m203finspring2010 - 1 MATH 203 Final Exam, May 24, 2010...

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Unformatted text preview: 1 MATH 203 Final Exam, May 24, 2010 Instructions: Complete every question in Part I (Questions 1-7.) Complete three of the five questions in Part II (Questions 8-12). 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 1-7. 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.

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m203finspring2010 - 1 MATH 203 Final Exam, May 24, 2010...

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