Find the standard equation of a parabola with the given focus or directrix. Assume that the vertex is at the origin.Directrix y = 3?
A. y2 = -12?x
B. x2 = -12?y
C. x2 = -3?y
D. y2 = 4?x
Answer: B
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Solve the problem.A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 
of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.
A. y = 4(50 + t) - 
B. y = 4(50 + t) - 
C. y = 2(100 + t) - 
D. y = 2(100 + t) - 
Decide whether or not the events are commutative.Putting on your left glove and then your right glove.
A. Yes B. No
Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum.f(x,y) = e(x2 + y2)
A. Relative maximum at (0, 1) B. Relative minimum at (0, 1) C. Relative minimum at (0, 0) D. Relative maximum at (0, 0)
Solve the equation.-3x - 9 - 18 = 0
A. 3 B. -9 C. 34 D. 30