final - Final Exam MATH 200 Spring, 2009 1 of 13...

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Unformatted text preview: Final Exam MATH 200 Spring, 2009 1 of 13 Name________________________ Section _____ Show all your work on the exam paper, legibly and in detail, to receive full credit. The use of a calculator or any other electronic device is prohibited. You may only use techniques discussed to date in class. You must simplify all answers unless you are explicitly instructed not to. 1. (10 points) Find the parametric equations of the line that passes through the point 6,2,0 and is perpendicular to the plane 4 3 5 y z . Points Page 1 10 pts Page 2 10 pts Page 3 10 pts Pages 4-5 10 pts Page 6 10 pts Page 7 10 pts Score Points Page 8 10 pts Page 9 10 pts Page 10 10 pts Page 11 10 pts Page 12 5 pts Total Score Final Exam MATH 200 Spring, 2009 2 of 13 2. (10 points) Find a unit vector in the direction in which , s i n 3 f x y x y increases most rapidly at , 4 2 , and find the rate of change of f at , 4 2 in that direction. Final Exam MATH 200 Spring, 2009 3 of 13 3. (10 points) Compute z x using implicit differentiation. Leave your answer in terms of , x y and . z 2 x z y z e y Final Exam MATH 200 Spring, 2009 4 of 13 4.(10 points)(1 pt each) Match the equations on this page with the picture letters on the...
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final - Final Exam MATH 200 Spring, 2009 1 of 13...

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