A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by y = −0.0625x 2 + 1.25x + 5.75, where x and y are measured in feet. a) Will the truck fit under the arch? Explain. b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch? c) What is the maximum height that a truck 7 feet wide can have and still make it under the arch?
A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by y = −0.0625x 2 + 1.25x + 5.75, where x and y are measured in feet. a) Will the truck fit under the arch? Explain. b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch? c) What is the maximum height that a truck 7 feet wide can have and still make it under the arch?
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
A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by
y = −0.0625x
2 + 1.25x + 5.75,
where x and y are measured in feet.
a) Will the truck fit under the arch? Explain.
b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?
c) What is the maximum height that a truck 7 feet wide can have and still make it under the arch?
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