The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equationy= 211.49 - 20.96 cosh 0.03291765xfor the central curve of the arch, where x and y are in meters and Ixl s 91.20.(a) Graph the central curve.2002001501501001005050100-505010010050502002001501501001005050100-5050100100-505010(b) What is the height of the arch at its center? (Round your answer to two decimal places.)(c) At what points is the height 30 m? (Round your answers to two decimal places.)(X, y) -(smaller x-value)(x, y) -(larger x-value)(d) What is the slope of the arch at the points in part (c)? (Round your answers to one decimal place.)(at the point with smaller value)(at the point with larger x-value)

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The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation y- 211.49 - 20.96 cosh 0.03291765x for the central curve of the arch, where x and y are in meters and Ixl s 91.20. (a) Graph the central curve. 200 200 150 150 100 100 50 50 100 -50 50 100 100 50 200 200 150 150 100 100 50 50 100 -50 50 100 100 -50 50 (b) What is the height of the arch at its center? (Round your answer to two decimal places.) m (c) At what points is the height 30 m? (Round your answers to two decimal places.) (x. ) - ( )(amaller x-value) (K, ) - ( (larger x-value) (d) What is the slope of the arch at the points in part (c)? (Round your answers to one decimal place.) (at the point with smaller x-value) (at the point with larger -value)

The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation y- 211.49 - 20.96 cosh 0.03291765x for the central curve of the arch, where x and y are in meters and Ixl s 91.20. (a) Graph the central curve. 200 200 150 150 100 100 50 50 100 -50 50 100 100 50 200 200 150 150 100 100 50 50 100 -50 50 100 100 -50 50 (b) What is the height of the arch at its center? (Round your answer to two decimal places.) m (c) At what points is the height 30 m? (Round your answers to two decimal places.) (x. ) - ( )(amaller x-value) (K, ) - ( (larger x-value) (d) What is the slope of the arch at the points in part (c)? (Round your answers to one decimal place.) (at the point with smaller x-value) (at the point with larger -value)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation
y= 211.49 - 20.96 cosh 0.03291765x
for the central curve of the arch, where x and y are in meters and Ixl s 91.20.
(a) Graph the central curve.
200
200
150
150
100
100
50
50
100
-50
50
100
100
50
50
200
200
150
150
100
100
50
50
100
-50
50
100
100
-50
50
10
(b) What is the height of the arch at its center? (Round your answer to two decimal places.)
(c) At what points is the height 30 m? (Round your answers to two decimal places.)
(X, y) -
(smaller x-value)
(x, y) -
(larger x-value)
(d) What is the slope of the arch at the points in part (c)? (Round your answers to one decimal place.)
(at the point with smaller value)
(at the point with larger x-value)

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