Find the velocity vector in terms of ur and u?.r = ea? and 
= 8
A. v = 8aea?ur + 8ea?u?
B. v = 8aea?ur + 8aea?u?
C. v = 8ea?ur + 8ea?u?
D. v = 8ea?ur + 8aea?u?
Answer: A
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Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: portion of the sphere x2 + y2 + z2 = 1 that lies in the first octantDensity: constant
A. 
B. 
C. 
D. 
Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R.
at 
; R: |x - 1| ? 0.1, |y - 1| ? 0.1
A. |E| ? 0.0176 B. |E| ? 0.0139 C. |E| ? 0.0113 D. |E| ? 0.0093
Solve the problem.If friction is ignored, the time t (in seconds) required for a block to slide down an inclined plane is given by the formula t = 
where a is the length (in feet) of the base and g ? 32 feet per second per second is the acceleration of gravity. How long does it take a block to slide down an inclined plane with base a = 11 when 
If necessary, round the answer to the nearest tenth of a second.
A. 0.3 sec B. 1.3 sec C. 1.2 sec D. 1.5 sec
Find the distance between the points.(4, -7), (7, -1)
A. 3
B. 27
C. 27
D. 3