[See Solution] A barn is 100 feet long and 40 feet wide. A cross section of the barn’s roof is the inverted caternary yquad = 31quad - 10 (e^^ x/_20quad +
Question: A barn is 100 feet long and 40 feet wide. A cross section of the barn’s roof is the inverted caternary \(y\quad =\quad 31\quad -\quad 10\,\left( {{e}^{{}^{\,x}/{}_{20}}}\quad +\quad {{e}^{{}^{\,-\,x}/{}_{20}}} \right)\) . Find the number of square feet of roofing on the barn. See the figure.
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