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Unformatted text preview: 12 3 ) ( 6 ) 3 4 ( 12 3 6 3 4 12 ) ( 3 4 2 2 2 2 2 2 2 2 2 =+ + + =+ + + = + + c x mc x m c mxc x m x c mx x The discriminant must be 0, therefore ac b 4 2 = , therefore ) 12 3 )( 3 4 ( 4 36 2 2 2 2+ = c m c m 4 3 192 144 48 144 36 192 48 36 2 2 2 2 2 2 2 2 2 2 + = + =+= m c m c m c m c c m Assign: Exercise 18.2 # 2dfg, 6, 7, 8, 10, 12, 14, 15, and questions below. 1) Find the coordinates of the points of intersection of the parabolas x y = 2 and 2 y x = . What are the equations of the tangents to the curves at these points? 2) Show that the equation of the tangent to the rectangular hyperbola 2 c xy = at the point ) , ( k h may be written 2 2 =+ c yh xk . Find the equation of the tangent which passes through the point ) , ( c ....
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This note was uploaded on 07/12/2011 for the course MATH 241 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Kim
 Calculus, Slope

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