Use the Theorem of Pappus to find the volume of the solid obtained by revolving the region bounded by the graphs of and x=4 about the y-axis.


a.

Mathematics

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Solve the differential equation.x2  = 8y

A. y = Ce- 8/x
B. y = -  + C
C. y = Ce- 8x
D. y = Ce8/x

Mathematics

Solve the problem.Find the derivative of the function    at the point    in the direction in which the function increases most rapidly.

A.
B.
C.
D.

Mathematics

Determine whether or not the triangles are similar.

A. Similar B. Not similar

Mathematics

Special products can be illustrated by using areas of rectangles. Use the figure to justify the special product  What is the sum of the monomials of the black, white, and gray rectangles?

A. a2 + 2ab + b2 B. a2 + 2b2 C. 2a + 2ab + b2 D. 2a2 + b2

Mathematics