Solve the problem.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 10 m down from the top of the dome the ceiling is 30 m wide, find the best location for the light source.

A. 16.8 m down from the top
B. 11.2 m down from the top
C. 22.5 m down from the top
D. 5.6 m down from the top


Answer: D

Mathematics

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Evaluate the integral.

A. -4i - j + 40k
B. -4i - j - 40k
C. -4i + j + 40k
D. +4i + j + 40k

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Factor the trinomial.10y2 - 23y + 12

A. (10y + 3)(y + 4) B. (2y + 3)(5y + 4) C. (2y - 3)(5y - 4) D. Cannot be factored

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Use power series operations to find the Taylor series at x = 0 for the given function.

A.
B.
C.
D.

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Use Euler's formula to answer the question.A polyhedron has 13 vertices and 28 edges. How many faces does it have?

A. 11 B. 17 C. 41 D. 13

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