Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola.6x2 + 12xy + 6y2 - 2x + 6y = 0
A. Hyperbola
B. Ellipse or circle
C. Parabola
Answer: C
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Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and 
when t = 0. Solve the differential equation of y when f(t) = 9t.
A. y = -450t - 22,500 + 32,500e-.02t B. y = 450t - 22,500 + 32,500e-.02t C. y = 450t + 22,500 + 32,500e-.02t D. y = -450t - 22,500 + 32,500e.02t
Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 
A. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at 
B. Domain: all points in the xy-plane satisfying x2 + y2 ? 9; range: real numbers 0 ? z ? 3; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 3
C. Domain: all points in the xy-plane satisfying x2 + y2 = 9; range: real numbers 0 ? z ? 3; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 3
D. Domain: all points in the xy-plane; range: real numbers 0 ? z ? 3; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 3
A ball is thrown at an angle of 45° to the ground. If the ball lands 90 m away, what was the initial speed of the ball? Let g= 9.82 m/s.
What will be an ideal response?
Solve the problem.The revenue from the sale of a product is given by R = 1420x - 17x2 - x3. If the sale of 10 units gives a total revenue of $11,500, use synthetic division to find another number of units that will give $11,500 in revenue.
A. 28 units B. 23 units C. 50 units D. 13 units