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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Question
Gateway Arch The Gateway Arch in St. Louis is often
mistaken to be parabolic in shape. In fact, it is a catenary,
which has a more complicated formula than a parabola. The
Arch is 630 feet high and 630 feet wide at its base.
(a) Find the equation of a parabola with the same
dimensions. Let x equal the horizontal distance from the
center of the arch.
(b) The table below gives the height of the Arch at various
widths; find the corresponding heights for the parabola
found in (a).
(c) Do the data support the notion that the Arch is in the
shape of a parabola?
Source: gatewayarch.com
Transcribed Image Text:Width (ft)
Height (ft)
567
100
478
312.5
308
525
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