Solve the problem.A nuclear cooling tower cross section is a hyperbola having a diameter of 60 ft at the center. The distance between the two foci is 90 ft. What is the equation for the hyperbola?

A.  -  = 1
B.  -  = 1
C.  -  = 5
D.  -  = 1


Answer: D

Mathematics

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For the given functions f and g, find the requested composite function value.f(x) = 4x + 6, g(x) = 2x2 + 1;Find (f ? f)(4).

A. 2179 B. 969 C. 94 D. 138

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Find the focus and directrix of the parabola with the given equation.y2 = 24x

A. focus: (6, 0) directrix: x = -6 B. focus: (6, 0) directrix: x = 6 C. focus: (0, -6) directrix: y = -6 D. focus: (0, 6) directrix: y = -6

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Evaluate using a table of integration formulas.

A.   -  + C
B.   +  + C
C. xe2x -  + C
D.   -  + C

Mathematics

Find a parametric representation for the part of the elliptic paraboloid x² + y² + 8z² = 9 that lies in front of the plane x = 0. Select the correct answer.

Mathematics