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.dxex023b. dxxx ln35,7 c. dxxx4)5(122d. dxx203128,72. Integrate some more!a. dxxx 4sin3b. dxxxx453227,63. Find the partial fractions expansion of )3(6722xxxxx (evaluate the constants!) 74. Use the tables in the back of the book to integrate dxxx2249. 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.611,5b. 57,03,36. 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 .3cos5r97. For the parametric equation;6tx,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 .0t6b. 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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