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10) The distance an new hiker travels is described by s(t) = 3vt + 5 kilometers, where t is in hours. (a) Find the average velocity of the hiker from t = 2 hours to t = 4 hours. (b) Compute the instantaneous velocity of the hiker, v(t), using the definition of the derivative (do NOT use differentiation rules)(Notice that we are using t's instead of x's). (c) At what time is the velocity of the hiker equal to 0.2? Justify your answer (if you did not finish (b), explain how you would to do this problem).

10) The distance an new hiker travels is described by s(t) = 3vt + 5 kilometers, where t is in hours. (a) Find the average velocity of the hiker from t = 2 hours to t = 4 hours. (b) Compute the instantaneous velocity of the hiker, v(t), using the definition of the derivative (do NOT use differentiation rules)(Notice that we are using t's instead of x's). (c) At what time is the velocity of the hiker equal to 0.2? Justify your answer (if you did not finish (b), explain how you would to do this problem).

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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10) The distance an new hiker travels is described by s(t) = 3vt + 5 kilometers, where t is in hours. (a) Find the average velocity of the hiker from t = 2 hours to t = 4 hours. (b) Compute the instantaneous velocity of the hiker, v(t), using the definition of the derivative (do NOT use differentiation rules)(Notice that we are using t's instead of x's). (c) At what time is the velocity of the hiker equal to 0.2? Justify your answer (if you did not finish (b), explain how you would to do this problem).
Transcribed Image Text:10) The distance an new hiker travels is described by s(t) = 3vt + 5 kilometers, where t is in hours. (a) Find the average velocity of the hiker from t = 2 hours to t = 4 hours. (b) Compute the instantaneous velocity of the hiker, v(t), using the definition of the derivative (do NOT use differentiation rules)(Notice that we are using t's instead of x's). (c) At what time is the velocity of the hiker equal to 0.2? Justify your answer (if you did not finish (b), explain how you would to do this problem).
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