In each problem determine if L’Hospital’s Rule applies by indicating the appropriate indeterminate form. If so, use the rule to find the limit. Show all steps for each problem. A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle. How should the wire be cut to minimize the total area enclosed by the pieces of wire?

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In each problem determine if L’Hospital’s Rule applies by indicating the appropriate indeterminate form. If so, use the rule to find the limit. Show all steps for each problem.

A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle. How should the wire be cut to minimize the total area enclosed by the pieces of wire?

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