114S10FinalAns - Math 114 Final Exam University of...

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Math 114 - Final Exam - University of Pennsylvania Tuesday, May 4, 2010 @ 12:00 - 2:00 PM Name : Your professor (circle one) : Dr. Powers Dr. He Dr. Wylie Dr. Strain Your TA(circle one) : Yan Wang Sohrab Shahshahani Zhe Liu Eugene So Ryan Eberhart Yin Xia Recitation day and time : I certify that all of the work on this test is my own. Signature: INSTRUCTIONS: 1. Please complete the information requested above. There are 19 multiple choice problems. 2. Please show all your work on the exam itself. Correct answers with little or no supporting work will not be given credit. 3. You are allowed one hand-written sheet of paper with formulas. No calculators, books or other aids are allowed. Please turn in your crib sheet together with your exam. OFFICIAL USE ONLY: Problem 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Points 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 Your score Your total score :
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1. Let P be the plane that contains the points (2 , 1 , 3), (2 , 2 , 4), and (1 , 1 , 6). What is the distance from P to the point (1 , 1 , 1)? (a) 5 11 ** (b) 5 3 (c) 5 13 (d) 8 11 (e) 8 3 (f) 8 13 (g) 13 11 (h) 11 13 2. Where does the the plane that contains both of the lines L 1 = < 3 - t, - 4 + t, 4 + 2 t > & L 2 = < 3 + t, - 4 + t, 4 - t >, intersect the x -axis?
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