3. Tarzan Problem Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the riverbank, going alternatively over land and water. Jane decides to model mathematically his motion and starts her stopwatch. Let t be the number of seconds the stopwatch reads and y be the number of meters Tarzan is from the river bank. Assume that y varies sinusodially with t, and that y is positive when Tarzan is over water and negative whén he is over land. Jane finds that when t= 2. Tarzan is at one end of his swing, where y-23. She finds that when t-5 he reaches the other end of his swing and y 17. a. Sketch a graph of this sinusoid. b. Write an equation expressing Tarzan's distance from the riverbank in terms of t. c. Predict y when 1=2.8 1=6.3 t-15 i. il. d. Where was Tarzan when Jane started her stopwatch? e. Find the least positive value oft for which Iarzan is directly over the river bank (Le. y 0)

3. Tarzan Problem Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the riverbank, going alternatively over land and water. Jane decides to model mathematically his motion and starts her stopwatch. Let t be the number of seconds the stopwatch reads and y be the number of meters Tarzan is from the river bank. Assume that y varies sinusodially with t, and that y is positive when Tarzan is over water and negative whén he is over land. Jane finds that when t= 2. Tarzan is at one end of his swing, where y-23. She finds that when t-5 he reaches the other end of his swing and y 17. a. Sketch a graph of this sinusoid. b. Write an equation expressing Tarzan's distance from the riverbank in terms of t. c. Predict y when 1=2.8 1=6.3 t-15 i. il. d. Where was Tarzan when Jane started her stopwatch? e. Find the least positive value oft for which Iarzan is directly over the river bank (Le. y 0)

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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