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Test 4

# Test 4 - MATH 110 Exam 4 Fall 2010 All Sections No books...

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MATH 110 - Exam 4 - Fall 2010 - All Sections No books, notes, or calculators allowed. Do NOT write on this exam. There is no time limit. 1. Which one of the conics is represented by the equation 2 x 2 + 6 x ! 3 y 2 = 6 x ! 1 ( ) + 9 (a) circle (b) ellipse (c) hyperbola (d) parabola (e) none of the above 2. Find the center of the ellipse x 2 + 2 y 2 + 8 x ! 12 y + 30 = 0 (a) 2, 2 ( ) (b) ! 4, 2 ( ) (c) 4, 2 ( ) (d) ! 4, 3 ( ) (e) 4, ! 3 ( ) 3. Find the asymptotes of the hyperbola 4 x 2 ! y 2 = 16 (a) y = ± 16 x (b) y = ± 4 x (c) y = ± 2 x (d) y = ± 1 2 x (e) y = ± 1 4 x 4. Solve the following system of equations. Find y . 3 x + 2 y ! 3 z = ! 1 2 x + 3 y + 4 z = 8 x + y + z = 3 " # \$ % \$ (a) y = ! 2 (b) y = 1 (c) y = 2 (d) y = 3 (e) y = 6 5. x + 2 x ! 1 ( ) x + 3 ( ) = A x ! 1 + B x + 3 . Find the product A ! B . (a) A ! B = " 3 (b) A ! B = " 1 (c) A ! B = " 5 16 (d) A ! B = 3 16 (e) A ! B = 1

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6. Solve the following system of equations. Find the product x " y . 3 x " 2 y = 0 2 x " 3 y = 5 # \$ % (a) x " y = 0 (b) x " y = 3 2 (c) x " y = 7 3 (d) x " y = 6 (e) No solution. This system is inconsistent
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Test 4 - MATH 110 Exam 4 Fall 2010 All Sections No books...

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