Match the description with the correct graph.The slope is a large positive number.
A.
B.
C.
D.
Answer: A
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Sketch D and g(D) from the description of D and change of variables x = u cos v, y = u sin v where D is the rectangle 1 ? u ? 2, 0 ? v ?
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A.
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B.
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C.
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D.
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Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x4 - 8x3 + 17x2 + 2x - 24
A. (x - 1)(x - 2)(x - 3)(x - 4); 1, 2, 3, 4 B. (x + 1)(x + 2)(x + 3)(x - 4); -1, -2, -3, 4 C. (x + 1)(x - 2)(x - 3)(x - 4); -1, 2, 3, 4 D. (x - 1)(x + 2)(x + 3)(x + 4); 1, -2, -3, -4
Simplify. If an expression does not represent a real number, state this.
A. not a real number B. 16 C. 8 D. 4
Suppose your newspaper is trying to decide between two competing desktop publishing software packages, Macro Publish and Turbo Publish. You estimate that if you purchase x copies of Macro Publish and y copies of Turbo Publish, your company's daily productivity will be
?
?
where U (x, y) is measured in pages per day (U is called a utility function.) If , by approximately how many pages per day will productivity increase if x is increased by one unit?
?
A. A productivity increase of approximately 7.16 pages per day.
B. A productivity decrease of approximately 81.00 pages per day.
C. A productivity increase of approximately 89.16 pages per day.
D. A productivity increase of approximately 16.32 pages per day.
E. A productivity increase of approximately 8.16 pages per day.