Solve the problem.The disk (x - 5)2 + y2 ? 1 is revolved about the y-axis to generate a torus. Find its volume. (Hint: ?, since it is the area of a semicircle of radius 1.)

A. ?2
B. 5?
C. 10?2
D. 5?2


Answer: C

Mathematics

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Use a vertical format to find the product.x3 + 4x - 2

A. x4 + 7x3 + 4x2 + 26x - 14 B. x3 + 11x2 + 26x - 14 C. x4 + 7x3 + 4x2 + 30x + 14 D. x4 + 4x2 - 2x + 7

Mathematics

Solve the system by the substitution method. Be sure to check all proposed solutions.  x - 4y = -35x - 3y = -15

A. {(3, -1)} B. {(-3, 0)} C. {(-2, -3)} D. ?

Mathematics

Use the addition property of inequality to solve the inequality and graph the solution set on a number line.7x - 7 ? 6x - 8

A. (-15, ?)

B. (-1, ?)

C. (-?, -1]

D. [-1, ?)

Mathematics

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log17

A. log17y - log175 -  log17x
B. log17(5) - log17y
C. log175 +  log17x - log17y
D. log175 ?  log17m ÷ log17y

Mathematics