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71 F 07 T2 - SOC Testing SOC Test Problems/requirements...

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1 Math 71 Fall 2007 Test 2 Name: Question 1. (20 points) Compute the following integrals: a. (2 points) 4 x 7 ! 3 x 2 + 1 6 x + 2 3 x " # $ % & ( dx b. (2 points) (x+3) 2x 2 +12x+4 dx c. (2 points) e x - e -x e x + e -x dx
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2 d. (2 points) (x 2 +1) sin x dx e. (3 points 2 10 x 2x 2 +5 dx f. (3 points) 3 / π 4/ π tan 2 ( ) 1 / x x 2 dx
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3 g. (3 points) 0 π e -x sin x dx h. (3 points) Worldwide industrial sulfur emissions since 1860 have followed the pattern shown in the following graph. These data are approximately modeled by the function q(t) = 3.45e 0.026t million grams where t is time in years since 1860 and q(t) is the amount of sulfur released into the atmosphere by industry each year, in trillions of grams. 1 Use technology to estimate the total amount of sulfur released into the environment from 1860 to the 2060. (Round the answer to three significant digits, and write out the formula you used in technilogy) 1 The exponential model is the authors'. The graphical data was obtained from
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