The cumulative number F of flu cases reported after t weeks is modeled by the function
.
For what value of t is the epidemic spreading most rapidly? Round your answer to two decimal places.
?
A. 
B. 
C. 
D. 
Answer: D
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Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is 
where g = 32 feet per second per second is the acceleration due to gravity and a > 0 is the drag coefficient. This equation can be solved to obtain v(t) = (v0 - v?)e-at + v?, where v0 = v(0) and v? = -g/a = 
v(t), the terminal velocity.This equation, in turn, can be solved to obtain y(t) = y0 + tv? + (1/a)(v0 - v?)(1 - e-at) where y(t) denotes the altitude at time t. Suppose that a ball is thrown straight
up from ground level with an initial velocity v0 and drag coefficient a. Find an expression in terms of v0, g, and a for the time at which the ball reaches its maximum height.
A. t = 
ln 
B. t = 
ln 
C. t = 
ln 
D. t = 
ln 
Provide an appropriate response.Suppose the ratio of the number of hours a coffee shop is opened to the number of daily customers it gets is constant. When it is opened 3 hours, the number of customers is 180 less than the maximum number of customers. When it is opened 11 hours, the number of customers is 20 less than the maximum number of customers. Write an equation describing this situation and find the maximum number of daily customers.
What will be an ideal response?
Solve.
x = - 
A. - 
B. - 
C. 
D. 
Perform the conversion.8.04 meters = _____ hectometer
A. 804 B. 0.804 C. 0.0804 D. 80.4