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# 69 - Department of Mathematics The City College of New York...

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Department of Mathematics The City College of New York Math 19000 Final Examination Spring 2006 Instructions: Show all work. You may use a scientific calculator. Answer 5 questions from Part I and 13 questions from Part II. Part I. Answer any 5 questions (7 points each) 1) Simplify completely: 2 2 3 2 4 3 x x x x x + + 1 1 2) Solve for x : 1 1 2 3 x x = 1 3) Solve the equation 17 4 7 x = x and check your answer(s). 4) Use long division to simplify the fraction 1 3 2 3 + + + x x x x . 5) In triangle ABC , angle A measures 27 degrees, angle B measures 95 degrees, and the length of side AB is 15 centimeters. Find the length of side AC , correct to two decimal places. 6) Find the largest angle (to the nearest degree) of a triangle whose sides measure 7 inches, 8 inches, and 4 inches. Part II. Answer any 13 questions (5 points each) 7) Rewrite 2 1 3 3 7 2 3 y x y x x so that only positive powers (and no radical sign) appear in your answer.

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69 - Department of Mathematics The City College of New York...

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