Solve the problem.A field microphone used at a soccer game has a parabolic cross section and is 20 inches wide at the opening. The focus is 25 inches from the vertex. Find the depth of the microphone.
A. 0.44 in.
B. 4.00 in.
C. 16.00 in.
D. 1.00 in.
Answer: D
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Solve the given equation by completing the square.z2 + 12z + 24 = 0
A. 
B. 
C. 
D. 
Solve the given differential equation. (The form of yp is given.)D2y - 4y = e-2x (Let yp = Axe-2x.)
A. y = c1e-2x + c2e2x + 
xe-2x
B. y = c1e-2x + c2e2x - 
xe2x
C. y = c1e-2x + c2e2x - 
xe-2x
D. y = c1e-2x + c2e2x - 
xe-2x
Solve the differential equation subject to the initial conditions.x2
- 3xy = x5 sec x tan x; x > 0; x = ? when y = 0
A. y = - 
- x2 , x > 0
B. y = 
+ x2 , x > 0
C. y = 
+ x3 , x > 0
D. y = - 
- x3 , x > 0
Solve the problem.In a raffle, one thousand tickets are sold. There is a grand prize of $6000, a second prize of $400, and a third prize of $100. What ticket price would make this game fair?
A. $6.64 B. $6.50 C. $6.59 D. $6.23