Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3yi + yj + zk; C: the counterclockwise path around the boundary of the ellipse  +  = 1

A. 10?
B. 30?
C. -30?
D. -30


Answer: C

Mathematics

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Evaluate the cylindrical coordinate integral. 

A.
B. 201,600
C. 380,800
D. 22,400

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Find the area of the region specified in polar coordinates.the region enclosed by the curve r = 5 cos ?

A. 25?
B. ?
C. ?
D. ?

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Find the y- and x-intercepts for the equation. Then graph the equation.3x - 12y = 0

A. (0, 0); (0, 0)

B. (0, 0); (0, 0)

C. (0, 0); (0, 0)

D. (0, 0); (0, 0)

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Convert the fraction to a decimal. If a division does not come out evenly, round the answer to the nearest thousandth.

A. 0.046 B. 4.57 C. 0.457 D. 2.188

Mathematics