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The Gateway Arch in St. Louis was constructed using the equation y = 693.8597 – 68.6772 cosh(0.0100333x) for the central curve of the arch, where x and y are measured in feet and – 299.2ft < x < 299.2ft . Write an integral for the length of the Arch's structure.

The Gateway Arch in St. Louis was constructed using the equation y = 693.8597 – 68.6772 cosh(0.0100333x) for the central curve of the arch, where x and y are measured in feet and – 299.2ft < x < 299.2ft . Write an integral for the length of the Arch's structure.

Calculus: Early Transcendentals
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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The Gateway Arch in St. Louis was constructed using the equation \( y = 693.8597 - 68.6772 \cosh(0.0100333x) \) for the central curve of the arch, where \( x \) and \( y \) are measured in feet and \(-299.2 \, \text{ft} < x < 299.2 \, \text{ft} \). Write an integral for the length of the Arch’s structure.
Transcribed Image Text:The Gateway Arch in St. Louis was constructed using the equation \( y = 693.8597 - 68.6772 \cosh(0.0100333x) \) for the central curve of the arch, where \( x \) and \( y \) are measured in feet and \(-299.2 \, \text{ft} < x < 299.2 \, \text{ft} \). Write an integral for the length of the Arch’s structure.
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