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Unformatted text preview: 1 MATH 203 Final Exam, December 17, 2009 Instructions: Complete every question in Part I (Questions 17.) Complete three of the five questions in Part II (Questions 812). Each question is worth 10 points. No calculators or other electronic devices may be used during the examination. Answers may be left in terms of 7 , sin(3) , , etc. Give reasons for all answers. This exam will last 2 hours and 15 minutes. Good luck! PART I: Answer all parts of Questions 17. Each question is worth 10 points 1. Let P be the plane that contains the points (1 , 2 , 2), ( 2 , 1 , 4) and ( 1 , 3 , 2). (a) Give an equation for the plane P . (b) Parameterize the line of intersection between P and the plane z = 1. 2. Given that f ( x,y,z ) = x 3 y 2 + ye 2 z . (a) Evaluate f . (b) Find the rate of change of f at (2 , 1 , 0) in the direction of h 2 , 2 , 1 i . (c) Find an equation of the tangent plane to the surface x 3 y 2 + ye 2 z = 7 at the point (2 , 1 , 0)....
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 Spring '11
 snell
 Math

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