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 7 m down from the top of the dome the ceiling is 8 m wide, find the best location for the light source.
A. 2.3 m down from the top
B. 1.8 m down from the top
C. 1.2 m down from the top
D. 0.6 m down from the top
Answer: D
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Find the first four nonzero terms in the Maclaurin series for the function.f(x) = e5x 
A. 1 + 
x + 
x2 + 
x3 + . . .
B. 1 - 
x + 
x2 - 
x3 + . . .
C. 2 + 
x + 
x2 + 
x3 + . . .
D. 1 + 
x + 
x2 + 
x3 + . . .
Provide an appropriate response.Factor completely: 4x2 - 15x + 9
A. (4x - 9)(x - 1) B. (4x - 3)(x - 3) C. (2x - 3)2 D. (2x - 9)(2x + 1)
For the functions f(x) and g(x), determine the domain of (f - g)(x) (the difference of f and g).f(x) = 
, g(x) = 
A. {x ? x is a real number and x ? -8 and x ? 8} B. {x ? x is a real number and x ? 0} C. {x ? x is a real number} D. {x ? x is a real number and x ? 8 and x ? -8}
Solve the equation.
+ 10y + 12 = 4(2y - 4) - 6
A. y = 
B. y = 
C. y = 15
D. y = 4