Provide an appropriate response.If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y = 5?
A. -9
B. 9
C. 3
D. -3
Answer: B
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Find the length of the curve.x = 6 cos t, y = 6 sin t, 0 ? t ? ?
A. 12? B. 36? C. 6? D. ?
Solve the differential equation subject to the initial conditions.x
+ y = cos x; x > 0; x = ? when y = 1
A. y = 
, x > 0
B. y = 
, x > 0
C. y = 
, x > 0
D. y = 
, x > 0
Solve the problem.Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The total income from the 5% and 6% investments is equal to the income from the 8% investment. Find the amount invested at each rate.
A. $8000 at 5%, $10,000 at 6%, $7000 at 8% B. $10,000 at 5%, $10,000 at 6%, $5000 at 8% C. $5000 at 5%, $10,000 at 6%, $10,000 at 8% D. $10,000 at 5%, $5000 at 6%, $10,000 at 8%
Graph the solution set of the system of inequalities or indicate that the system has no solution.x + 2y ? 2 x - y ? 0
A. 
B. 
C. 
D. 