Question: Optimization!! A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each

Optimization!!

A rain gutter is to be constructed from a metal sheet of width 30 cm by bending

up one-third of the sheet on each side through an angle theta. How should thetabe chosen so that

the gutter will carry the maximum amount of water?

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