31. If A(x) = ex Ne* , find f'(2). a. 3 C. 3@ b. d. N/W 32. If A(x) = 2( 2* ], find f"(1). a. 21n2 C. 4 b. 412 d. (212)2 33. Find the point on the curve y = e" + ex where the tangent is parallel to the line y = 2ex. a. (1, 2e) C . b. (0, 1) d. (2, e2 + 2e) 34. Find the equation of the tangent to y = since") at the point (0, 0.841). a. X+ ey =[ c. 0.540x + 0.841y = 0 b. 0.540x - ey + 0.841 = 0 d. 0.540x - y + 0.841 = 0 35. Find the equation of the tangent to ) = 5e" that is parallel to y = 5x. a. y = 5x - 5 C. Y = 5x+ e b. y = 5x - e d. y = 5x + 5 36. Find the equation of the tangent to = - that is parallel to y = x+ 5. a. X+y=0 C. x-y =e b. x-y =0 d. ex+ y = 0 37. Find the equation of the tangent to y = 3 + 3ex that is parallel to y = 6ex + 5. 6ex - y = 0 C. 6ex- y = 68 b. 6ex+ y = 0 d. bex+ y = 6e 38. The mass of radon is given by Me() - M.[ ;] , where Mo is the initial mass of radon, in milligrams, and Me is the mass, in milligrams, after / days. If the initial mass was 80 mg, how much radon will remain after 3 days, to the nearest milligram? a. 46 mg C. 40 mg b. 50mg d. Omg 39. The mass of radon is given by Me() - M.[ ;] , where. Mo is the initial mass of radon, in milligrams, and Me is the mass, in milligrams, after / days. If the initial mass was 200 mg, how long will it take, to the nearest day, for the radon to decay to 12.5% of its initial mass? a. 11 days c. 10 days b. 12 days d. 4 days 40. The horizontal displacement of a swinging pendulum is given by x(1) = 1.5 cos() , where x(1) is the horizontal displacement, in centimetres, from the lowest point of the swing, as a function of time, t, in seconds. From what horizontal distance from the lowest point did the pendulum swing, to the nearest tenth of a centimetre? 1.0 cm 0.5 cm b. 1.5 cm d. 0.05 cm