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Week 1: Calculus I Practice Problem Solutions

Week 1: Calculus I Practice Problem Solutions

www.math.ucla.edu

Practice Problem Solutions Problem 1. What is the tangent line to the graph of y= x+ ex at x= 0? Solution. The tangent line is given by ‘(x) = y(0) + y0(0)(x 0) = 1 + 2x. Problem 2. Evaluate lim x!0 (1 + x) 1 x for 2R Solution. Using l’H^opital’s rule, we see lim x!0 (1 + x) 1 x = lim x!0 (1 + x) 1 1 = : This gives a rst order ...

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CHAPTER 1 - PROBLEM SOLUTIONS - Ju Li

CHAPTER 1 - PROBLEM SOLUTIONS - Ju Li

li.mit.edu

CHAPTER 1 - PROBLEM SOLUTIONS A. PROFICIENCY PROBLEMS 1. The plot below of load vs. extension was obtained using a specimen (shown in the following figure) of an alloy remarkably similar to the aluminum-killed steel found in automotive fenders, hoods, etc. The crosshead speed, v, was 3.3x10-4 inch/second. The extension was measured using a 2"

  Problem, Problem 1

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