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Directions: Work in your small group to complete this worksheet. Return the completed worksheet along with the homework exercises at the beginning of next class. All answers must be justified and work shown for full credit. Explanations should be written using complete sentences on the lines provided. 1. A rock is thrown into a lake causing a wave to ripple outward. Suppose the radius of the circle bounded by the rippling is changing at a rate of 2 m/s at the moment when the circle's radius is 3 m. Determine how fast the area of the circle is changing at this same moment. a) Draw a picture and be sure to label it appropriately. b) Write an equation relating the area of the circle and the radius. c) Differentiate with respect to time. A= TT12 d dt d) How fast is the area of the circle changing when the radius is 3 m and changing at a rate o 2 m/s?

Directions: Work in your small group to complete this worksheet. Return the completed worksheet along with the homework exercises at the beginning of next class. All answers must be justified and work shown for full credit. Explanations should be written using complete sentences on the lines provided. 1. A rock is thrown into a lake causing a wave to ripple outward. Suppose the radius of the circle bounded by the rippling is changing at a rate of 2 m/s at the moment when the circle's radius is 3 m. Determine how fast the area of the circle is changing at this same moment. a) Draw a picture and be sure to label it appropriately. b) Write an equation relating the area of the circle and the radius. c) Differentiate with respect to time. A= TT12 d dt d) How fast is the area of the circle changing when the radius is 3 m and changing at a rate o 2 m/s?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For 1 a. It's asking to draw a picture.
K t shift end B. 1O ctr hp HP Laptop Worksheet Section 3.9 МАС2311 Name: Directions: Work in your small group to complete this worksheet. Return the completed worksheet along with the homework exercises at the beginning of next class. All answers must be justified and work shown for full credit. Explanations should be written using complete sentences on the lines provided. 1. A rock is thrown into a lake causing a wave to ripple outward. Suppose the radius of the circle bounded by the rippling is changing at a rate of 2 m/s at the moment when the circle's radius is 3 m. Determine how fast the area of the circle is changing at this same moment. a) Draw a picture and be sure to label it appropriately. b) Write an equation relating the area of the circle and the radius. c) Differentiate with respect to time. 2 A = TTI dt d) How fast is the area of the circle changing when the radius is 3 m and changing at a rate o" 2 m/s?
Transcribed Image Text:K t shift end B. 1O ctr hp HP Laptop Worksheet Section 3.9 МАС2311 Name: Directions: Work in your small group to complete this worksheet. Return the completed worksheet along with the homework exercises at the beginning of next class. All answers must be justified and work shown for full credit. Explanations should be written using complete sentences on the lines provided. 1. A rock is thrown into a lake causing a wave to ripple outward. Suppose the radius of the circle bounded by the rippling is changing at a rate of 2 m/s at the moment when the circle's radius is 3 m. Determine how fast the area of the circle is changing at this same moment. a) Draw a picture and be sure to label it appropriately. b) Write an equation relating the area of the circle and the radius. c) Differentiate with respect to time. 2 A = TTI dt d) How fast is the area of the circle changing when the radius is 3 m and changing at a rate o" 2 m/s?
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