Answer each question appropriately.Which of the following integrals, if any, calculates the area of the shaded region?

A. dx
B. dx
C. dx
D. dx

Answer: D

Mathematics

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Find the flux of the curl of field F through the shell S.F = 3zi - 5xj - 5yk ; S: r(r, ?) = r cos ?i + r sin ?j + 4rk, 0 ? r ? 4 and 0 ? ? ? 2?

A. -80 B. 0 C. 80? D. -80?

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Mathematics

Use the given triangles to evaluate the expression. Rationalize all denominators. csc 30°

A.
B.
C.
D. 2

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Mathematics

Round the figure to the nearest dollar.$5,282.52

A. $5,282.5 B. $5,282 C. $5,282.52 D. $5,283

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Mathematics

Simplify the expression. Assume that all variables are positive when they appear.

A. 5
B. 5
C.
D.

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Mathematics