Find the sum of the infinite geometric series, if it exists.

A. 156
B. 12
C. -4
D. Does not exist


Answer: D

Mathematics

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Find the Taylor series generated by f at x = a.f(x) = x3 - 3x2 - 2x - 1, a = -2

A. (x + 2)3 - 9(x + 2)2 + 22(x + 2) - 17 B. (x + 2)3 + 9(x + 2)2 + 22(x + 2) + 17 C. (x + 2)3 + 9(x + 2)2 + 26(x + 2) + 17 D. (x + 2)3 - 9(x + 2)2 + 26(x + 2) - 17

Mathematics

The dimensions of two matrices are given. Find the dimensions of the product AB and the product BA. If either is not defined, say so.A is 3 × 3; B is 3 × 3.

A. AB is 3 × 6; BA is 3 × 6. B. AB is 1 × 1; BA is 1 × 1. C. AB is 6 × 3; BA is 6 × 3. D. AB is 3 × 3; BA is 3 × 3.

Mathematics

Match f(x) with its graph.f(x) = 5x - 6

A.

B.

C.

D.

Mathematics

Simplify the expression.1 - 2 sin2 2x

A. cos 8x
B. cos 4x
C. 2 sin 4x
D.  sin 16x

Mathematics