As shown in diagram attached: http://i894.photobucket.com/albums/ac149/bri22xo_photo/calcdiag.jpg A clock sits on a desk so that its center is 35 inches from the floor. The MINUTE hand is 5 inches long. Let theta (θ) be the angle between the 12 o'clock position and the minute's hand position at any time (t) minutes after the hour. a) Using a trigonometric function of theta (θ) write an expression for y the distance from the tip of the minute to the floor. b) Express theta (θ) as a function of time (t). c) In terms of θ, find an expression for dy/dt the rate at which y changes. d) How many minutes after the hour is y increasing most rapidly? Use dy/dt to justify answer.