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

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Name: PID: TA: Sec. No: Sec. Time: Math 10A. Final Exam March 16, 2011 Turn off and put away your cell phone. You may use one page of notes, but no books or other assistance during this exam. 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. Please note: there are multiple versions of this examination. Answers appropriate for a version different from your own will be considered as evidence of academic dishonesty. # Points Score 1 12 2 6 3 6 4 6 5 4 6 6 7 6 8 8 9 6 Σ 60
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1. Compute the derivative of the following functions. Assume a , b , c and k are constants. (a) (3 points) s ( x ) = arctan(2 - x ) (b) (3 points) f ( θ ) = p cos(5 θ ) + 2 arcsin(6 θ ) (c) (3 points) g ( t ) = ( at 2 + b ) c t (d) (3 points) h ( x ) = ln( kx ) + x ln( kx ) - x
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2. (a) (4 points) Let f ( x ) = 8 x - 3 for x < 2 , 3 for x = 2 , 1 8 x 3 for x > 2 .
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