Solve the problem.How many 3-letter codes can be formed with the letters 
if repeated letters are allowed?
A. 512
B. 240
C. 336
D. 56
Answer: A
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Find 
and 
.f(x, y) = sin2 (6xy2 - y)
A. 
= 12y2sin (6xy2 - y) cos (6xy2 - y); 
= 2sin (6xy2 - y) cos (6xy2 - y)
B. 
= 2sin (6xy2 - y) cos (6xy2 - y); 
= (24x - 2) sin (6xy2 - y) cos (6xy2 - y)
C. 
= 2sin (6xy2 - y) cos (6xy2 - y); 
= 2sin(6xy2 - y) cos(6xy2 - y)
D. 
= 12y2sin (6xy2 - y) cos (6xy2 - y); 
= (24xy - 2) sin (6xy2 - y) cos (6xy2 - y)
Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral.
A. Integrate by parts with u = 1-cot x, dv = csc2x dx B. Integrate by parts with u = csc2x, dv = (1 - cot x) dx C. Substitute, letting u = 1-cot x D. Substitute, letting u = csc2x
Find the area of the specified region.Inside the circle r = -4 cos ? and outside the circle r = 2
A. 
(4? - 3
)
B. 
?
C. 
(2? + 3
)
D. 2?
Solve the application problem.The length of a room is 3 feet more than the width. The room has a floor area of 208 square feet. Find the dimensions of the room.
A. Length: 13 ft; Width: 10 ft B. Length: 19 ft; Width: 16 ft C. Length: 17 ft; Width: 14 ft D. Length: 16 ft; Width: 13 ft