A solar water heater is made from a long sheet of metal bent so that the cross sections are parabolic. A long tube of water is placed inside the curved surface so that the height of the tube is equal to the focal length of the parabolic cross section. In this way, water in the tube is exposed to maximum heat. 5 ft 4 ft a. Determine the focal length of the parabolic cross sections so that the engineer knows where to place the tube. b. Use a coordinate system with origin at the vertex of a parabolic cross section and write an equation of the parabola.
A solar water heater is made from a long sheet of metal bent so that the cross sections are parabolic. A long tube of water is placed inside the curved surface so that the height of the tube is equal to the focal length of the parabolic cross section. In this way, water in the tube is exposed to maximum heat. 5 ft 4 ft a. Determine the focal length of the parabolic cross sections so that the engineer knows where to place the tube. b. Use a coordinate system with origin at the vertex of a parabolic cross section and write an equation of the parabola.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A solar water heater is made from a long sheet of metal bent so that the cross sections are parabolic. A long tube of water
is placed inside the curved surface so that the height of the tube is equal to the focal length of the parabolic cross section.
In this way, water in the tube is exposed to maximum heat.
5 ft
4 ft
a. Determine the focal length of the parabolic cross sections so that the engineer knows where to place the tube.
b. Use a coordinate system with origin at the vertex of a parabolic cross section and write an equation of the parabola.
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