A rancher has a rectangular piece of sheet metal that is 20 inches wide by 10 feet long. He plans to fold the metal into a three-sided channel and wveld two other sheets of metal to the ends to form a watering trough 10 ft long. How should he fold the metal in order to maximize the volume of the resulting trough? What is the maximum volume? (HINT: express a in terms of x; note a is given in inches.) b=10H b=10円 120inch.
A rancher has a rectangular piece of sheet metal that is 20 inches wide by 10 feet long. He plans to fold the metal into a three-sided channel and wveld two other sheets of metal to the ends to form a watering trough 10 ft long. How should he fold the metal in order to maximize the volume of the resulting trough? What is the maximum volume? (HINT: express a in terms of x; note a is given in inches.) b=10H b=10円 120inch.
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:A rancher has a rectangular piece of sheet metal that is 20 inches wide by 10 feet long. He plans to fold
the metal into a three-sided channel and wveld two other sheets of metal to the ends to form a watering
trough 10 ft long. How should he fold the metal in order to maximize the volume of the resulting
trough? What is the maximum volume? (HINT: express a in terms of x; note a is given in inches.)
b=10H
b=10円
120inch.
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