Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: 3xy' + 3y = cos xInitial condition: y(?) = 0Solution candidate: y = 
A. No
B. Yes
Answer: B
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Find the requested probability.A box contains the following mixture of colored marbles: 2 black, 3 red, 5 yellow, and 2 green. If two marbles are drawn, the second being drawn after the first is replaced, then what is the probability that both are black?
A. 
B. 
C. 
D. 
Solve.The price of commodities, like pork bellies, is determined by supply and demand. Thus, the price of pork bellies is a function of the number of pounds of pork bellies produced. The price of a pound of pork bellies can be estimated by the function f(Q) = - 0.000003Q + 0.85, 10,000 ? Q ? 80,000where f(Q) is the price of a pound of pork bellies and Q is the annual number of pounds of pork bellies produced.i) Construct a graph showing the relationship between the number of pounds of pork bellies produced and the price of a pound of pork bellies.ii) Estimate the cost of a pound of pork bellies if 70,000 pounds of pork bellies are produced in a given year.
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A. i)
ii) $0.64 per pound
B.
| i) |
ii) $1.06 per pound
C. i)
ii) $1.06 per pound
D. i)
ii) $0.64 per pound
Find the domain of the composite function f?g.f(x) = 
, g(x) = x + 6
A. (-?, -10) ? (-10, ?) B. (-?, ?) C. (-?, -10) ? (-10, -6) ? (-6, ?) D. (-?, -16) ? (-16, ?)
Use the square root property to solve the equation.(x - 3)2 = 4
A. -1 B. 1, 5 C. -1, -5 D. 5