Determine convergence or divergence of the alternating series.

A. Converges
B. Diverges


Answer: A

Mathematics

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Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.g(t) =  - t2 + 8t, 0 ? t < ?

A. local and absolute minimum: -  at x = 8; local maximum:  at x =1
B. local minimum:  at x =1; local and absolute maximum: -  at x = 8
C. local minimum:  at x =1; local maximum: 0 at x = 0; absolute maximum: -  at x = 8
D. local minimum: 0 at x = 0; local and absolute minimum: -  at x = 8; local maximum:  at x =1

Mathematics

Solve the problem.A woman borrowed $30,000 at 8% interest compounded annually. If the loan was paid off at the end of 4 years, how much did she pay? Round to the nearest cent.

A. $40,814.67 B. $32,400.00 C. $10,814.67 D. $39,600.00

Mathematics

Provide an appropriate response.Simplify: 5(2x - 6)

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the derivative of the function by using the rules of differentiation. ? ?

A.
B.
C.
D.

Mathematics