MATH 21A Midterm: MATH 21A Harvard 21a Spring 09Midterm1
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Instructions: please begin by printing and signing your name in the boxes above and by checking your section in the box to the right, you are allowed 2 hours (120 minutes) for this exam. Please pace yourself accordingly: you may not use any calculator, notes, or other assistance on this exam, in order to receive full credit, you must show your work and carefully justify your answers. The correct answer without any work will receive little or no credit: if you need more room, use the backs of the pages and indicate to the grader that you have done so. Jun yin: please write neatly. assumed to be incorrect. Illegible answers will be: raise your hand if you have a question, good luck! What is the distance along c between r(3) and r(10)? (c) (2 points) suppose the traces of a quadric surface are parabolas (x = k), parabolas (y = k), and hyperbolas (z = k).
