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One Fine Day You Take a Hike Up a Mountain y=3(x312x2+48x+36)y=3\left(x^{3}-12 x^{2}+48 x+36\right)

Question 97

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One fine day you take a hike up a mountain path.Using your trusty map you have determined that the path is approximately in the shape of the curve y=3(x312x2+48x+36)y=3\left(x^{3}-12 x^{2}+48 x+36\right) .Here y is the elevation in feet above sea level and x is the horizontal distance in miles you have traveled, but your map only shows the path for 7 miles, horizontal distance.How many feet above sea level are you when you start your hike?

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