Question: MCV4Ua Optional Exponential and Trigonometry Assignment C 1. The following is a graph of f(x) = 60(6) 20 . Find the maximum area of a

MCV4Ua Optional Exponential and Trigonometry Assignment C 1. The following is a graph of f(x) = 60(6) 20 . Find the maximum area of a rectangle in the first quadrant under this curve? 2. An irrigation channel is constructed by bending a sheet of metal that is 5m wide, as shown in the diagram. 2m 2m X X 1m What angle x will maximize the cross-sectional area (and thus the capacity) of the channel? What is the maximum area? (hint: after finding derivative, use the pythagorean identity to write in terms of cos)

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