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14. (Standard S6: Related rates) The radius of a circular puddle is growing at a rate of 5 centimeters per second. How fast is its area growing at the instant when the radius is 10 cm. Remember to include units in your answer.

14. (Standard S6: Related rates) The radius of a circular puddle is growing at a rate of 5 centimeters per second. How fast is its area growing at the instant when the radius is 10 cm. Remember to include units in your answer.

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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14. (Standard S6: Related rates) The radius of a circular puddle is growing at a rate of 5 centimeters per second. How fast is its area growing at the instant when the radius is 10 cm. Remember to include units in your answer. 15. (Standard S7: Linearization) Suppose you know that q(3) = 6, q'(3) = –4, and q" (3) = –1. (a) Use the given information to estimate q(3.5). (b) Is your estimation and over estimation or an under estimation. Explain how you know.
Transcribed Image Text:14. (Standard S6: Related rates) The radius of a circular puddle is growing at a rate of 5 centimeters per second. How fast is its area growing at the instant when the radius is 10 cm. Remember to include units in your answer. 15. (Standard S7: Linearization) Suppose you know that q(3) = 6, q'(3) = –4, and q" (3) = –1. (a) Use the given information to estimate q(3.5). (b) Is your estimation and over estimation or an under estimation. Explain how you know.
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