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sample_final - Name: PID: TA: Sec. No: Sec. Time: Math 10C....

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Unformatted text preview: Name: PID: TA: Sec. No: Sec. Time: Math 10C. Final Examination June 10, 2009 Turn off and put away your cell phone. No calculators or other electronic devices. 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. # Points Score 1 6 2 6 3 6 4 6 5 6 6 6 7 6 8 6 48 1. (a) (4 points) Find the Taylor polynomial of degree 2 for f ( x ) = ln( x ) centered at x = 1. (b) (2 points) Use the Taylor polynomial you found in part (a) to estimate the value of ln(1 . 2). 2. Let P = (3 ,- 5 , 7). (a) (3 points) Find the distance from the point P to the xz-plane. (b) (3 points) Find the equation of the sphere of radius 3 centered at P . 3. Let ~u =- ~ i + 2 ~ j- 4 ~ k and ~v = ~ j + ~ k ....
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sample_final - Name: PID: TA: Sec. No: Sec. Time: Math 10C....

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