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Unformatted text preview: Math 16A Short Calculus Final Exam Name: Signature: Directions: Turn off all cell phones now. Do not open your test until directed. You may not use books, notes, calculators, or cell phones on this test. Read each problem carefully. Make sure you answer every part of each problem. You have 2 hours. Show your work! Good luck! (scratch page) 1. Continuity (60 points) For each of the following functions, state: the range, the inter val(s) on which the function is continuous, and for each disconti nuity whether or not the discontinuity is removable. (60 points, 15 points each) (a) y = x 2 + 4 (b) y = x +2 x 2 4 (c) y = 2 x (d) y = 4 cos( ) + 1 2. Slope and Derivative (50 points) (a) Find an equation of the line tangent to f ( x ) = x 2 + 1 with slope 2. (20 points) (b) Use the limit definition to find the derivative of the following functions (30 points; 15 points each) i. f ( x ) = x 2 1 ii. h ( t ) = 2 t 3. Rates of Change (45 points) (a) The profit P from selling...
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This note was uploaded on 12/04/2009 for the course MATH 29325 taught by Professor Zhu during the Spring '09 term at UC Davis.
 Spring '09
 Zhu
 Calculus

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