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Dean Eddie Perry is hiking up the side of a mountain, along a trail that has a lot of switchbacks. His position is given by †(t) = (2 – , (0.5 – ) cos(4rt), 0.3+0.2t) where x, y, z are measured in miles and t is in hours. Eddie begins his hike at time t = 0 and reaches the summit at t = 4 hours. a. Find Eddie's position after two hours. b. Find Eddie's velocity vector after two hours. c. Set up an integral to calculate the length of the entire trail. Then use technology to evaluate your integral.

Dean Eddie Perry is hiking up the side of a mountain, along a trail that has a lot of switchbacks. His position is given by †(t) = (2 – , (0.5 – ) cos(4rt), 0.3+0.2t) where x, y, z are measured in miles and t is in hours. Eddie begins his hike at time t = 0 and reaches the summit at t = 4 hours. a. Find Eddie's position after two hours. b. Find Eddie's velocity vector after two hours. c. Set up an integral to calculate the length of the entire trail. Then use technology to evaluate your integral.

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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Dean Eddie Perry is hiking up the side of a mountain, along a trail that has a lot of switchbacks. His position is given by T(t) = (2 – , (0.5 – ) cos(4nt), 0.3+ 0.2t) where x, y, z are measured in miles and t is in hours. Eddie begins his hike at time t = 0 and reaches the summit at t = 4 hours. a. Find Eddie's position after two hours. b. Find Eddie's velocity vector after two hours. c. Set up an integral to calculate the length of the entire trail. Then use technology to evaluate your integral.
Transcribed Image Text:Dean Eddie Perry is hiking up the side of a mountain, along a trail that has a lot of switchbacks. His position is given by T(t) = (2 – , (0.5 – ) cos(4nt), 0.3+ 0.2t) where x, y, z are measured in miles and t is in hours. Eddie begins his hike at time t = 0 and reaches the summit at t = 4 hours. a. Find Eddie's position after two hours. b. Find Eddie's velocity vector after two hours. c. Set up an integral to calculate the length of the entire trail. Then use technology to evaluate your integral.
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