MATH 230 Midterm: Test 2 fall 2012

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Do not write your name on this exam! Write your netid and your student id number in the spaces provided at the top of this page. Instructions: show all of your work on the pages provided! Explain your reasoning using complete sentences and correct grammar, spelling, and punctuation. All numerical answers must be exact; e. g. , you should write instead of 3. 14, 2 instead of 1. 414, and 1. Make sure that your nal answer is clearly indicated. Check to make sure you have pages 1 - 10. Calculators, course notes, textbooks, etc. are not allowed. Label the points of intersection on the positive axes. y x. For each of the following, calculate the limit or explain why the limit does not exist: (a) lim (x,y) (0,0) x2y + 1. 2 cos(xy) (b) lim (x,y) (0,0) x2 + 3x2y2 x2 + 4y2. Little bunny foo foo has taken to tormenting a eld mouse by launching acorns at it with a catapult.