SurCalEx1F2000 - discontinuous b At what x-values is the...

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Survey Calculus, Exam #1 September 2 6, 2000 Chapter 2 and Sections 3.1 and 3.2 Name__________________________ To receive full credit you must show all work. 1. Evaluate the following limits without the use of a table. a. 2 2 3 lim 2 2 + x x x x b . s s s 2 16 1 lim 2. Use the definition of derivative to find for ) ( ' x f 2 3 2 ) ( 2 + = x x x f 3. Find f for each of the following. Do not simplify your answers. ) ( ' x a. 5 4 5 3 ) ( 3 2 3 + = x x x x f b. ( )( ) 1 2 3 2 6 4 ) 2 4 3 + + x x x x x ( = f c. 2 5 1 3 ) ( 2 + = x x x f d . 3 2 4 1 ) + x x x (
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4. Evaluate the following expression. 16 7 2 2 = x x dx d 5. Use the given graph to answer the following questions. a. At what x-values is the function
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Unformatted text preview: discontinuous? b. At what x-values is the function nondifferentiable? 6. After t hours a passenger train is miles due west of its starting point (for 0 ). 3 2 2 24 ) ( t t t s − = 12 ≤ ≤ T a. Find its velocity at time t=4 hours. b. Find its acceleration at time t=1 hour 7. A steel mill finds that its cost function is 3 6000 8000 ) ( x x x C − = dollars, where x is the daily Production of steel (in tons). a. Find the marginal cost function b. Find the marginal cost when 64 tons of steel are produced....
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This note was uploaded on 01/12/2012 for the course MATH 2043 taught by Professor Pamelasatterfield during the Fall '05 term at NorthWest Arkansas Community College.

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SurCalEx1F2000 - discontinuous b At what x-values is the...

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