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Unformatted text preview: 1 MATH 203 Final Exam, May 24, 2010 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 (2 , 1 , 1), (1 , 3 , 1) and (2 , 1 , 2) and let Q be the plane z = x + y . (a) Parameterize the intersection of the two planes P and Q . (b) What is the smaller of the two angles of intersection of the planes? 2. (a) Parameterize the tangent line to the curve ~ r ( t ) = < 1 2 t ,e t 2 ,t 1 / 3 > at the point ( 1 2 ,e, 1). (b) Find an equation of the tangent plane to the surface z = x 2 4 y 2 + 3 at the point (2 , 1 , 3)....
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This note was uploaded on 01/29/2012 for the course MATH 203 taught by Professor Snell during the Spring '11 term at City College of San Francisco.
 Spring '11
 snell
 Math

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