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Unformatted text preview: e x 4e x 4. Find the following limits if they exist. (a) [6 pts. ] lim t → √ t 2 + 164 t 2 ! (b) [6 pts. ] lim x →2 ± x 2x6 x + 2 ² (c) [6 pts. ] lim x → ± 1 x 2 ² 5. Use the following table of times and distances at time t to do the following problems. Time (hours) 1 2 3 4 Distance (miles) 13 20 27 35 (a) [6 pts. ] Approximate the instananeous velocity at t = 2. (b) [6 pts. ] Find the average velocity over [0 , 3]. MA141001 Test 1B February 2, 2010 Amanda Smith 6. Use the graph of g ( x ) below to do the following problems. (a) [6 pts. ] Find lim x → 1g ( x ). (b) [6 pts. ] Find lim x → 1 + g ( x ). (c) [6 pts. ] Find lim x → g ( x ). (d) [8 pts. ] Is g ( x ) continuous at x = 0? Explain why or why not. (e) [8 pts. ] Is g ( x ) continuous at x = 1? Explain why or why not. Bonus : [2 pts. ] Geometrically speaking, how is a cycloid contructed?...
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This note was uploaded on 05/17/2010 for the course MATH 141 taught by Professor Amandasmith during the Spring '10 term at University of North Carolina School of the Arts.
 Spring '10
 AmandaSmith
 Math, Calculus

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