Verify that the curve r(t) lies on the surface. Give the name of the surface.r(t) = (2t cos t)i + (2t sin t)j + 2t k; x2 + y2 = z2
A. 4t2cos2t + 4t2sin2t = 4t2; hyperboloid
B. 4t2cos2t + 4t2sin2t = 4t2; ellipsoid
C. 4t2cos2t + 4t2sin2t = 4t2; paraboloid
D. 4t2cos2t + 4t2sin2t = 4t2; elliptic cone
Answer: D
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Plot the points. Then determine whether the points are collinear.A(2, 3), B(-1, -3), C(3, 5), D(1, 1)
A. 
The points are collinear
B. 
The points are not collinear
C. 
The points are not collinear
D. 
The points are collinear
Given a function and how it is to be shifted, find an equation for the shifted function.y = x2, left 7, down 4
A. y = (x + 7)2 - 4 B. y = (x + 4)2 - 7 C. y = (x - 7)2 - 4 D. y = (x - 4)2 + 7
Solve.5x2 - 30x + 40 = 0
A. 0, 2, 4 B. -2, -4 C. 2, 4 D. 5, 2, 4
Perform the indicated operation. Assume that variables represent positive numbers.
- 4
A. 9
B. 5
- 4
C. 21
D. -3