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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Give an appropriate answer.A bee was flying downward along the curve that is the intersection of  with the plane y = 1. At the point  the bee went off on the tangent line. Where did the bee hit the yz-plane?

A. (1, 0, -19) B. (0, 1, 25) C. (0, 1, -8) D. (0, 1, -19)

Mathematics

Solve the initial value problem.y'(t) + 7y = 3, y(0) = 1

A. = e7t + 
B. = e-7t 
C. = e7t 
D. = e-7t + 

Mathematics

Use the information below to determine the indicated set. U = {x | x ? N and x ? 15} A = {x | x ? N and 5 < x < 10} B = {x | x ? N and x is even and x < 14} C = {x | x ? N and 8 ? x ? 13}A ? (B ? C)

A. {6, 7, 8, 9, 10, 12} B. {6, 8, 9} C. {6, 8, 9, 10, 11, 12, 13} D. {5, 6, 7, 9, 10}

Mathematics

Complete the identity.The expression   + cot ?is to be the left hand side of an equation that is an identity. Which one of the following four expressions can be used as the right hand side of the equation to complete the identity?

A. cos ? B. sec ? C. csc ? D. tan ?

Mathematics