final_fa04

# final_fa04 - Name: TA Name: Math 20A. Final Examination...

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Name: Section Number: TA Name: Section Time: Math 20A. Final Examination December 8, 2004 Turn of and put away your cell phone. No calculators or any other devices are allowed on this exam. You may use one page oF notes, but no books or other assistance on this exam. Read each question careFully, answer each question completely, and show all oF your work. Write your solutions clearly and legibly; no credit will be given For illegible solutions. IF any question is not clear, ask For clari±cation. 1. (6 points) Let f ( x ) = 2 x + x 2 . Use the defnition oF the derivative to compute f 0 (5). # Score 1 2 3 4 5 6 7 8 9 10 Σ

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2. (6 points) Compute the following limits. (a) lim x 0 1 - cos(3 x ) x 2 (b) lim x 0 + x ln(2 x ) (c) lim x 1 x 2 - 1 x 3 + 3
3. (6 points) Find the point(s) on the ellipse 4 x 2 + y 2 = 20 at which the tangent line has a slope of 1.

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(a)
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## This note was uploaded on 12/02/2009 for the course MATH Math 20A taught by Professor Eggers during the Fall '08 term at UCSD.

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final_fa04 - Name: TA Name: Math 20A. Final Examination...

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