Find the focus and the directrix of the parabola.(y - 6)2 = -12(x + 4)
A. Focus: (-7, 6); directrix: y = -1
B. Focus: (-7, 6); directrix: x = -1
C. Focus: (-1, 6); directrix: x = -7
D. Focus: (-7, 6); directrix: x = -4
Answer: B
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Use logarithmic differentiation to find the derivative of y.y = 
A. 3
B. 
+ 
- 
- 
C. 
(ln(3x + 1) + 2ln(x + 2) - ln(x3 + 5) - ln(x + 7))
D. 
Provide an appropriate response.z varies directly as the square of x and inversely as y. Find z when x = 9, y = 15, and the constant of combined variation is 20.
A. 6.75 B. 240 C. 101.25 D. 108
Solve the problem.Find the future value of a CD paying a 3.5% APR compounded continuously if you invest $4000for a term of five years. Round your answer to the nearest cent.
A. $4764.98 B. $4601.10 C. $4750.75 D. $4705.79 E. $4555.31
Factor completely. If a polynomial cannot be factored, say it is prime.x3 - 512
A. (x + 512)(x + 1)(x - 1) B. (x - 8)(x2 + 64) C. (x + 8)(x2 - 8x + 64) D. (x - 8)(x2 + 8x + 64)