Find the average value of 
over the given region.
+ z2 over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 4
B. 8
C. 2
D. 12
Answer: A
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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 = .02 and 
when t = 0. Solve the differential equation of y when f(t) = -19t.
A. y = 950t + 47,500 - 37,500e.02t B. y = -950t - 47,500 - 37,500e.02t C. y = 950t + 47,500 - 37,500e-.02t D. y = -950t + 47,500 - 37,500e-.02t
Solve the inequality 
. Restrict your attention to positive values of x. Round your answer to two decimal places.
?
A. 
B. ?
C. ?
D. ?
Answer the question.Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 9 mi, the distance between the cars was 3 mi more than the distance traveled by the car heading east. If the eastbound car traveled x miles, what is the distance between the cars in terms of x?
A. 3x B. x - 3 C. 3 - x D. x + 3
When your first child is born, you begin to save for college by depositing $600 per month in an account paying 6% interest per year. With a continuous stream of investment and continuous compounding, how much will you have accumulated in the account by the time your child enters college 18 years later? Round your answer to the nearest cent. ?
A. $233,361.55 B. $353,361.55 C. $1,166.81 D. $473,361.55 E. $79,248.54