In the figure below, the region enclosed by the curves y = -  , y = -x, and y = -x + 3 is shown. Set up an integral or sum of integrals to find the area of the shaded region. (Do not calculate the area.)

A.  +  + 
B.
C.
D.
E. none of these


Answer: A

Mathematics

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Plot the point whose polar coordinates are given.

A.

B.

C.

D.

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Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.x3 + 4x2 - x - 4 > 0  

A. (-?, - 1) ? (1, 4)

B. (- 4, -1) ? (1, ?)

C. (-?, - 4) ? (-1, 1)

D. (-1, 1) ? (4, ?)

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Use a graphing utility to graph the function and then answer the question.The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches:  What rainfall produces the maximum number of mosquitoes?

A. 0 in. B. 2 in. C. 4 in. D. 16 in.

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Find the product.(3x + 10y)2

A. 3x2 + 60xy + 100y2 B. 9x2 + 60xy + 100y2 C. 3x2 + 100y2 D. 9x2 + 100y2

Mathematics