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)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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