final

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

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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
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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## This note was uploaded on 09/07/2011 for the course MATH 10A taught by Professor Arnold during the Fall '07 term at UCSD.

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

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