Perform the indicated operation and simplify. Write the answer in the form a + bi.(2 - 4i)(4 + 3i)

A. -12i2 - 10i + 8
B. -4 - 22i
C. 20 - 10i
D. 20 + 10i


Answer: C

Mathematics

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Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 4x2 + 9y2; R = {(x, y): 0 ? x ? 1, 0 ? y ? 1}

A.
B.
C.
D.

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Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.The first marble is blue and the second marble is blue.

A.
B.
C.
D. 0 

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Use a graphing utility to obtain the plane curve represented by the given parametric equations.Cycloid: x = 3(t - sin t), y= 3(1 - cos t), 0 ? t ? 6?

A.

B.

C.

D.

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Write a system of inequalities whose solution set is the region shown.

A. x2 + y2 ? 16 y ? 0 B. x2 + y2 ? 16 x ? 0 C. x2 + y2 ? 16 x ? 0 D. x2 + y2 ? 16 x ? 0

Mathematics