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Exam 3 Fall 2011 - Math 2123.2 — Fall 2011 Exam 3 To...

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Unformatted text preview: Math 2123.2 — Fall 2011 - Exam 3 To receive credit, you must ShOW your work. 1. [10 points] Find the antiderivatives of 3. [10 points] Find the antiderivative of f = $2 -— 1 that satisfies F(3) = 0. [{fl 3 13/ l .> 1 3M“ \ J PRUZWK ~32}, , .1 \ ‘ me} (SLIM; flmg: (VK 9010.!) :{3 5 C / 2 4. [15 point] Evaluate / V303 + 1 (31:2) dx. 0 S: 439}! (iflch . S" r: 01 'U 0 ,.. E E“ 9.3.. C 9-3- CD 6. Consider the region R bounded between the curves y = $2 and y = 2 — 332. (a) [7 points] Sketch the curves and the region R on the Cartesian coordinate system shown below. (b) [8 points] Express the area of the region R as a definite integral. (0) [5 points] Evaluate the area of the region R. 7. [15 points] Use Simpson’s Rule with n = 4 to approximate the integral 1 1 d. All—372$ Round your answer to three decimal places. lx‘ \~O ,\\ / T; Mfi'as \/ ...
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