Find the nth term {an} of the geometric sequence. When given, r is the common ratio.3, 1, , , , ...

A. an = 3 ? n-1
B. an = 3 ? n-1
C. an = 3 ? n + 1
D. an = 3 ? n

Answer: B

Mathematics

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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 7, u '(2) = 4, v(2) = -1, v '(2) = -4.  at x = 2

A.
B. 24
C. - 24
D. - 32

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Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = x6 sin x

A.
B.
C.
D.

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Find the largest open interval where the function is changing as requested.Increasing y = 7x - 5

A. (-?, ?) B. (-5, 7) C. (-5, ?) D. (-?, 7)

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Find the area of a sector of a circle having radius r and central angle ?. If necessary, express the answer to the nearest tenth.r = 47.2 cm, ? =  radians

A. 318.1 cm2 B. 101.3 cm2 C. 6.7 cm2 D. 636.2 cm2

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Mathematics