Parametrize the surface S.S is the portion of the cylinder x2 + y2 = 9 that lies between z = 5 and z = 6.
What will be an ideal response?
Answers will vary. One possibility is r = 3 cos ?i + 3 sin ?j + zk , 5 ? z ? 6, 0 ? ? ? 2?
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Find the number of subsets of the set.{1, 2, 3, . . . , 8}
A. 16 B. 512 C. 256 D. 252
Solve the problem.Jerry builds rocking chairs and porch swings and sells them a a local flea market. The lumber requirements for each type of item are summarized in the table below. 
Currently, Jerry has 200 2×4's, 55 2×6's, and 200 1×4's in stock. Rocking chairs sell for $50 and porch swings sell for $115. How many pieces of each type of lumber are left over after Jerry has built the number of chairs and swings that maximize his revenue?
A. 0 2×4's, 0 2×6's, and 10 1×4's. B. 10 2×4's, 0 2×6's, and 4 1×4's. C. 4 2×4's, 0 2×6's, and 10 1×4's. D. 10 2×4's, 0 2×6's, and 0 1×4's.
Use the graph, along with the indicated points, to give the solution set of the equation or inequality.In the graph below y1 = -2
and y2 = -4.Use the graph to solve -2
? -4
A. (-?, 1) ? (5, ?) B. (1, 5) C. [1, 5] D. (-?, 1] ? [5, ?)
Solve the absolute value inequality. Write your answer in interval notation.
? 8
A. (-57, 71) B. (-?, -71] ? [-57, ?) C. [-57, 71] D. (-?, -57] ? [71, ?)