Provide an appropriate response.Find all complex cube roots of z = 8i. Write each root in rectangular form.

A. 2i,  - i, -  - i
B. -2i, -  - i,  - i
C. -2i,  + i, -  + i
D. 2i,  + i, -  + i


Answer: C

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).r(t) = (5t sin t + 5 cos t)i  + (5 t cos t - 5 sin t)j ; -1 ? t ? 4

A. 75 B. 37.5 C. 42.5 D. 85

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Solve the problem.An airplane is flying in the direction 11° east of south at 614 km/hr. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north.

A.
B.
C.
D.

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Provide an appropriate response.Subtract: 3,058 - 1,437

A. 4,495 B. 1,621 C. 2,621 D. 1,495 E. none of the above

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Write the product as a sum or difference containing only sines or cosines.cos(6?) cos(5?)

A. cos2(30?2)
B. [cos(11?) - sin ?]
C. [ cos ? + cos(11?)]
D. [cos(11?) - cos ?]

Mathematics