Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -8y3i + 8x3j + 6z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 

A. 1944?
B. - 972?
C. -1944?
D. 972?


Answer: B

Mathematics

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Graph the function. Then identify its domain and range.f(x) = -6x + 4

A. Domain: (-?, ?); range: (-?, ?)

B. Domain: (-?, ?); range: (-?, ?)

C. Domain: (-?, ?); range: (-?, ?)

D. Domain: (-?, ?); range: (-?, ?)

Mathematics

Provide an appropriate response. The profit function for producing a certain item is P(x) = 12x - 48. What is the breakeven point for this function? That is, how many items must be sold to break even, making no profit at all?

A. 4 B. -48 C. 48 D. -4

Mathematics

Use a calculator to solve the equation on the interval [0, 2?). Round to the nearest hundredth of a radian.cos 2x - cos x = 0

A. 1.05, 3.14, 5.24 B. 0, 1.05, 3.14, 5.24 C. 0, 2.09, 4.19 D. 0, 2.09, 3.14, 4.19

Mathematics

Determine whether the graph is the graph of a function.

A. Yes B. No

Mathematics