Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves about the given lines.y = 3x,y = x2; revolve about the y-axis

A. ?
B. ?
C. ?
D. - ?


Answer: C

Mathematics

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Find the derivative of y with respect to x, t, or ?, as appropriate.y = x7ln x - x3

A. 8x6 - x2 B. x6 - x2 + 7x6ln x C. x7ln x - x2 + 7x6 D. 7x6 - x2

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Draw a line that has the given slope and m = -2, b = 3 

A.

B.

C.

D.

Mathematics

Use a Venn Diagram and the given information to determine the number of elements in the indicated set.n(U) = 104, n(A) = 41, n(B) = 27, n(C) = 47, n(A ? B) = 3, n(A ? C) = 4,  and  Find 

A. 5 B. 35 C. 40 D. 1

Mathematics

Solve using Cramer's Rule.-3x + 5y - z = -2  x - 3y - 5z = -50 6x + y + z = 62

A. (9, 4, 8) B. (6, 8, 6) C. (8, 6, 8) D. (8, -6, -8)

Mathematics