Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(3(cos 90° + i sin 90°))5

A. 0
B. -243i
C. 243i
D. 15i


Answer: C

Mathematics

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Evaluate the integral.

A. e7/6
B. ln 
C.  ln 
D.  ln 

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Solve the problem.The monthly cost of a certain texting plan is modeled by the formula  where C is in dollars and n is the number of texts sent in a month. Use the model to find and interpret the result when.

A. When n = 180, C = 29.35; It costs $29.35 to send 180 texts in a month using a certain texting plan. B. When n = 180, C = 30.35; It costs $30.35 to send 180 texts in a month using a certain texting plan. C. When n = 180, C = 14.40; It costs $14.40 to send 180 texts in a month using a certain texting plan. D. When n = 180, C = 33.95; It costs $33.95 to send 180 texts in a month using a certain texting plan.

Mathematics

Find the specified quantity.Find the period of y = -5 sin .

A. ?
B.
C. 5
D. 8

Mathematics

Approximate the natural logarithm with a scientific calculator. Round to four decimal places.ln 0.00041

A. 3.3872 B. -3.3872 C. 7.7994 D. -7.7994

Mathematics