Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and forth across the river bank, going alternately 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 let y be the number of meters Tarzan is from the river bank. Assume that y varies sinusoidally with t, and that y is positive when Tarzan is over water and negative when 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 sinusoidal function. Write an equation expressing Tarzans distance from the river bank in terms of t. b. Predict y when: i. t = 2.8 ii. t = 6.3 iii. t = 15