Solved: Highway Design A section of highway connecting two hillsides with grades of 6%
Chapter 4, Problem 76(choose chapter or problem)
Highway Design A section of highway connecting two hillsides with grades of 6% and 4% is to be built between two points that are separated by a horizontal distance of 2000 feet (see figure). At the point where the two hillsides come together, there is a 50-foot difference in elevation. (a) Design a section of highway connecting the hillsides modeled by the function At the points and the slope of the model must match the grade of the hillside. (b) Use a graphing utility to graph the model. (c) Use a graphing utility to graph the derivative of the model. (d) Determine the grade at the steepest part of the transitional section of the highway.
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