Mathematics: A) find the average rate of change of the area of a circle with respect to its radius r as r changes from 4 to each of the following. (i) 4 to 5 (ii) 4 to 4.5 (iii) 4 to 4.1 (b) find the instantaneous rate of change when r = 4. a (4) =

A) find the average rate of change of the area

Ответ:

discolldiane7351

14.01.2022

Area = π x radius²
dA/dr = 2πr
Average rate of change = (rate of change at one instant + rate of change at other instant)/2
= (2πr₁ + 2πr₂)/2
= (r₁ + r₂)π
Ai) 9π
Aii) 8.5π
Aiii) 8.1π

B) Instantaneous change:
(dA/dr) at (r = 4) = 2π(4)
= 8π

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Ответ:

maciemarklin3032

16.11.2022

Mathematics

find unit rate

Step-by-step explanation: then u can easily solve

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A) find the average rate of change of the area of a circle with respect to its radius r as r changes from 4 to each of the following.

(i) 4 to 5

(ii) 4 to 4.5

(iii) 4 to 4.1

(b) find the instantaneous rate of change when r = 4.

a'(4) =

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A) find the average rate of change of the area of a circle with respect to its radius r as r changes from 4 to each of the following. (i) 4 to 5 (ii) 4 to 4.5 (iii) 4 to 4.1 (b) find the instantaneous rate of change when r = 4. a'(4) =

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Answers on questions: Mathematics

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A) find the average rate of change of the area of a circle with respect to its radius r as r changes from 4 to each of the following.

(i) 4 to 5

(ii) 4 to 4.5

(iii) 4 to 4.1

(b) find the instantaneous rate of change when r = 4.

a'(4) =