A window has a rectangle form, and finish in the top with an equilateral triangle. The window perimeter is 3 meters. Which is the longitude of the rectangle for a maximum area of the window? Also, determinate the value of the area:Establish the representative variables of longitude of each side of the window, based on the following draw:Define the function or the equation of the area.Determinate the principal or auxiliar formulas that involve the problem.Determinate the critical value(s) of the function.Apply the criteria theorem of the first and second derivatives to determine the existence of the maximum and minimum of the functions.

Given: The perimeter of the window is 3 m. Let x be the horizontal width of the rectangle. Thus,…

Answered: A window has a rectangle form, and…

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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A window has a rectangle form, and finish in the top with an equilateral triangle. The window perimeter is 3 meters. Which is the longitude of the rectangle for a maximum area of the window? Also, determinate the value of the area:

Establish the representative variables of longitude of each side of the window, based on the following draw:

Define the function or the equation of the area.
Determinate the principal or auxiliar formulas that involve the problem.
Determinate the critical value(s) of the function.
Apply the criteria theorem of the first and second derivatives to determine the existence of the maximum and minimum of the functions.

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