1700 - 1 MATH 203 Final Exam May 18, 2009 Instructions:...

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1 MATH 203 Final Exam May 18, 2009 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. Proctors will confiscate any devices observed in the examination room. 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. A line L is given parametrically by the equations x = 4 t ; y = 4; z = 2 + t . (a) Compute all unit vectors parallel to the line. (b) Compute the coordinates of the point where the line intersects the plane P with equation x + 2 y + 3 z = 0. (c) Is the line L perpendicular to the plane P ? Justify your answer. 2. Let f ( x,y,z ) = x 2 - cos( xy ) + e yz . (a) At the point (3
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1700 - 1 MATH 203 Final Exam May 18, 2009 Instructions:...

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