbers in the expression.)
square inches per inch.
Enter your answer in the answer box and then click Check Answer.
Clear All
parts
remaining
P Type here to search
)耳

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$I t i s g i v e n t h a t, t h e f u n c t i o n f (x) = π x^{2}, w h e r e f (x) i s a r e a o f c i r c l e a n d x i s t h e r a d i u s o f c i r c l e . A n d r a d i u s c h a n g e s f r o m 3 i n c h e s t o 3.2 i n c h e s . w e h a v e t o f i n d t h e a v e r a g e r a t e o f c h a n g e o f t h e a r e a w . r . t t h e r a d i u s .$

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