# HW6 - should be used for the square and how much for the...

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MATH 102, ASSIGNMENT 6 DUE JUNE 27 Problem 1. Consider a rectangle inscribed in a circle of radius r . a) Find the largest possible perimeter for such a rectangle. b) Find the largest possible area for such a rectangle. Problem 2. A solid is formed by adjoining two hemispheres to the ends of a (right) cylinder. Given that the volume of the solid is 12 cm 3 , ﬁnd the radius of the cylinder that produces the minimum surface area for the solid. Problem 3. Among all isosceles triangles of given perimeter P , ﬁnd the one which has the largest area. Problem 4. Four feet of wire is to be used to form a square and a circle. How much wire
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Unformatted text preview: should be used for the square and how much for the circle in order to enclose the least, respectively the greatest, total area? Problem 5. Sketch the graph of f ( x ) = 2 x 1 + x 2 by going through the “5-step” plan we had in class: domain, intercepts, asymptotes, ﬁrst derivative, second derivative. J-RULE: Just answers - “yes”, “5” - won’t get you full marks, but (correctly) justiﬁed answers - “yes, because. ..”, “(some algebra). .. (sweat sweat) . .. 5” - will. 1...
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## This note was uploaded on 01/27/2012 for the course ECON 204 taught by Professor Beryl li during the Spring '11 term at University of Victoria.

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