Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = 0.02 and 
when t = 0. Solve the differential equation of y when f(t) = 2t.
A. y = -100t - 5000 + 15,000e-0.02t
B. y = -100t - 5000 + 15,000e0.02t
C. y = 100t - 5000 + 15,000e-0.02t
D. y = 100t + 5000 + 15,000e-0.02t
Answer: B
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The cross-sectional areaC, in square feet, of a river is given by the formula
,
where w is the width of the river and d is the depth. Both of these variables are measured in feet.The flow rate F, in cubic feet per minute, of the river is given by
,
where s is the speed of the river measured in feet per minute. A: Find a formula that gives the flow rate of a river in terms of the variables s, w, and d.B: Use the formula you found in part A to find the flow rate of a river with width 28 feet, a depth of 4 feet, and a speed of 34 feet per minute.
?
What will be an ideal response?
Provide an appropriate response.? ? {? }
A. True B. False
Evaluate.(-1)15
A. 15 B. -15 C. 1 D. -1
Find the degree of the polynomial.-y3 + 4x3 + 2x3y + 6
A. 3 B. 10 C. 6 D. 4