One root of the equation is given. Find the remaining roots of the equation using synthetic division.x3 + 4x2 - 10x + 12 = 0; 1 + j
A. 1 - j, 6
B. 1 - j, -6
C. -6, 6
D. 1 - j, 6j
Answer: B
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Determine if the series converges or diverges; if the series converges, find its sum.
A. Converges; 1
B. Converges; ln 
C. Converges; ln 9
D. Diverges
Find the curvature of the space curve.r(t) = -4i + (10 + 2t)j + (t2 + 2)k
A. ? = 
B. ? = - 
C. ? = 
D. ? = 
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
Identify the system as consistent or inconsistent, and dependent or independent. x + y = -32x - 2y = -3
A. Inconsistent and dependent B. Consistent and dependent C. Consistent and independent D. Inconsistent and independent