Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(cos 30° + i sin 30°)24
A. 1
B. -1
C. -i
D. i
Answer: A
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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xyi + y2j - 2yzk ; D: the solid wedge cut from the first quadrant by the plane and the parabolic cylinder x = 9 - 4y2
A.
B.
C.
D.
Answer the question.The numbers ? and ? + ? determine the points A and B, respectively, on the unit circle. How are the points A and B related?
A. A and B are the same point. B. B is the reflection of A through the origin. C. B is the reflection of A about the x-axis. D. B is the reflection of A about the y-axis.
Factor.-50x3 - 30x2 + 8x
A. -2(5x2 - 1)(5x + 4) B. x(5x - 1)(-10x - 8) C. -2x(5x - 1)(5x + 4) D. x(-10x + 2)(5x + 4)
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.A = 11.2°, C = 131.6°, a = 82.3
A. B = 37.2°, b = 26.4, c = 21.5 B. B = 37.2°, b = 316.9, c = 256.2 C. B = 37.2°, b = 256.2, c = 316.9 D. B = 36.8°, b = 253.8, c = 316.9