1. (05.08 MC) The position function of an object is given by s + t's = 2t, where the position, s, is a function of time, t, for t = 0. If - 2-2st at 352 + 12 ' determine why the acceleration is not defined at t = 0. (1 point) 2 - 2st = 0 fort = 0 and s = 1 2 - 2st = 0 fort = 0 and s = 0 O (352 + 12)2 = 0 fort = 0 and s = 0 O ( 352 + 12)2 = 0 fort = 0 and s = 1 2. (05.08 MC) Let a curve be defined as siny = x + y. Determine which of the following statement(s) is/are true. (1 point) I. The curve has a vertical tangent when cosy - 1 = 0. Il. The curve has no horizontal tangents because cosy - 1 = 0. Ill. The curve has no horizontal tangents because " # 0 dx I only I and Il Ill only I and Ill3. (05.08 MC) The thermal plot of a gaming system during play time is defined by 10In(15t ) - 27 + 100 = 7 + 10t for 0 > o X O Concave up, since 2X > 0 25. (05.08 MC) Justify whether x' + yz = 3xy has a horizontal tangent at (2, 4). (1 point) O Yes, because 3x2 -12 o at (2, 4) 3-2y O No, because 3y -3x2 *0 at (2, 4) 2y - 3x O Yes, because 3y - 3x2 = 0 at (2, 4) 2y - 3x O No, because 3x2 -12 * 0 at (2, 4) 3 -2y