Solve the problem.A number is 72 less than its square. Find all such numbers.
A. -8 and 8
B. -9 and 8
C. -8 and 9
D. -9 and 9
Answer: C
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Identify the type of surface represented by the given equation.
+ 
- 
= 1
A. Hyperboloid of two sheets B. Hyperboloid of one sheet C. Elliptical cone D. Ellipsoid
Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 9x2 - 5y2
A. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: ellipses 
B. Domain: all points in the xy-plane; range: all real numbers; level curves: hyperbolas 
C. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: hyperbolas 
D. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses 
Solve the problem.Find any local extrema (maxima, minima, or saddle points) of 
given that 
and 
A. Local minimum at 
B. Local maximum at 
C. Saddle point at 
D. Saddle point at 
Solve.Find the eccentricity of an ellipse whose vertices are (0, -54) and (0, 54) and whose foci are (0, -34) and 
Fill in the blank(s) with the appropriate word(s).