Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(4(cos 30° + i sin 30°))3

A. 64i
B. -64
C. -64i
D. 64


Answer: A

Mathematics

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For the given rectangular equation, write an equivalent polar equation.x2 + y2 - 4x = 0

A. r sin2? = 4 cos ? B. r = 4 sin ? C. r cos2? = 4 sin ? D. r = 4 cos ?

Mathematics

Solve the problem.Maxwell's theory of electromagnetic waves established that electromagnetism moved through space in waves. Under certain conditions, an equation that Maxwell used to explain the motion of such waves would take the form  where ? is the angle of incidence of the original wave, ? is the angle of incidence of the wave when reflected, A is the amplitude of the original wave, and B is the amplitude of the wave when reflected. Find the value of  when -4.0px;" /> and  Round to four decimal places.

A. -0.4789
B. 0.3492
C. -0.3872
D. 0.1661

Mathematics

Use the quadratic formula to find any x-intercepts on the graph of the equation.y = 2x2 + 8x + 5

A.  
B.
C.  
D.  

Mathematics

Use a special product formula to simplify.(6w + 11m)(11m - 6w)

A. 121m2 - 132mw - 36w2 B. 121m2 - 36w2 C. 121m2 + 132mw - 36w2 D. 11m2 - 6w2

Mathematics