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. a.) show that the cross-sectional area of the gutter is modeled by the function Atheta = 100 sin theta + 100 sin theta cos theta . b.) graph the function A for 0<_ theta <_ pie/2 c.) for what angle theta is the largest cross-sectional area achieved

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