The trough in the figure is to be made to the dimensions shown. Only the angle ? can be varied. What value of ? will maximize the trough's volume? The trough has a maximum volume when the value of ? is radians. (Type an exact answer, using ? as needed.)
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Step 1
First, we need to find the expression for the volume of the trough. The trough is in the shape of a triangular prism, with the base being an isosceles triangle. The length of the trough is L, the height of the triangle is h, and the base of the triangle is 2x. Show more…
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