Solve.The width of a rectangle is 6 kilometers less than twice its length. If its area is 80 square kilometers, find the dimensions of the rectangle.
A. length = 5 km, width = 4 km
B. length = 3 km, width = 
km
C. width = 8 km, length = 10 km
D. length = 8 km, width = 10 km
Answer: D
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Solve the problem.Derive a series for ln(1 + x2) for x > 1 by first finding the series for 
and then integrating. (Hint: 
)
A. 2 ln x + 
B. ln x + 
C. ln x + 
D. 2 ln x + 
Evaluate the line integral of f(x,y) along the curve C.f(x, y) = y2 + x2, C: the perimeter of the circle x2 + y2 = 9
A. 54? B. 18? C. 6? D. 27?
Solve the problem.Under standard conditions, molecules of a gas collide billions of times per second. If each molecule has diameter t, the average distance between collisions is given by 
where n, the volume density of the gas, is a constant. Find 
.
A. 
= - 
B. 
= - 
C. 
= 
D. 
= - 
Solve the problem.Find the image of the given figure under the translation that takes P to P'.
A. 
B. 
C. 
D. 