Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -8y3i + 8x3j + 3z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 

A. -384?
B. 384?
C. - 192?
D. 192?


Answer: C

Mathematics

You might also like to view...

Provide an appropriate response.How many dimensions does a line have?

A. 3 B. 2 C. 1 D. 0

Mathematics

Provide an appropriate response.Simplify by combining like terms: 6.7a - 8.9b + 5.3 - 2.9b + 1.7 - 4.5a

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the solution set for the system by graphing both of the system's equations in the same rectangular coordinate system and finding points of intersection.x = (y + 2)2 - 1(x - 2)2 + (y + 2)2 = 1 

A. {(-1, -2), (2, -2)} B. {(2, -2)} C. {(-1, -2)} D. ?

Mathematics

Fill in the blank with the correct inequality symbol, using the rules for producing equivalent inequalities.If  ? 9, then x  36.

A. > B. < C. ? D. ?

Mathematics