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Unformatted text preview: points. (e) Use the information above to sketch the graph of h .21 1 2642 2 4 6 3. (5 points) Find an equation for the tangent line to the graph of x 2 + xyy 2 = 1 at the point (2 ,3). 4. (5 points) Find the linear approximation to f ( x ) = e 3 x at x = 0, and use it to estimate f (0 . 1). 5. (5 points) A ladder stands in the middle of a room, forming an isosceles triangle whose base is on the Foor and whose equal sides measure 13 feet each. Suddenly, the brace joining the two sides of the ladder breaks and it collapses, always forming an isosceles triangle. How fast is the base of this triangle changing when the top of the ladder is 5 feet above the ground and dropping at 16 feet/second?...
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 Fall '08
 Yacobi
 Optimization, Mathematical analysis, Convex function, Isosceles Triangle

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