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Unformatted text preview: MATH 23 Midterm 1 Lecture #1 Version Fall Semester 2009 Instructions: Answer all questions, without the aid of books or calculators. You may use the back of the pages of the exam if that is necessary, but please indicate on the exam that you have done so. Blank paper is available upon request. Problem Score 1 2 3 4 Total 1 MATH 23 Midterm 1 Lecture #1 Version Fall Semester 2009 1. (10 points in total) Only your final answers will be graded on these problems. (a) Let n be the normal of a plane and let v be a vector in the plane such that | n | = 1 and | v | = 4. Find v n . Answer: 0 (b) Let u v = h 1 ,- 2 , 1 i Find v 2 u . Answer: h- 2 , 4 ,- 2 i (c) Find lim ( x,y ) (2 , 2) x + y xy + 1 . Answer: 4 5 (d) How many unit vectors are orthogonal to a given plane? Answer with a number . Answer: 2 (e) The horizontal and vertical traces of a quadric surface are ellipses. Classify the surface (what is such a surface called?). Answer with a word ....
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This note was uploaded on 09/09/2010 for the course MATH math 21A taught by Professor Fuliu during the Spring '10 term at UC Davis.
- Spring '10