114S09final

114S09final - MATH 114, FINAL EXAM MAY 7 th 2009, 12-2PM...

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Unformatted text preview: MATH 114, FINAL EXAM MAY 7 th 2009, 12-2PM Name: klasdjSolutionsadfsdfgdsfgsdfgkjjhsdaf Penn ID number: klasdjjhsdfsdaf Signature: klasdjSolutionsadfsdfgdsfgsdfgkjjhsdaf Circle the name of your instructor: Ballard Krieger Powers Zywina Instructions: 1. The exam is 2 hours long and consists of 19 questions. Each question is worth 5 points. 2. You may use one handwritten two-sided page of notes. No other notes, books or calcula- tors are allowed. 3. You must show all work ; answers without supporting work will be given little or no credit. The following is for grading purposes only, do not fill in. 1. khsadfkjjhsdaf 8. 1khsadfkjjhsdaf 15. khsadfkjjhsdaf 2. khsadfkjjhsdaf 9. 1khsadfkjjhsdaf 16. khsadfkjjhsdaf 3. khsadfkjjhsdaf 10. khsadfkjjhsdaf 17. khsadfkjjhsdaf 4. khsadfkjjhsdaf 11. khsadfkjjhsdaf 18. khsadfkjjhsdaf 5. khsadfkjjhsdaf 12. khsadfkjjhsdaf 19. khsadfkjjhsdaf 6. khsadfkjjhsdaf 13. khsadfkjjhsdaf 7. khsadfkjjhsdaf 14. khsadfkjjhsdaf Total: khsadfkjjhsdaf 1 (1) Where does the plane through the points ( x, y, z ) = (1 , , 0) , (0 , 1 , 0) , (1 , 1 , 2) inter- sect the z-axis? Answer: z = A. -4 B. -2 C. -1 D. 0 E. 1 F. 2 G. 4 H. 6 (2) Suppose that y ( x ) satisfies the differential equation xy + y = 2 x . Given the initial condition y (1) = 4, what is y (2)?...
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114S09final - MATH 114, FINAL EXAM MAY 7 th 2009, 12-2PM...

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