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To calculate:
The dimensions of Norman window
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Answer to Problem 16AYU
The dimensions of Norman window are:
Length:
Height:
Explanation of Solution
Given:
Formula used:
The perimeter of the window is given by the following expression:
Where,
Sides of rectangle are
The area of the window is given by the following expression:
Calculation:
The perimeter of the window is calculated as:
Now, the area of the window is calculated as:
Take a derivative of eq. (2):
Put:
Now, the variable value of
Therefore, the dimensions of the Norman windows to allow the maximum light are:
Length:
Height:
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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