Choose the letter that corresponds to your answer. If your answer is not amongthe choices, choose E.

35. 36. 37. 38. 39. 40. 41. 42. d1 . Consider the parametric equations :1: = t3 3t and y = t2 3. Determine . dt (A) 3t2 3 (B) t2 1 (C) 2t (D) t . . . 3 2 . dy Consrder the parametric equations a: = t 3t and y = t 3. Determine E. (A) 3t2 3 (B) t2 1 (C) 2t (D) 13 Consider the parametric equation: 1' = t3 3t and y = t2 3. Determine the slope of the tangent line to the curve at t = 1. (A) 0 (B) 1 (C) 2 (D) 3 Consider the parametric equation: a: = t3 3t and y = t2 3. Determine the point(s) on the curve where the tangent line is horizontal. (A) (013) (B) (093) (C) (2:2): (_232) (D) (212): (_2,_2) Consider the parametric equation: a: = t3 3t and y = t2 3. Determine the point(s) on the curve where the tangent line is vertical. (A) (0, 3) (13) (03) (C) (2.2). (-2, 2) (D) (21-2), (-2, -2) Determine the midpoint of the line segment connecting (1,2, 3) and (1, 4, 1). (A) (0, 6,4) (B) (1, l, 1) (C) (0,3, 2) (D) (0,0,0) Determine the undirected distance between the points (1, 2, 3) and (l, 4, 1). (A) \\/5 (3) \\/ (C) 3J5 (D) 2%? Which of the following represents a plane parallel to the 331 plane. (A):r=3 (B)y=3 (C)z=3 (D)I+y=3 Determine the coordinates of the center of the sphere with equation I2 +y2+z24x6y+2z1 = 0 (A) (4.62) (3) (23.1) (C) (0.0.0) (D) (1.2.3)