Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1e5x + c2xe5x
A. D2y - 10Dy + 25y = 0
B. D2y - 10Dy - 25y = 0
C. D2y - 5Dy + 25y = 0
D. D2y + 10Dy + 25y = 0
Answer: A
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Sketch the graph and show all local extrema and inflection points.y = |x2 - 5x|
A. Local minima: (0, 0), (5, 0)
Local maximum: 
No inflection points
B. Local maximum: 
Inflection points: (0, 0), (5, 0)
C. Local minima: (0, 0), (5, 0)
Local maximum: 
Inflection points: (0, 0), (5, 0)
D. Local minimum: 
No inflection points
Solve the problem.The demand for tickets at a concert hall can be approximated by 
where p is the price (in dollars) and q is the quantity demanded. Use implicit differentiation to find and interpret 
when 
A. 
= -4 means that if the price is increased by $1, the quantity demanded decreases by approximately 4 tickets.
B. 
= - 
means that if the price is increased by $1, the quantity demanded decreases by approximately 
tickets.
C. 
= -4 means that if the price is decreased by $4, the quantity demanded increases by 1 ticket.
D. 
= - 
means that if the price is decreased by $0.25, the quantity demanded increases by 1 ticket.
Solve the problem.In a recent school board election, the two candidates for president received 1174 votes. The loser received 610 fewer votes than the winner. How many votes did the winner receive?
A. 751 votes B. 564 votes C. 892 votes D. 282 votes
Solve the problem.Among 170 households surveyed, 60 have a video camera, 46 have a snapshot camera, 29 have binoculars, 9 have a video camera and a snapshot camera, 8 have a snapshot camera and binoculars, and 4 have all three products. What is the probability that a household will have a snapshot camera or binoculars? Express the answer as a fraction.
A. 
B. 
C. 
D. 