Question

ROAD DESIGN Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road that is 32 feet wide is 0.4 foot higher in the center than it is on the sides (see figure). (a) Find an equation of the parabola that models the road surface. (Assume that the origin is at the center of the road.) (b) How far from the center of the road is the road surface 0.1 foot lower than in the middle?

Name: road design roads are often designed with parabolic surfaces to allow rain to drain off a particular road that is 32 feet wide is 04 foot higher in the center than it is on the sides see figure a find
Uploaded: 2021-08-20T14:47:18-08:00
Duration: 3 min 13 s
Channel: Donald Albin
Description: road design roads are often designed with parabolic surfaces to allow rain to drain off a particular road that is 32 feet wide is 04 foot higher in the center than it is on the sides see figure a find

          ROAD DESIGN Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road that is 32 feet wide is 0.4 foot higher in the center than it is on the sides (see figure).

(a)  Find an equation of the parabola that models the road surface. (Assume that the origin is at the center of the road.)

(b)  How far from the center of the road is the road surface 0.1 foot lower than in the middle?

Added by Patrick L.

Precalculus with Limits

Ron Larson 2nd Edition

Chapter 10

Instant Answer

Solved by Expert Donald Albin

08/20/2021

Step 1

We are given that the road is 32 feet wide and 0.4 feet higher in the center than on the sides. We need to find the equation of the parabola that models the road surface and the distance from the center where the road surface is 0.1 feet lower than in the middle. Show more…

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ROAD DESIGN Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road that is 32 feet wide is 0.4 foot higher in the center than it is on the sides (see figure). (a) Find an equation of the parabola that models the road surface. (Assume that the origin is at the center of the road.) (b) How far from the center of the road is the road surface 0.1 foot lower than in the middle?