Solve the problem.If f(x, y) = (4000ey)/(1 + 
/2) represents the population density of a planar region on Earth, where x and y are measured in miles, find the number of people within the rectangle -9 ? x ? 9 and -2 ? y ? 0.
A. 8000(1 - e-2) ln 5 ? 16,587
B. 4000(1 - e-2) ln 
? 5896
C. 8000(1 - e-2) ln 
? 11,792
D. 16,000(1 - e-2) ln 
? 23,585
Answer: D
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Find the product.
A.
[-84 -11]
B. 
C. 
D. 
Express the given function as a composite of functions f and g such that y = f(g(x)).y = 
A. f(x) = 
, g(x) = x2 - 9
B. f(x) = 
, g(x) = - 
C. f(x) = 
, g(x) = x2 - 9
D. f(x) = 
, g(x) = x - 9
You want a linearization that will replace the function over an interval that includes the point x0. To make your subsequent work as simple as possible, you want to center the linearization not at x0 but at a nearby integer x = a at which the function and its derivative are easy to evaluate. What linearization do you use?f(x) = 
, x0 = 8.9
A. 
+ 
x
B. 
+ 
x
C. 
+ 
x
D. 
- 
x
What part of the set of objects is shaded?
A. 
B. 
C. 
D. 