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Unformatted text preview: , ln(5)). b) Find the intersection of this tangent line with the x axis. III: (20 points) At what rate is the volume of a sphere changing at the instant when the surface area is increasing at the rate of 4 square centimeters per minute and the radius is increasing at the rate of 0.1 centimeter per minute? IV: (20 points) Find the minimum of the expression a ln( a ) + b ln( b ) among all positive numbers a, b > 0 with a + b = 1. V: (20 points) b) How many roots can the equation x 6 + 6 x 2 + x + 1 = 0 at most have?...
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This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.
 Fall '08
 N/A
 Calculus, Approximation

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