Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form.(4(cos 45° + i sin 45°))5
A. -724.077 - 724.077i
B. -2.828 - 2.828i
C. -724.077 + 724.077i
D. -2.828 + 2.828i
Answer: A
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Use the appropriate addition formula to find the exact value of the expression.sin 
A. 
B. - 
C. 
D. 
Find the volume of the figure. (Use ? ? 3.14 and round as directed in parentheses.)
A. 1500 in.3 B. 1300 in.3 C. 1400 in.3 D. 1200 in.3
Write out the first five terms of the sequence for n = 1, 2, 3, 4, and 5.an = 4n
A. 16, 64, 256, 1024, 4096 B. 1, 16, 81, 256, 625 C. 1, 4, 16, 64, 256 D. 4, 16, 64, 256, 1024
Solve.A comet has an orbit that is hyperbolic in shape with Mars as the focus of the hyperbola. The comet heads towards Mars, comes within 280 million miles of Mars, but then veers off as shown in the picture. As it travels into the distance, it moves closer and closer to the line y = 5x. Find the equation that describes the path of the comet. 
A. The equation is 
- 
= 1, where x and y are measured in millions of miles.
B. The equation is 
- 
= 1, where x and y are measured in millions of miles.
C. The equation is 
- 
= 1, where x and y are measured in millions of miles.
D. The equation is 
- 
= 1, where x and y are measured in millions of miles.