Determine the given complex number raised to a power and write the answer in rectangular form.(cos 30° + i sin 30°)12

A. -1
B. i
C. 1
D. -i


Answer: C

Mathematics

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Find the average value of the function f over the given region.f(x, y) = 6x + 2y over the triangle with vertices , and 

A.
B. 20
C. 17
D. 14

Mathematics

Provide an appropriate response.A radial line is drawn from the origin to the spiral of Archimedes r = a?, 0 ? ?, a > 0. Find the area swept out during the second revolution of the radial line that was not swept out during the during the first revolution. In other words, find the area between the first and second turns of the spiral.

What will be an ideal response?

Mathematics

Use similar figures to determine the value of X .

A. 39 cm B. 78 cm C. 26 cm D. 117 cm

Mathematics

Use the graph of f to sketch a graph of the inverse of f using a dashed curve.

A.

B.

C.

D.

Mathematics