A woman attached to a bungee cord jumps from a bridge that is 36 m above a river. Her height in meters above the river t sec after the jump is y(t) = 18 (1+ e -t cost), for t2 0. a. Determine her velocity att=1 and t= 4. b. Use a graphing utility to determine when she is moving downward and when she is moving upward during the first 10 s. c. Use a graphing utility to estimate the maximum upward velocity. %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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9.

A woman attached to a bungee cord jumps from a bridge that is 36 m above a river. Her height in meters above the river t seconds
-t cost), for t > 0.
after the jump is y(t) = 18 (1+ e
a. Determine her velocity at t=1 and t= 4.
b. Use a graphing utility to determine when she is moving downward and when she is moving upward during the first 10 s.
c. Use a graphing utility to estimate the maximum upward velocity.
Transcribed Image Text:A woman attached to a bungee cord jumps from a bridge that is 36 m above a river. Her height in meters above the river t seconds -t cost), for t > 0. after the jump is y(t) = 18 (1+ e a. Determine her velocity at t=1 and t= 4. b. Use a graphing utility to determine when she is moving downward and when she is moving upward during the first 10 s. c. Use a graphing utility to estimate the maximum upward velocity.
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