Determine the coordinates of the vertex by completing the square.f(x) = x2 + 8x

A. (-4, -16)
B. (16, -4)
C. (-16, 4)
D. (4, -16)


Answer: A

Mathematics

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Use a calculator to approximate the area of the surface generated when the given curve is revolved about the x-axis. Round to two decimal places when necessary.y = x4  on [0, 1]

A. 0.23 B. 3.44 C. 1.47 D. 0.55

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Let U = {1, 2, 4, 5, a, b, c, d, e}. Find the complement of the set.T = U

A. T B. {U - T'} C. ? D. U

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Calculate the circulation of the field F around the closed curve C.F = x2y3i + x2y3j; curve C is the counterclockwise path around the rectangle with vertices at   , and 

A. 108 B. 153 C. 9 D. 0

Mathematics

Solve the problem.If f(?) = sin ? and f(a) = - , find the exact value of f(a) + f(a - 4?) + f(a - 2?).

Fill in the blank(s) with the appropriate word(s).

Mathematics