Please explain how you got to your answer and answer them all please, thank you!

d1 33. Find the value(5) of of xzy + 3,12 = 5 at y = 1. (EUg only (B) only {C} i only (D) :t (E) : -_._____________ 34. The graph of y = x5- 23 5x + 2 has a local maximum at (A) (2.1mm) (B) (2.120,8.061) (C) (pagan) (D) (0.786,4.209) (E) (U.666,1.926) _"-'___r____~______ 35. Approximate 1'01st .1' (it using the Trapezoid Rule with 11 = 4, to three decimal places. (A) 0.277 (B) 0.273 (C) 0.555 (D) 1.109 (E) 2.219 39. Find two non-negative numbers x and 3; whose sum is 100 and for which xzy is a maximum. (A) I = 33.333 and y = 3.333 (B) x250 andy=50 (C) :t = 33.333 and y = 66.66? (D) 3: =100 andy=0 (E) 1' = 66.667 and y = 33.333 --__.________________ 40. Find the distance traveled (to three decimal places) from t. = 1 to t = 5 seconds, for a particle whose velocity is given by :10) = t + ]n t. (A) 6.000 (B) 1.609 (C) 16.047 (D) 0.800 (E) 148.413 44. A particle's height at a time t 2 D is given by Mr) = 100: 16F. What '15 its maximum height? (A) 312500 (B) 156.250 (C) 73.125 (D) 6.250 (E) 3.125 ax" +5x;x2 45. If x) is continuous and differentiable and x) : { then b 2 tax2 33:; :r > 2 ' (A) 0.5 (B) 0 (C) 2 (D) 6 (E) There is no value of b