5. A Noman window has the shape of a rectangle surmounted by a semicircle, as shown in figure below. A Norman window with perimeter 30 ft is to be constructed. (a) Find a function that models the area of the window. (b) Find the dimensions of the window that admits the greatest amount of light.

5. A Noman window has the shape of a rectangle surmounted by a semicircle, as shown in figure below. A Norman window with perimeter 30 ft is to be constructed. (a) Find a function that models the area of the window. (b) Find the dimensions of the window that admits the greatest amount of light.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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How to solve 5 and 6?

5. A Norman window has the shape of a rectangle surmounted by a semicircle, as shown
in figure below. A Norman window with perimeter 30 ft is to be constructed.
(a) Find a function that models the area of the window.
(b) Find the dimensions of the window that admits the greatest amount of light.
An open box with a square base is to have a volume of 12 ft'.
(a) Find a function that models the surface arca of the box.
(b) Find the box dimensions that minimize the amount of material used.
6.
re to search
II

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