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. 3?
B. 2?
C. 4?
D. 8?


Answer: D

Mathematics

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Evaluate the integral.

A.  cos 81
B. (1 - cos 81)
C. (1 - cos 81)
D.  cos 81

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Graph the function.y = -2 cot 

A.

B.

C.

D.

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Solve the problem.The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the 3 years considered. Fit a quadratic function f(x) = ax2 + bx + c to the data. What is the value of c?

A. 14 B. 20 C. 12.8 D. 23.6

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What constant acceleration is required to increase the speed of a car from 20 mi/h to 45 mi/h in 5 s?

What will be an ideal response?

Mathematics