Find an equation for the ellipse described.Vertices at (-6, 2) and (14, 2); focus at (12, 2)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
- 
= 1
D. 
+ 
= 1
Answer: A
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Solve the initial value problem.Differential Equation: 
= 
(t + 2)5/2i + etjInitial Condition: r(0) = 0
A. r(t) = [(t + 2)7/2 - 27/2]i + (et - 1)j B. r(t) = [(t + 2)9/2 - 29/2]i + (et - 1)j C. r(t) = [(t + 2)7/2 + 27/2]i + (et + 1)j D. r(t) = (t + 2)7/2i + etj
Solve the problem.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). 
Determine the winner using the plurality method and if the winner received a majority of first place votes.
A. Clark; Yes B. Jones; No C. Clark; No D. Smith; Yes
Solve the problem.Three trains - one eastbound, one westbound, and one northbound - leave a city at the same time. The speed of the northbound train is 10 miles per hour greater than the speed of the eastbound train. After 8 hours, the distance between the westbound train and the eastbound train is 560 miles. Twice the speed of the westbound train is 40 miles per hour more than the speed of the northbound train. Find the speeds of the three trains.
A. eastbound, 30 mph; westbound, 40 mph; northbound, 40 mph B. eastbound, 20 mph; westbound, 50 mph; northbound, 40 mph C. eastbound, 40 mph; westbound, 40 mph; northbound, 30 mph D. eastbound, 40 mph; westbound, 40 mph; northbound, 50 mph
Factor. Assume that variables used as exponents represent positive integers.7x2n + 9xn - 10
A. (xn - 2)(7xn + 5) B. (xn - 5)(7xn + 2) C. (xn + 2)(7xn - 5) D. prime polynomial