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Unformatted text preview: Math 1A, Spring 2008, Wilkening Sample Midterm 2 You are allowed one 8 . 5 × 11 sheet of notes with writing on both sides. This sheet must be turned in with your exam. Calculators are not allowed. 1. (1 point) write your name, section number, and GSI’s name on your exam and write your name on your sheet of notes. 2. (4 points) Find the equation of the tangent line to the curve y 2 = x 3 + 3 x 2 at the point (1 , 2). 3. (5 points) Find the relative maxima, minima and inflection points of the function f ( x ) = xe x 2 / 2 4. (5 points) Find the function u ( t ) that satisfies du dt = 3( u 5) , u (0) = 1 and evaluate u (ln 2). 5. (5 points) Let f ( x ) = √ 4 + x . Find the linearization L of f at 0 and use the mean value theorem to show that f ( x ) < L ( x ) for x > 0. 6. (5 points) Evaluate the limit lim x →∞ tanh x 1 tan 1 x π/ 2 Another Sample Midterm 2 1. (1 point) write your name, section number, and GSI’s name on your exam and write your name on your sheet of notes.write your name on your sheet of notes....
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This note was uploaded on 09/24/2009 for the course MATH 1A taught by Professor Wilkening during the Spring '08 term at Berkeley.
 Spring '08
 WILKENING
 Math, Calculus

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