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A woman attached to a bungee cord jumps from a bridge that is 38 m above a river. Her height in meters above the river t seconds after the jump is y(t) = 19 (1 + e ¯t cos t), for t2 0. 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.

A woman attached to a bungee cord jumps from a bridge that is 38 m above a river. Her height in meters above the river t seconds after the jump is y(t) = 19 (1 + e ¯t cos t), for t2 0. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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A woman attached to a bungee cord jumps from a bridge that is 38 m above a river. Her height in meters above the river t seconds after the jump is -t cost), for t20. y(t) = 19 (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 38 m above a river. Her height in meters above the river t seconds after the jump is -t cost), for t20. y(t) = 19 (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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