Express the statement as an equation involving the indicated variables.The volume V of a sphere is  times ? times the cube of the radius r.

A. V = ?r2
B. V = ?r
C. V = 
D. V = ?r3


Answer: D

Mathematics

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Sketch a graph of a function f that has the given properties.(a) Defined for all real numbers(b) Increasing for -3 < x < -1 and 2 < x < ?(c) Decreasing for -? < x < -3 and -1 < x < 2(d) Concave upward for -? < x < -2 and 1 < x < ?(e) Concave downward for -2 < x < 1(f) f'(-3) = f'(-1) = f'(2) = 0(g) Inflection point at (-2, 0) and (1, 1)

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Mathematics

Write the first six terms of the geometric sequence with first term, a1, and common ratio, r.a1 = , r = 

A. , 2
B.
C. , 2, 
D.

Mathematics

Use the given trigonometric function value of ? to find the requested trigonometric function value of the acute angle ?. Rationalize the denominators where necessary.sin ? = Find tan ?.

A.
B. 2
C.
D.

Mathematics

Evaluate.

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Mathematics