Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 2yi + yj + zk; C: the counterclockwise path around the boundary of the ellipse  +  = 1

A. 20?
B. -40
C. 40?
D. -40?


Answer: D

Mathematics

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Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.x < 90 - x2 

A. (-?, 9) ? (10, ?)

B. (-10, 9)

C. (-?, -10) ? (9, ?)

D. (-9, 10)

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Convert the given polar coordinates of the point to rectangular coordinates.

A.
B.
C.
D.

Mathematics

Evaluate.(10 - 4)!

A. 40 B. 120 C. 720 D. 3,628,800

Mathematics

Use the graph to solve the problem.The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 5 cm.

A. 45 cm2 B. 75 cm2 C. 15 cm2 D. 30 cm2

Mathematics