Study Guide 3 F_13

Find the area under the graph of f x x2 5 and above

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Unformatted text preview: s. The total area of the shaded regions is (A) less than 35 (B) between 35 and 40 (C) between 40 and 45 (D) between 45 and 50 (E) more than 50 21. Find the area under the graph of f (x) = −x2 + 5 and above the x-axis from x = −2 to x = 2. The area is (A) less than 4 (B) between 4 and 8 (C) between 8 and 12 (D) between 12 and 16 (E) more than 16 22. Evaluate the definite integral ￿ The definite integral is 5 2 ￿ e − 0 .2 x 1 + x (A) less than 0 dx (B) between 0 and 1 (D) between 2 and 3 ￿ (C) between 1 and 2 (E) more than 3 23. If we use the substitution u = 1 − x, then which of the following is equivalent to ￿1 √ 1 − xdx. −2 (A) − ￿ 1 −2 √ udu (B) ￿ 1 −2 √ udu (C) − ￿ 3 0 √ udu (D) ￿ 3 0 √ udu (E) none of these 24. Evaluate the definite integral ￿ 5 4 3 dx (3x + 2)2 25. A small company of science writers found that its rate of profit (in dollars) after t years of operation is given by the function below. ￿ ￿1 P ￿ (t) = 900(t + 1) t2 + 2t + 2 3...
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This note was uploaded on 01/14/2014 for the course MATH 116 taught by Professor Jess during the Fall '09 term at Arizona.

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