Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 18 - y2, x = y2, y = 0

A. ?
B. 162?
C. ?
D. 81?


Answer: D

Mathematics

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Solve the system of equations.x2 - y2 = 39x - y = 3

A. (-8, 5) B. (-8, -5) C. (8, -5) D. (8, 5)

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Solve the system analytically.x - y = 10x - z = 10y + z = 10

A. ? B. {(15, 5, 5)} C. {(30, 20, -10)} D. {(20, 10, 0)}

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Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of ?, where . ?

A.
B.
C.
D.
E.

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Solve the problem.Find an equation of the form  that describes the outline of a satellite dish such that the bottom of the dish passes through (0, 0), the diameter of the dish is 24 inches, and the depth of the dish is 5 inches

A. y = x2
B. y = x2 
C. y = x2 
D. y = x2

Mathematics