01spr-f - FINAL EXAM Math 51 Spring 2001 You have 3 hours...

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FINAL EXAM Math 51, Spring 2001. You have 3 hours. No notes, no books. YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING TO RECEIVE CREDIT Good luck! Name ID number 1. (/50 points) 2. (/50 points) 3. (/50 points) 4. (/50 points) 5. (/50 points) Bonus (/20 points) Total (/250 points) “On my honor, I have neither given nor received any aid on this examination. I have furthermore abided by all other aspects of the honor code with respect to this examination.” Signature: Circle your TA’s name: Kuan Ju Liu (2 and 6) Robert Sussland (3 and 7) Hunter Tart (4 and 8) Alex Meadows (10) Dana Rowland (11) Circle your section meeting time: 11:00am 1:15pm 7pm 1
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1. Let the function f : ± R 2 - { -→ 0 } ² R 2 have components f 1 and f 2 as described by f ³ x y ´ = ³ f 1 f 2 ´ = ³ ( x 2 ) y xy 2 ´ (a) Note that the function f is not defined at the origin; this is because the component f 1 is not defined there.
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01spr-f - FINAL EXAM Math 51 Spring 2001 You have 3 hours...

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