DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is , which can be expressed as .

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Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below.

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A.
B.
C.
D.
E.


Answer: E

Mathematics

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Simplify the expression. Write the answer using positive exponents.

A.
B. 4r-5
C. 4r5
D. 4

Mathematics

Calculate the derivative of the function. Then find the value of the derivative as specified.t = -1 if s = t2 - t

A.  = 2t + 1; t = -1
 = -1
B.  = 2t - 1; t = -1
 = -3
C.  = t - 1; t = -1
 = -2
D.  = 2 - t; t = -1
 = 3

Mathematics

Make the indicated conversion.Convert 1100110010100two to hexadecimal.

A. 331116 B. 199416 C. 1462416 D. 14A2416

Mathematics

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation.x ? 3 and x ? -2

A. ?
B. (-2, 3)

C. [-2, 3]

D. (-?, -2] ? [3, ?)

Mathematics