Solve the problem.Find the formula for the area of the shaded region and express it in factored form.

A. y2 + 36
B. (y - 6)2
C. (y + 6)(y - 6)
D. (y + 6)2


Answer: C

Mathematics

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Find the value of d2y/dx2 at the point defined by the given value of t.x = csc t, y = 4 cot t, t = 

A. -8
B. 8
C. 4
D. -12

Mathematics

Find an equation for the surface consisting of all points that are equidistant from the point (0,-2,0) and the plane y=2.

What will be an ideal response?

Mathematics

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log2 

A. 3log22 - log2(x - 1)
B. 3 - log2(x - 1)
C. log28 - log2
D. 3 - log2

Mathematics

Find a polynomial of least degree with only real coefficients and having the given zeros.2 + i, 4

A. f(x) = x3 - 8x2 + 21x - 20 B. f(x) = x3 + 8x2 + 21x + 20 C. f(x) = x3 - 4x2 - (3 - 4i) x + 12 + 16i D. f(x) = x3 + 9x2 + 20x + 20

Mathematics