Find the convergence set for the given power series. Hint: First find a formula for the nth term; then use the Absolute Ratio Test.5x + 10x2 + 15x3 + 20x4 + . . .

A. -1 ? x ? 1
B. -1 < x < 1
C. <-a> < x ?
D. All x


Answer: B

Mathematics

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Let f be an exponential function of the form f(x) = bx. Answer the following. Find b for which the graph of f passes through (-3, 8).

A.
B.
C. -2
D. - 

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Perform the indicated operations.(x3 + 5xy - 7y2) - (8x3 + 7xy + y2)

A. 9x3 - 2xy - 8y2 B. -7x3 - 2xy - 6y2 C. 7x3 + 2xy - 6y2 D. -7x3 - 2xy - 8y2

Mathematics