66 - Department of Mathematics Math 19000 The City College...

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Department of Mathematics The City College of New York Math 19000 Final Examination Fall 2006 Instructions: Show all work. You may use a scientific calculator. There are 4 parts. In each part choose 5 questions. Each question is worth 5 points. In your answer book, for each question you want graded: draw a box around the answer, and write the number of the question inside or next to the box. Part I. Choose any 5 questions from this part. 1) Find an equation of the circle with center (2,–3) that passes through the point (2, 3). 2) Find an equation of the line through point (7, 6) that is parallel to the line . 13 5 2 = + y x 3) Given simplify 2 ) ( x x x f = h x f h x f ) ( ) ( + 4) Use long division to simplify the fraction x x x x 2 1 1 4 8 8 2 3 + + + + . 5) Rewrite 4 4 2 1 2 2 + + x x x x as a simplified fraction. 6) Find the center and radius of the circle whose equation is . y x y x 2 4 2 2 + + = Part II. Choose any 5 questions from this part. 7)

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This note was uploaded on 10/28/2011 for the course MATH 195 taught by Professor Ocken during the Spring '11 term at CUNY Hunter.

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66 - Department of Mathematics Math 19000 The City College...

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