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Unformatted text preview: f is decreasing. (b) Find the local maximum and local minimum values of f . (c) Find the interval(s) on which the graph of f is concave upward and the interval(s) on which the graph of f is concave downward. 4. (6 points) Randall Cohn has a pool with the shape of an inverted cone which is 5 meters deep with a radius of 5 meters at the top (base). Randall Flls the pool with his garden hose at a rate of 0.1 cubic meters per minute. At what rate is the water depth increasing when the depth is 3 meters? (Note: The volume of a cone of height h and radius r is given by V = 1 3 πr 2 h .) d = 5 r = 5 5. (6 points) Find the point(s) on the ellipse x 2 + xy + y 2 = 12 at which the corresponding tangent line is horizontal....
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 Fall '08
 Yacobi
 Derivative, #, Mathematical analysis, Convex function, corresponding tangent line, local minimum values

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