Perform the operation and leave the result in trigonometric form.
?
?
A. ?
B. ?
C. ?
D. ?
E. ?
Answer: A
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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3xi + 2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16 
by the cylinder 
A. 4? B. 3? C. 8? D. 2?
Identify the number as prime, composite, or neither.126
A. Neither B. Prime C. Composite
Use synthetic division to find the quotient and the remainder.
A. quotient: 3x4 - 2x3 + 4x2 - 6x + 12; remainder: -25 B. quotient: 3x4 - 2x3 + 6x2 - 12; remainder: 23 C. quotient: 3x4 - 2x3 + 4x2 + 6; remainder: -13 D. quotient: 3x4 + 2x3 + 4x2 + 8x; remainder: -15
Solve the problem.The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 4 sec when the length is 64 inches, what is the period when L = 5.0625 inches?
A. 4.25 sec B. 1.125 sec C. 4.5 sec D. 5 sec