Please answer all of the questions, the answer must be one of the multiple choice or fill in the blank. Please make sure your arithmetic is good, as the final answer has to be correct. Make sure to take the time and do each problem with care, please do not rush. Thank you!

U Question 1(Multiple Choice Worth 5 points) (04.05) Given the relationship x3 + 2y2 =10, with y > O and g = 4 units/min, nd the value of %' at the instant y = 1 unit. O E units/min 3 Q g units/min O ' units/min "L. Q ? units/min o 5 2 O = u E E O O 3 8 S 0| 3 E U 0 Question 3(Multiple Choice Worth 5 points) (04.06) Which of the following statements is/are true? 1. If f '(x) exists and is nonzero for all x, then f(1) # f(0). Il. If f is differentiable for all x and f (-1) = f(1), then there is a number c, such that (c| 15 The particle always moves to the right. Question 6(Multiple Choice Worth 5 points) (04.04) Given the position function s(t), s(t) = to + 4t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 2 seconds. O 8 m/sec; 4 m/sec2 10 m/sec; 3 m/sec2 16 m/sec; 16 m/sec2 16 m/sec; 12 m/sec2Question 7(Multiple Choice Worth 5 points) (04.02) Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x): 0 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 O 0.5 0 2 01 O 1.5 Question 8(Multiple Choice Worth 5 points) (04.05) The side length of a rectangular box with a square base is increasing at the rate of 2 ft/sec, while the height is decreasing at the rate of 2 ft/sec. At what rate is the volume of the box changing when the side length is 10 ft and the height is 12 ft? Remember to use the product rule when you find the expression for dV dt 680 fts/sec O 40 ft3/sec O -280 fts/sec O 280 fts/secQuestion 9(Multiple Choice Worth 5 points) (04.06) Evaluate lim 7 3 x x x2 Oo 07 O -DO Question 10(Multiple Choice Worth 5 points) (04.07) The local linear approximation of a function f will always be less than or equal to the function's value if, for all x in an interval containing the point of tangency, Of' co Of ' > 0 Of" 0