e” was very happy as he was going to six flags. He pictured the perfect roller coaster and wondered what the equation of such a perfect roller coaster would be. At six flags, he discovered the following equation: h(d) = d3-7d2+8d+1 where h (d) represents the vertical height above the ground and d represents the horizontal distance the roller coaster has travelled. Using calculus methods only, sketch the function by stating all the following:

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A:

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A:

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