Find the focus and directrix of the parabola.- x2 = y

A. (0, -6); y = 6
B. (-12, 0); x = 6
C. (0, 6); y = -6
D. (0, -6); y = -6


Answer: A

Mathematics

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Find the length of the curve.The line segment r = 3 sec ?, 0 ? ? ? 

A. ( + ln( + 1))
B. 3
C. 3 ln
D.

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The outside wall of a house is 11 feet high.  From the western wall, the roof rises 6 feet over a horizontal span of 24 feet and then descends at the same rate over another horizontal span of 24 feet to the eastern wall of the house.  For this problem, take the origin to be at the base of the west wall, and  take west-to-east to be the  positive direction. ? ? A:  Find a formula that describes the ascending part of the roof. Use d for the horizontal distance east of the west wall and H for the height above the ground, both in feet. ? B: Find a formula that describes the descending part of the roof. ? C: Find a formula for a piecewise-defined function that describes the entire roof line. ?

What will be an ideal response?

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Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.log 3 (x + 6) + log 3 (x - 6) - log 3 x = 2

A. {-3} B. {12} C. {12, -3} D. ?

Mathematics

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.-3 (multiplicity 1) and -2 (multiplicity 3)

A. f = x4 + 9x3 + 30x2 - 44x + 24
B. f = x4 + 9x3 + 30x2 + 44x + 24
C. f = x4 - 9x3 + 30x2 + 44x + 24
D. f = x4 + 9x3 + 30x2 + 44x - 24

Mathematics