Verify that the curve r(t) lies on the surface. Give the name of the surface.r(t) = 
; z=x2 + y2
A. 3t = 3t cos2t + 3t sin2t; elliptic cylinder
B. 3t = 3t cos2t + 3t sin2t; paraboloid
C. 3t = 3t cos2t + 3t sin2t; ellipsoid
D. 3t = 3t cos2t + 3t sin2t; hyperboloid
Answer: B
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Find a parametrization for the line segment beginning at P1 and ending at P2.P1(-5, 2, -1) and P2
A. x = 5t - 5, y = 2, z = 
t - 1, 0 ? t ? 1
B. x = -5t, y = 2, z = - 
t + 1, 0 ? t ? 1
C. x = -5t, y = 2t, z = - 
t + 1, 0 ? t ? 1
D. x = 5t - 5, y = 2t, z = 
t - 1, 0 ? t ? 1
Decide whether or not the given equation is an identity.1 - 
= sin y
A. Yes B. No
Find the focus and directrix of the parabola.y2 - 24x = 0
A. (6, 0); x = 6 B. (6, 0); x = -6 C. (0, 6); y = -6 D. (6, 0); y = -6
Assume you have a digraph with 5 vertices (A, B, C, D, and E) and 9 arcs. A is incident from C, D, and E; B is incident to D and E and incident from C; D is incident to C and incident from E.Vertex B has
A. indegree 3, outdegree 0. B. indegree 0, outdegree 3. C. indegree 2, outdegree 1. D. indegree 1, outdegree 2. E. none of these