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Highway Design la order to build a highway, it is necessary to fill a section of a v alley where the grades (slopes) of the sides are 9% and 6% (see figure). The top of the filled region will have the shape of a parabolic arc that is tangent to the two slopes at the points A and B. The horizontal distances from A to the y axis and from R to the y axis are both 500 feet.
(a) Find the coordinates of A and A
(b) Hind a quadratic function
region.
(c) Construct a table giving the depths d of the fill for
(d) What will be the lowest point on the completed highway? Will it be directly over the point where the two hillsides come together'.'
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Calculus: Early Transcendental Functions (MindTap Course List)
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