Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere  and on the sides by the cylinder . Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration .

A.
B.
C.
D.


Answer: B

Mathematics

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Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis.x = 3y - y2, x = 0

A. ?
B. ?
C. ?
D. ?

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Decide if a triangle exists that satisfies the given conditions.b = 43, c = 25, ? = 30°

A. Yes B. No

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Match the story with the correct figure.The amount of rainfall as a function of time, if the rain fell more and more softly.

A.

B.

C.

D.

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Use the properties of logarithms to rewrite and simplify the logarithmic expression. ? log2 (42 · 74) ?

A. 4 + 9 log2 4 B. 9 + 4 log2 4 C. 2 + 2 log2 7 D. 4 + 4 log2 7 E. 2 + 4 log2 7

Mathematics