Perform the indicated operations.
- 
A. 1
B.
C.
D.
Answer: B
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Evaluate the line integral along the curve C.ds , C is the curve r(t) = 3ti + (2 cos 2t)j + (2 sin 2t)k , 0 ? t ?
?
A. ?2 + 4
B. ?
C. + 2
D. ?2 + 2
Solve the problem.Write an iterated triple integral in the order for the volume of the rectangular solid in the first octant bounded by the planes
,
, and
.
A.
B.
C.
D.
Solve the problem.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 9 m down from the top of the dome the ceiling is 25 m wide, find the best location for the light source.
A. 17.4 m down from the top B. 8.6 m down from the top C. 4.3 m down from the top D. 12.9 m down from the top
Use the integral test to determine whether the series converges.
A. diverges B. converges