Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -3y3i + 3x3j + 9z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 
A. 144?
B. - 72?
C. -144?
D. 72?
Answer: B
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Simplify the expression.z0 + 140
A. 0 B. z + 14 C. 2 D. 15
List the critical values of the related function. Then solve the inequality.
< 
A. -
, -4, -2, 1, 4, 
; (-
, -4) ? (-1, 1) ? (4, 
)
B. -
, 
; (-
, 
)
C. 1, 4; (-?, 1) ? (4, ?)
D. -
, -4, -2, 1, 4, 
; (-?, -
) ? (-4, -1) ? (1, 4) ? (
, ?)
Simplify by factoring out the given factor.x4/7 + 3x3/7; x3/7
A. x1/7(x4/7 + 3) B. x1/7(x1/7 + 3) C. x3/7(x-1/7 + 3) D. x3/7(x1/7 + 3)
Decide if the answer is reasonable or unreasonable by rounding the numbers and estimating the answer. If the answer is not reasonable, find the correct answer.80.2 ÷ 77.6 = 10.34
A. Unreasonable, should be 0.01034 B. Reasonable C. Unreasonable, should be 0.1034 D. Unreasonable, should be 1.034