A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the figure below. A Norman winc with perimeter 30 ft is to be constructed. height (a) Find a function that models the area of the window. A(x) = (b) Find the dimensions of the window that admits the greatest amount of light. (Round your answers to one decima place.) ft X = ft height 745 Hase pe here to search DELL

A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the figure below. A Norman winc with perimeter 30 ft is to be constructed. height (a) Find a function that models the area of the window. A(x) = (b) Find the dimensions of the window that admits the greatest amount of light. (Round your answers to one decima place.) ft X = ft height 745 Hase pe here to search DELL

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.1: Quadratic Functions And Models

Problem 74E: Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary...

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Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). The perimeter of the window is 16 feet. (a) Write the area A of the window as a function of x. (b) What dimensions produce a window of maximum area?

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