The function f(x) = ᴫx2 describes the area of a circle, f(x), in square inches, whose radius measures x inches. If the radius is changing, Solve, a. Find the average rate of change of the area with respect to the radius as the radius changes from 4 inches to 4.1 inches and from 4 inches to 4.01 inches. b. Find the instantaneous rate of change of the area with respect to the radius when the radius is 4 inches. (express answers in terms of ᴫ).
The function f(x) = ᴫx2 describes the area of a circle, f(x), in square inches, whose radius measures x inches. If the radius is changing, Solve, a. Find the average rate of change of the area with respect to the radius as the radius changes from 4 inches to 4.1 inches and from 4 inches to 4.01 inches. b. Find the instantaneous rate of change of the area with respect to the radius when the radius is 4 inches. (express answers in terms of ᴫ).
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 8P
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The function f(x) = ᴫx2 describes the area of a circle, f(x), in square inches, whose radius measures x inches. If the radius is changing, Solve, a. Find the average rate of change of the area with respect to the radius as the radius changes from 4 inches to 4.1 inches and from 4 inches to 4.01 inches. b. Find the instantaneous rate of change of the area with respect to the radius when the radius is 4 inches. (express answers in terms of ᴫ).
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