Solve the problem.Let u = ln a and v = ln b. Write the following expression in terms of u and v without using the function ln.ln (b2
)
A. 2v - 
B. 2v + 
C. 2v + 5u
D. 2v + 
Answer: D
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Integrate the function f over the given region.f(x, y) = e2x + 3y over the rectangle 0 ? x ? 1, 0 ? y ? 1
A. 
(e5 - e3 - e2 + 1)
B. 
(e5 - e3 - e2 - 1)
C. 
(e5 - e3 - e2 + 1)
D. 
(e5 - e3 - e2 - 1)
Use the two steps for solving a linear programming problem to solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $40 and on an SST ring is $35?
A. 18 VIP and 6 SST B. 16 VIP and 8 SST C. 14 VIP and 10 SST D. 12 VIP and 12 SST
Identify the conic that the polar equation represents. Also, give the position of the directrix.r = 
A. ellipse, directrix parallel to the polar axis 1 below the pole B. ellipse, directrix perpendicular to the polar axis 1 left of the pole C. ellipse, directrix parallel to the polar axis 1 above the pole D. ellipse, directrix perpendicular to the polar axis 1 right of the pole
Add the numbers.
A. 4545 B. 4356 C. 4456 D. 4347