Solve the problem.A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. How far from the vertex is the focus? Round answer to two decimal places.
A. 0.26 ft
B. 0.21 ft
C. 0.52 ft
D. 0.90 ft
Answer: D
Mathematics
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Find the inverse of the function.f(x) = 
A. f-1(x) = x2 + 5, x ? 0
B. f-1(x) = (x - 5)2 , x ? 0
C. f-1(x) = 
D. f-1(x) = (x + 5)2 , x ? 0
Mathematics
For what values of x does the series converge conditionally?
A. x = - 1
B. x = -5
C. x = - 
D. None
Mathematics
Solve the problem.Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.a = 10 cos 2t, v(0) = -9, s(0) = 13
A. s = 
cos 2t + 9t + 13
B. s = - 
sin 2t - 9t + 13
C. s = - 
cos 2t - 9t + 13
D. s = 
sin 2t - 9t + 13
Mathematics
Factor by grouping.5a3 - 15a2 + 9a - 27
A. (5a2 - 3)(a + 9) B. (5a2 + 9)(a - 3) C. (5a2 + 1)(9a - 3) D. (5a + 9)(a2 - 3)
Mathematics