Compute the definite integral as the limit of Riemann sums.
, a < b
A. y2 - x2
B. 64
C. 16(y - x)
D. 4
Answer: D
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Find the principal unit normal vector N for the curve r(t).r(t) = (4 sin t)i + (4 cos t)j + 8k
A. N = (-cos t)i - (sin t)j B. N = (sin t)i + (cos t)j C. N = (-sin t)i - (cos t)j D. N = (-sin t)i + (cos t)j
Solve the problem.A power plant is located on a river that is 650 feet wide. To lay a new cable from the plant to a location in a city 1 mile downstream on the opposite side costs $225 per foot across the river and $150 per foot along the land. Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the 
A. C(x) = 225
+ 150(5280 - x)
B. C(x) = 225(650 - x) + 150(1 - x)
C. C(x) = 225
+ 150(1 - x)
D. C(x) = 150
+ 225(5280 - x)
Solve.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 3 m down from the top of the dome the ceiling is 15 m wide, find the best location for the light source.
A. 9.4 m down from the top B. 18.8 m down from the top C. 4.7 m down from the top D. 14.1 m down from the top
Multiply. Write the answer in simplest form.
? 
A. 
B. 
C. - 
D. - 