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Sample APMA212 FinalExam

# Sample APMA212 FinalExam - APMA 212 Fall 2006 Final Exam...

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APMA 212 Fall 2006 Final Exam Section :____ Name : ______________________________________ Directions: This test is ten pages long, not including the cover sheet. There are 24 problems. Space on these pages should be adequate for your work—if not, use the last page of this test. Multiple-choice problems will be graded all-or-nothing. Work carefully and circle the correct answer. On other problems, record your final answer in the answer box provided. NOTE : If you are asked to use a specific theorem in solving a problem, you must use the specified theorem in order to obtain credit for your work! Show your work on all problems (even multiple-choice) to obtain credit . No Notes No Books No Calculators Good Luck!!!!! Write and sign the pledge Page Weight Score 1 10 2 10 3 12 4 14 5 8 6 10 7 12 8 8 9 8 10 8 TOTAL 100 Thursday, December 7, 2006

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APMA212 Fall 2006 [2] 1. Find radius of the sphere whose equation is 2 2 2 2 4 x x y z + + + = . (A) 1 (B) 2 (C) 3 (D) 2 (E) 5 (F) 6 (G) 7 (H) 2 2 [2] 2. Given the points P(-2, 5) and Q(3, -3), find the unit vector in the direction of the directed line segment PQ . uuu v Answer: [6] 3. Let be the line given by 2 , 1 , and 1 2 . intersects the plane 2 1 at the point P = (1, 2, 3). Find the angle makes with the plane. L x t y t z t L x y z L = - = + = + + - = .
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