Evaluate the improper integral.

A. 8
B.
C.
D. 1


Answer: B

Mathematics

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Find the area of the surface generated by revolving the curve about the indicated axis.  x = sin t, y = 7 + cos t, 0 ? t ? 2?; x-axis

A. 7?2 B. 42?2 C. 28?2 D. 21?2

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Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.About the line y = 3x = y + 6

A. ?
B. 99?
C. ?
D. ?

Mathematics

Solve the problem.The barometric pressure p at an altitude of h miles above sea level satisfies the differential equation   If the pressure at sea level is 29.92 inches of mercury, find the barometric pressure at 16,000 ft.

A. 8.16 in. B. 16.32 in. C. 1.22 in. D. 54.85 in.

Mathematics

Solve the problem.An open-top rectangular box has a square base and it will hold 256 cubic centimeters (cc). Each side of the base has length x cm. The box's surface area S is given by S(x) =  + x2. Estimate the minimum surface area and the value of x that will yield it.

A. 207 cm2 when x = 6 cm B. 256 cm2 when x = 6 cm C. 192 cm2 when x = 8 cm D. 256 cm2 when x = 8 cm

Mathematics