MATH 151 TEST 2 FALL 2010 11 10 2010 Remember 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 Good luck Name pts 1 Integrate each of the following a 6 x 1 1 2 x 4 2 x 4 3 dx 0 b 6 e 3 x dx 2 c dx 7 2 x d 0 2 x 1 x 3 x 2 dx 5 8 2 Use the integral tables on the back of page 3 to evaluate tell which number you used a dx 3 x 7 x 4 6 6 b 7x 2 x 5 2 dx 12 6 x 2 3 x 1 x2 x 2 3 Find the partial fraction find the coefficients expansion of 10 4 Tell what each sequence or series converges to or explain why it diverges a c n 2 1 e 1 cos n n 1 2 10 3 n b n 7 5 n3 4 d n 5 12 n3 2 n 1 4 n2 2 n3 5 Find two different sets of polar coordinates for the point with rectangular coordinates 4 3 Make one of your points have a negative r Use your calculator to approximate to the 8 nearest thousandth of a radian 7 6 Find an equivalent equation in x y coordinates for the polar equation 2 2 7 r sin r cos Sketch the graph this should not need a calculator at all 7 7 Give a specific example of each of the following or show why it is impossible a A convergent sequence b A convergent series a n whose associated series an n 1 4 whose associated sequence a n diverges 4 a1 2 an diverges 8 Write the first five terms of the sequence a1 through a5 5 ak 3 ak 1 if k is even ak 2 ak 1 if k is odd n 1