Identify the equation without applying a rotation of axes.4x2 + 5xy + 2y2 + 2x + 3y - 5 = 0
A. hyperbola
B. ellipse
C. parabola
D. not a conic
Answer: B
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Evaluate the integral.
A. 7?
B. 
?
C. 28?
D. 
Convert the equation to the standard form for a hyperbola by completing the square on x and y.4x2 - 16y2 - 16x - 32y - 64 = 0
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Solve the problem.The square of the difference between a number and 4 is 36. Find the number(s).
A. 10, 22 B. 10 C. -2, 10 D. 52
Solve the problem.A container, in the shape of an inverted right circular cone, has a radius of 6 inches at the top and a height of 10 inches. At the instant when the water in the container is 9 inches deep, the surface level is falling at the rate of -1.9 in./s. Find the rate at which water is being drained.
A. -301.69 in.3/s B. -174.05 in.3/s C. -204.13 in.3/s D. -166.21 in.3/s