Solve.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 3 m down from the top of the dome the ceiling is 15 m wide, find the best location for the light source.
A. 9.4 m down from the top
B. 18.8 m down from the top
C. 4.7 m down from the top
D. 14.1 m down from the top
Answer: C
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, using the indicated point in the kth subinterval for ck.f(x) = x2 - 3, [0, 8], left-hand endpoint
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B. 
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D. 
Write the rational expression in lowest terms.
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B. 
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Solve the problem.The torque T on the arm of a robotic control mechanism varies directly as the cube of the diameter d of the arm. If T = 1043 lb ? in. for d = 0.99 in., find the expression for the instantaneous rate of change of T with respect to d.
A. 1075d2 lb ? in. /in. B. 3225d3 lb ? in. /in. C. 1075d3 lb ? in. /in. D. 3225d2 lb ? in. /in.
Graph the two functions on one coordinate plane.f(x) = x3g(x) = (x + 6)3 + 7
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B. 
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D. 