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Unformatted text preview: Name: Math 211 Fall 2005 Final Exam Honor Pledge Write and sign the honor pledge here after you have finished the exam. There will be no calculators allowed during the exam. You may use 2 3x5 inch note cards. When asked to set up, but do not evaluate a formula, you must set up the formula so that the only step left in the problem would be to evaluate the formula you have written down. Use full sentences for all explanations and put a box around your final answer. Good Luck!! 1. True or False (2 points each) a. r ( t ) = < 3 , 2 t 2 , > is an equation of a line. b. Two planes parallel to a line must be parallel. c. The point (1 , 3 , 0) is a critical point of the function f ( x,y ) = ( x- 1) 2 y . d. The (nonempty) intersection of a plane and a sphere is a circle or a point. e. Twelve dimensions are needed to graph f : R 3 R 4 . 2. (5 points) Find the angle ABC for the points A (1 , 2 , 3), B (3 , ,- 1), and C (- 1 , 2 , 6). Bonus: (6 points) A boat is pulled onto shore using two ropes, as shown in the diagram....
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- Fall '07