final - Name PID TA Sec No Sec Time Math 10A Final Exam...

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Unformatted text preview: Name: PID: TA: Sec. No: Sec. Time: Math 10A. Final Exam December 8, 2009 Turn off and put away your cell phone. You may use any type of calculator, but no other electronic devices during this exam. You may use one page of notes, but no books or other assistance during this exam. You may leave answers in symbolic form, for example √ 42 or ln(6) . Read each question carefully, and answer each question completely. Show all of your work; no credit will be given for unsupported answers. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clarification. # Points Score 1 8 2 4 3 6 4 4 5 4 6 4 7 4 8 6 9 4 Σ 44 1. (8 points) Find the derivative of the given function. Assume that a is a fixed constant. (a) f ( x ) = xe x (b) g ( x ) = ln ( x 2 + a 2 ) (c) h ( x ) = arctan(2- x ) (d) k ( x ) = sin( ax ) cos( x ) 2. (4 points) Below is the graph of y = f ( x ): y = f(x) y x For parts (a)-(d), match each function with the correct graph:...
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final - Name PID TA Sec No Sec Time Math 10A Final Exam...

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