Solve the initial value problem.
= 3x-3/4, y(1) = 7
A. y =- 
x-7/4 - 
B. y = 3x1/4 + 4
C. y = 12x1/4 + 84
D. y = 12x1/4 - 5
Answer: D
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Solve the differential equation.y'' + 14y' + 29y = 0
A. y = e-7x(C1 cos 2
x + C2 sin 2
x )
B. y = e7x(C1e 2
x + C2e- 2
x )
C. y = e-7x(C1e 2
x + C2e- 2
x )
D. y = e-2
x(C1e 7x + C2e- 7x )
Solve the problem by integration.Find the volume generated by rotating the area bounded by 
and 
about the 
A. 
? ln 
B. 
? ln 
C. 
? ln 
D. 
? ln 
Identify the domain and the range of the relation from the graph.
A. Domain: [-7, 3] Range: [-6, 4] B. Domain: (-?, 3] Range: (-?, -6] C. Domain: [-6, 4] Range: [-7, 3] D. Domain: [-7, ?) Range: [3, ?)
Solve.Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.
A. P = 0.65x - 25; $34.80 B. P = 0.65x + 25; $84.80 C. P = 0.75x + 25; $94.00 D. P = 0.75x - 25; $44.00