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05-06 Fall Final Exam

# 05-06 Fall Final Exam - Mathematics 104 Fall Term 2005-2006...

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Unformatted text preview: Mathematics 104. Fall Term 2005-2006 Final. Examination January. 28, 2006 Name Instructor Class hour There are eleven questions, weighted equally. Please answer them on these pages; no examination booklets should be used. This is a three hour examination. Calculators are . not permitted. ' Write the pledge in full and sign it: I pledge my honor that I have not violated the Honor Code during this examination. The corrected examinations can be obtained from'your instructor. Do not call the department for grades. Your grade for the course .is ' Name 1. Evaluate f1n(:c2+ 1) daz. Name dx 2. Evaluate/m. Name no ' l 7 5m — 7- cos :c 3. Does / —(5)—(;:—) dz: converge or diverge? Give your reasons. 1 Name I W n —1 . . 4. Does E n! (m— converge or dlverge? Gwe your reasons. 1’]. n=1 Name converge? Give your reasons. El“ 5. For hat values of a: does ( ) w n; _ 2 Name 6. Find {75 with an error lees than 0.01. Show your work. Name 7. Find in polar form all solutions of 2:4 + 222 + 2 = 0. Name 8. Find allreal solutions to the differential equation '9’ + (2 cot 3):; = 1. ‘ Name I 9. Find all real solutions to the differential equation 3;" -— 631’ + 10y = .2". Name 10. Find the volume obtained by revolving around the y-axis the region above the z—axis, below the curve 3; = main 2:, with 0 S x 3 7r. Name 11. Find the surface area of the paraboloid obtained by revolving the graph of y = 2J5 for 0 _<_ x 5 3 around the :c—axis. ' ...
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05-06 Fall Final Exam - Mathematics 104 Fall Term 2005-2006...

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