Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 5 units from the center of the sphere. Set up the triple integral for the volume of D in cylindrical coordinates.

A.
B.
C.
D.


Answer: A

Mathematics

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Identify any vertical, horizontal, or oblique asymptotes in the graph of y = f(x). State the domain of f.

A. Vertical: x = 0; horizontal: y = -3; (-?, 0) ? (0, ?) B. Vertical: x = -3; horizontal: y = 0; (-?, -3) ? (-3, ?) C. Vertical: x = -3; horizontal: y = 0; (-?, 0) ? (0, ?) D. Vertical: x = 0; horizontal: y = -3; (-?, -3) ? (-3, ?)

Mathematics

Rationalize the denominator. 

A. 8z
B.
C.
D. 297

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Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = -

A.

B.

C.

D.

Mathematics

Expand the expression using the Binomial Theorem.(x - 1)6

A. x6 - 6x5 - 15x4 - 20x3 - 15x2 - 6x - 6 B. x6 - 6x5 +15x4 - 20x3 + 15x2 - 6x + 1 C. x6 - 6x5 - 30x4 - 120x3 - 360x2 - 720x + 720 D. x6 - 6x5 +30x4 - 120x3 + 30x2 - 6x + 1

Mathematics