Practice Test1B

Practice Test1B - Name Teaching Assistant Math 1501 J...

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Name 17 September 2009 Teaching Assistant Hour Test 1 Math 1501 J Andrew Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but are by no means necessary. Pay particular attention to instruction 2. To receive credit, you must show your work. Unexplained answers, and answers not supported by the work you show, will not receive credit. 4. Express your answers in simplified form. 1. (25) Either evaluate the given limit or explain why it does not exist. Don't even think about using L'Hospital's rule. a. 6 5 2 3 lim 2 2 2 + - + - x x x x x b. 6 5 1 2 lim 2 2 2 + - + - x x x x x c. ) 3 sin( lim 0 x x x d. 2 1 ) sin( lim 2 π - - x x x 2. (25) a. Use the definition of the derivative to compute ) 0 ( ' f for x x x f = ) ( . b. Calculate the derivative of i. ) 2 sin( ) sin( ) ( x x x x f = ii. 1 1 ) ( 2 2 + - = x x x g iii. ) ( cos ) ( 2 3 x x h =
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Name Page 2 of 3 Hour Test 1 Teaching Assistant 17 September 2009 3. (25) a. Find the equation of the line tangent to the graph of
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Practice Test1B - Name Teaching Assistant Math 1501 J...

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