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MATH 151 TEST 2 11/20/07 FALL, 2007Remember to keep your work neat and orderly. Show all of your work. NO WORK = NO CREDIT! Read each question carefully and be sure to answer the question that was asked. Calculator answers are not acceptable.Name:____________________________________________________________ pts1. Integrate each of the following:a.dxex023b.  dxxx ln35,7 c. dxxx4)5(122d. dxx203128,72. Integrate some more!a. dxxx 4sin3b. dxxxx453227,63. Find the partial fractions expansion of )3(6722xxxxx (evaluate the constants!) 74. Use the tables in the back of the book to integrate dxxx2249. Give the number of the formula you used. 75. Find another set of polar coordinates with 20  that corresponds to the given point in polar coordinates:a.611,5b. 57,03,36. Sketch the graph (use your calculator) and then set up (do not evaluate) an integral that will give the total area enclosed by the graph of the polar curve .3cos5r97. For the parametric equation;6tx,4 tyeliminate the parameter and sketchthe graph. Show and label the coordinates of the starting point and the direction of motion. 7 8. Given the parametric curve;3tex;2sin ty .10 ta. Find the slope of the tangent line to the graph at .0t6b. Set up (do not evaluate) an integral in parametric form (with a dt) that will give the area under the curve and above the x-axis. 5c. Set up (do not evaluate) an integral in parametric form (with a dt) that will give the volume of the solid if the curve is revolved around the x-axis. 69. Evaluate completely:


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SCSU MAT 151 - MATH 151 TEST 2

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