The entrance to a tunnel is in the shape of a semiellipse over a 24-ft by 8-ft rectangular opening. The height at the center of the opening is 14 ft. 6 ft 8 ft 24 ft a. Determine the height of the opening at a point 6 ft from the edge of the tunnel. Round to 1 decimal place. b. Can a 10-ft-high truck pass through the opening if the truck's outer wheel passes at a point 3 ft from the edge of the tunnel? C. Set up a coordinate system with the origin placed on the ground in the center of the roadway. Write a function that represents the height of the opening h(x) (in ft) as a function of the horizontal distance x (in ft) from the center.
The entrance to a tunnel is in the shape of a semiellipse over a 24-ft by 8-ft rectangular opening. The height at the center of the opening is 14 ft. 6 ft 8 ft 24 ft a. Determine the height of the opening at a point 6 ft from the edge of the tunnel. Round to 1 decimal place. b. Can a 10-ft-high truck pass through the opening if the truck's outer wheel passes at a point 3 ft from the edge of the tunnel? C. Set up a coordinate system with the origin placed on the ground in the center of the roadway. Write a function that represents the height of the opening h(x) (in ft) as a function of the horizontal distance x (in ft) from the center.
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:The entrance to a tunnel is in the shape of a semiellipse over a 24-ft by 8-ft rectangular opening. The height at the center
of the opening is 14 ft.
6 ft
8 ft
24 ft
a. Determine the height of the opening at a point 6 ft from the edge of the tunnel. Round to 1 decimal place.
b. Can a 10-ft-high truck pass through the opening if the truck's outer wheel passes at a point 3 ft from the edge of the
tunnel?
C. Set up a coordinate system with the origin placed on the ground in the center of the roadway. Write a function that
represents the height of the opening h(x) (in ft) as a function of the horizontal distance x (in ft) from the center.
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