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Unformatted text preview: Mathematics 17 Midterm Exercise Set I. Perform the indicated operations and simplify the following. 1. " ( 3 1 a 4 b 4 c 1 / 2 ) 3 (27 a 6 b 3 c ) 2 # 2 / 3 2. x 3 x 1 3 4 x x 2 5 x + 4 ÷ 6 x 2 + 27 x + 21 1 x 2 · x 3 + 27 2 x 2 + 5 x 7 3. √ 5 3 √ 25 6 √ 5 35 3 r 1 25 ! · 3 √ 25 √ 13 √ 3 ! II. Find the solution set of the following. 1. √ 2 x 1 = 1 + √ x + 3 2. q 3 √ 2 x 1 + x = 2 3. 3 3 5 x 2 + 2 3 5 x = 33 4. 4 x 3 y + z = 9 6 x z = 1 2 x + 3 y = 4 5. 4 x + 3 y 2 z = 9 3 x + 4 y 2 z = 10 2 x 3 y + 4 z = 11 III. Do as indicated. 1. Given points A and B having coordinates ( 5 , 7) and ( 9 , 1), respectively, determine the general equation of the line which perpendicularly bisects line segment AB . 2. Find a quadratic equation whose product of its roots equals 1 3 and the sum of its roots equals the sum of the roots of 2 x 2 + x 3 = 0 3. Find the centerradius form of the equation of the circle which passes through the point (53....
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This note was uploaded on 08/05/2011 for the course MATH 17 taught by Professor Aaronjamesporlante during the Spring '11 term at University of the Philippines Diliman.
 Spring '11
 AaronJamesPorlante
 Math

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