Find all complex roots. Write the answer in polar form, with 0 ? ? ? 360°.Cube roots of -8
A. 2(cos 60° + i sin 60°), 2(cos 0° + i sin 0°)
B. 2(cos 30° + i sin 30°), 2(cos 150° + i sin 150°), 2(cos 270° + i sin 270°)
C. 2(cos 120° + i sin 120°), 2(cos 180° + i sin 180°), 2(cos 300° + i sin 300°)
D. 2(cos 60° + i sin 60°), 2(cos 180° + i sin 180°), 2(cos 300° + i sin 300°)
Answer: D
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Solve the problem.A water tank is formed by revolving the curve y = 2x4 about the y-axis. Find the volume of water in the tank as a function of the water depth, y.
A. V(y) = y3/2
B. V(y) = y3/2
C. V(y) = y1/2
D. V(y) = y9
Match f(x) with its graph without using a calculator.f(x) =
A.
B.
C.
D.
A student needs to have 4 exams in 13 days. In how many ways can this be done if it is known that one of the exams will be taken in the last day?
a. 5,280 b. 17,160 c. 259,459,200 d. 57,120
Solve the equation.log (x + 5) = log (5x + 1)
A.
B.
C.
D.