Write an equation for the parabola.

A. y2 = -12x
B. x2 = -12y
C. x2 = 12y
D. y2 = 12x

Answer: C

Mathematics

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Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere  and on the sides by the cylinder . Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration .

A. + 
B. + 
C. + 
D. + 

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Solve. Write your answer in simplest form.A nail 3 inches long is driven into a board 2 inches thick. How much of the nail protrudes from the other side of the board?

A. 2 inches
B.  inch
C.  inch
D. 1 inches

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Determine if each ordered pair is a solution to the given system of inequalities in two variables.y = x + 4y2 = 16x(i) (4, 8); (ii) (-4, 0)

A. (i) Yes; (ii) No B. (i) No; (ii) No C. (i) No; (ii) Yes D. (i) Yes; (ii) Yes

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Find the derivative of y with respect to the independent variable.y = 5ln 6t

A.
B. 5ln 6t
C. 5ln 6t
D. 5ln 6t

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Mathematics