Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.


c.

Mathematics

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Factor.512y3 + 1

A. (8y + 1)(64y2 - 8y + 1) B. (8y - 1)(64y2 + 8y + 1) C. (512y + 1)(y2 - 8y + 1) D. (8y + 1)(64y2 + 1)

Mathematics

Estimate. Then find the actual sum0.328 + 55 + 295.1

A. Estimate: 350.5; Actual: 349.428 B. Estimate: 350.4; Actual: 349.428 C. Estimate: 350.5; Actual: 350.428 D. Estimate: 350.4; Actual: 350.428

Mathematics

Find the exact value of the expression.cos 25° cos 35° - sin 25° sin 35°

A.
B.
C.
D.

Mathematics

Solve the problem.An open-top rectangular box has a square base and it will hold 109 cubic centimeters (cc). Each side of the base has length x cm, and the box has a height of y cm. Express the surface area S as a function of the length x of a side of the base.

A. S(x) = 436 + x2
B. S(x) =  + x2
C. S(x) =  + x2
D. S(x) =  + x2

Mathematics