Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic.5x2 - 7y2 - 10x + 56y - 142 = 0
A. (x - 4)2 + (y - 1)2 = 35; circle
B. (x - 1)2 + (y - 4)2 = 35; circle
C. 
+ 
= 1; ellipse
D. 
- 
= 1; hyperbola
Answer: D
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Solve the problem.Find the equation of the tangent line to the curve 
- 
= 1, at the point 
A. 16x + 
y = 13
B. 16
x - 3y = 7
C. 16x + 3
y = 7
D. 4x - 3
y = 7
Evaluate the integral.
A. ln
+ C
B. -5 ln
+ C
C. - 2 ln
+ C
D. - 
ln
+ C
Solve the problem.The winner of the 1998 Peoria 500 (mile) race was Serge Bologna, with an average rate of 175.786 mi per hr. What was his time (to the nearest thousandth of an hour)?
A. 0.786 hr B. 12.844 hr C. 2.844 hr D. 2.919 hr
Provide an appropriate response.The payoff table for three possible courses of action A1, A2, and A3 is given below.pi?A1xi?A2xi?A3xi?.3$70$40$50.2$100$120$110.1$160$140$90.4$80$140$160Which course of action will produce the largest expected value? What is it?
What will be an ideal response?