Suppose n(U) = 200, n(A) = 80, n(B) = 65, n(C) = 90, n(A ? B) = 48, n(A ? C) = 62, n(B ? C) = 45, and n(A' ? B' ? C') = 80.Find n(A ? B ? C).
A. 120
B. 40
C. 20
D. impossible to determine
Answer: C
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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 
Use units to help you answer the question. If necessary, round your answer to two decimal places.Suppose you could spend $7 every hour, night and day. How much could you spend in a year? (Assume that there are 365 days in a year.)
A. $8760 B. $61,320 C. $10,080 D. $3,679,200
Construct a truth table for the statement.(p ? q) ? (~p ? q)
A. 
| T | T | T |
F T T
F F F
B.
| T | T | F |
F T F
F F F
C.
| T | T | T |
F T T
F F T
D.
| T | T | T |
F T T
F F T
Find an equation for the line tangent to the curve at the point defined by the given value of t.x = 4 sin t, y = 4 cos t, t = 
A. y = x - 4
B. y = 4x + 4
C. y = - x + 4
D. y = 4
x + 1