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Unformatted text preview: x the inequality ( x 24) / ( x 29) > 0 is valid. We factor the numerator and denominator to get ( x2)( x + 2) ( x3)( x3) > . We know that for large values of x , each factor ( x ± 2), ( x ± 3) is positive. Further, each factor changes sign exactly once and this happens when the factor is zero. Thus, the inequality is true for large x and changes • from true to false at x = 3, • from false to true at x = 2, • from true to false at x =2, • from false to true at =3. 1 2 EXAM 1 SOLUTIONS – MATH 12, FALL 2011 Thus the inequality is true if x is in (∞ ,3) ∪ (2 , 2) ∪ (3 , ∞ ) Solution 6. The equation of a circle with center (3 ,4) and radius 5 is ( x3) 2 + ( y(4)) 2 = 5 2 , ( x3) 2 + ( y + 4) 2 = 25 ....
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This note was uploaded on 11/13/2011 for the course MATH 12 taught by Professor Marx during the Fall '08 term at UC Davis.
 Fall '08
 MARX
 Math, Calculus

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