M17 LE2 Sem1 09-10 - Mathematics 17 First Semester AY...

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Mathematics 17 First Semester AY 2009-2010 Second Long Exam 8 August 2009 General Instructions. Use only blue or black ballpen. Show all necessary solutions and box all final answers. I. MODIFIED TRUE OR FALSE. Write TRUE if the statement is true. Otherwise, provide a justification why the statement is false. 2 pts each 1. The grahs of the equations 11 x - 2 y = 3 and 2 x = 11 y - 3 are perpendicular to each other. 2. If a is a positive real number, then a > 1 x implies that ax > 1. 3. If f ( x ) and g ( x ) are linear functions from R to R , then for every real number x , ( f g )( x ) = ( g f )( x ) . 4. The parabola y = ax 2 + bx + c , where a , b, and c R and a 6 = 0, does not touch the x -axis if b 2 - 4 ac < 0 . 5. The point (7 , - 3) is inside the circle ( x - 5) 2 + ( y + 7) 2 = 19. II. Find the solution set of the following. 5 pts each 1. 9( x 2 / 3 - 1) - 5 = 4( x 2 / 3 - 1) 2 2. 5
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