By computing the volume of the solid of revolution obtained by revolving the region under the semicircle

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from  to  about the -axis, show that the volume of a sphere of radius  is  cubic units.



What will be an ideal response?


 

 cu units


Mathematics

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Is the following correspondence a function?DomainRange 

A. function B. not a function

Mathematics

The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.an = 5n - 3

A. arithmetic, d = 5 B. arithmetic, d = -3 C. geometric, r = 5 D. neither

Mathematics

Convert to rectangular coordinates. Use exact values. ?

What will be an ideal response?

Mathematics

Solve.A 21-inch-square TV is on sale at the local electronics store. If 21 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen to the nearest tenth of an inch.

A. 14.8 in. B. 4.6 in. C. 220.5 in. D. 2.3 in.

Mathematics