(a) Find the average rate of change of the area of a circle with respect to its radius ras r changes from 3 to each of the following. (i) 3 to 4 (ii) (iii) 3 to 3.5 3 to 3.1 (b) Find the instantaneous rate of change when r = 3. A'(3) =

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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(a) Find the average rate of change of the area of a circle with respect to its radius ras r changes from 3 to each of the following.
(i)
3 to 4
(ii)
(iii)
3 to 3.5
3 to 3.1
(b) Find the instantaneous rate of change when r = 3.
A'(3) =
Transcribed Image Text:(a) Find the average rate of change of the area of a circle with respect to its radius ras r changes from 3 to each of the following. (i) 3 to 4 (ii) (iii) 3 to 3.5 3 to 3.1 (b) Find the instantaneous rate of change when r = 3. A'(3) =
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