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 
Answer: A
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Solve the right triangle. Express angles in decimal degrees.
B = 37°, b = 44.3
A. A = 53°, a = 58.8, c = 55.5 B. A = 37°, a = 33.4, c = 73.6 C. A = 53°, a = 58.8, c = 73.6 D. A = 37°, a = 33.4, c = 35.4
Identify the system as consistent or inconsistent, and dependent or independent.a - 7 = bb + 8 = a
A. Inconsistent and dependent B. Consistent and independent C. Inconsistent and independent D. Consistent and dependent
Graph the ellipse and locate the foci.
+ 
= 1
A. foci at (
, 0) and (-
, 0)
B. foci at (5, 0) and (-5, 0)
C. foci at (0, 
) and (0, -
)
D. foci at (4, 0) and (-4, 0)
Use synthetic division to decide whether the given number k is a zero of the given polynomial function.k = 
; f(x) = 3x4 + 5x2 + 2
A. Yes B. No