(a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 2 to each of the following. (1) 2 to 3 (ii) 2 to 2.5 (iii) 2 to 2.1 x x X (b) Find the instantaneous rate of change when r = 2. A'(2) = X

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The image shows a problem related to the rate of change of the area of a circle with respect to its radius. The questions and tasks are organized as follows:

**(a)** Find the average rate of change of the area of a circle with respect to its radius \( r \) as \( r \) changes from 2 to each of the following:

- **(i)** \( 2 \) to \( 3 \)

  [Input box] [X]

- **(ii)** \( 2 \) to \( 2.5 \)

  [Input box] [X]

- **(iii)** \( 2 \) to \( 2.1 \)

  [Input box] [X]

**(b)** Find the instantaneous rate of change when \( r = 2 \).

\[ A'(2) = \]

  [Input box] [X]

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Transcribed Image Text:The image shows a problem related to the rate of change of the area of a circle with respect to its radius. The questions and tasks are organized as follows: **(a)** Find the average rate of change of the area of a circle with respect to its radius \( r \) as \( r \) changes from 2 to each of the following: - **(i)** \( 2 \) to \( 3 \) [Input box] [X] - **(ii)** \( 2 \) to \( 2.5 \) [Input box] [X] - **(iii)** \( 2 \) to \( 2.1 \) [Input box] [X] **(b)** Find the instantaneous rate of change when \( r = 2 \). \[ A'(2) = \] [Input box] [X] Below the questions, there are interactive buttons: - **Need Help?** - [Read It] - [Watch It] At the bottom, there are navigation options: - [Submit Answer] - [View Previous Question] - **Question 4 of 6** - [View Next Question]
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