Determine whether A = B, A ? B, B ? A, A ? B, B ? A, or if none of these applies.A = {3, 4, 5}B = {2, 3, 4, 5}
A. A ? B
B. A ? B
C. B ? A and B ? A
D. A ? B and A ? B
Answer: D
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Determine if the given polar coordinates represent the same point.(8, ?/6), (-8, 7?/6)
A. No B. Yes
Use the given transformation to evaluate the integral.  FIGURE 1.png)
(x + y) dA, where R is the square with vertices (0, 0), (4, 6), (6, ), (10, 2) and x = 4u + 6v, y = 6u - 4v.
What will be an ideal response?
Write a system of three inequalities that describe the constraints in the problem.An office manager is buying used filing cabinets. Small file cabinets cost $4 each and large file cabinets cost $11 each, and the manager cannot spend more than $57 on file cabinets. A small cabinet takes up 6 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 63 square feet of floor space available for file cabinets. The manager must buy at least 6 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought.
A. 4x + 11y ? 57; 9x + 6y ? 63; x ? 6 B. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6 C. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6 D. 4x + 11y ? 57; 6x + 9y ? 63; y ? 6
Solve the problem.A tree is supported by a rope anchored in the ground and attached to the tree 13 feet above the ground. If the ground is flat and the rope makes a 
with the ground, find the length of the rope to the nearest foot.
A. 22 ft B. 7 ft C. 25 ft D. 15 ft