Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is dv/dt = -g - av, 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. Write an equation in
terms of v0, g, and a for T, the time when the ball hits the ground.
A. -gT + 
ln 
= 0
B. -gT + 
(1 - e-aT) = 0
C. -aT + 
(1 - e-aT) = 0
D. -gT + 
(1 - e-aT) = 0
Answer: B
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Use the table to solve the problem.The cost in dollars of driving a certain make and model of car for x miles is given by the function f. A numerical representation of f is given in the following table. 
If the cost is $1.12, how many miles have been driven?
A. 3 miles B. 2 miles C. 4 miles D. 1 miles
Provide an appropriate response.A shipment of 20 digital cameras contains two that are defective. A random sample of three is selected and tested. Let X be the random variable associated with the number of defective cameras in a sample. Find the probability distribution of X and the expected number of defective cameras in a sample.
What will be an ideal response?
Write as a proportion.8.5 is to 8 as 25.5 is to 24.
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Provide an appropriate response.Let A be a 3 × 5 matrix. Write a matrix B such that AB can be found.
What will be an ideal response?