(a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 5 to each of the following. (i) 5 to 6 (ii) 5 to 5.5 (iii) 5 to 5.1 (b) Find the instantaneous rate of change when r = 5. A'(5) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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Q9. Please answer all the parts to this question

(a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 5 to each of the following.
(i) 5 to 6
(ii) 5 to 5.5
(iii) 5 to 5.1
(b) Find the instantaneous rate of change when r = 5.
A'(5) =
Transcribed Image Text:(a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 5 to each of the following. (i) 5 to 6 (ii) 5 to 5.5 (iii) 5 to 5.1 (b) Find the instantaneous rate of change when r = 5. A'(5) =
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