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Unformatted text preview: function f ( x ) = (9 + x 2 ) 1 / 2 at the point (4 , 5). b) Find the intersection of this tangent line with the x axis. III: (20 points) Water is dripping through the bottom of a conical cup 4 inches across and 6 inches deep. Given the cup loses half a cubic inch of water per minute, how fast is the water level dropping when the water is 3 inches deep? IV: (20 points) Find all the maxima and minima of the function cos( x )(cos( x ) + 1) in the interval [0 , 2 π ]. V: (20 points) How many roots has the equation 6 x 5 + 13 x + 1 = 0 ?...
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 Fall '08
 N/A
 Calculus, Approximation, Derivative, Mathematical analysis, Continuous function, Inch

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