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An enclosure is to be built adjoining a barn, as in the diagram. The walls of the barn meet at 135 °, and 117 metres of fencing is available for the enclosure, so that x +y= 117 where x and y are as shown in e: 2019/4/18 F47:08 1: 2020/2/7 T41:06 Enclosure¡Barn y 135° Barn i. Show that the shaded area of the enclosure in square metres is given by A=117x --x² ii. Show that the largest area of the enclosure occurs when y = 2x. %3D

An enclosure is to be built adjoining a barn, as in the diagram. The walls of the barn meet at 135 °, and 117 metres of fencing is available for the enclosure, so that x +y= 117 where x and y are as shown in e: 2019/4/18 F47:08 1: 2020/2/7 T41:06 Enclosure¡Barn y 135° Barn i. Show that the shaded area of the enclosure in square metres is given by A=117x --x² ii. Show that the largest area of the enclosure occurs when y = 2x. %3D

Calculus: Early Transcendentals
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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An enclosure is to be built adjoining a barn, as in the diagram. The walls of the barn meet at 135 °, and 117 metres of fencing is available for the enclosure, so that x +y= 117 where x and y are as shown in e: 2019/4/18 F47:08 1: 2020/2/7 T41:06 Enclosure¡Barn y 135° Barn i. Show that the shaded area of the enclosure in square metres is given by A=117x --x² ii. Show that the largest area of the enclosure occurs when y = 2x. %3D
Transcribed Image Text:An enclosure is to be built adjoining a barn, as in the diagram. The walls of the barn meet at 135 °, and 117 metres of fencing is available for the enclosure, so that x +y= 117 where x and y are as shown in e: 2019/4/18 F47:08 1: 2020/2/7 T41:06 Enclosure¡Barn y 135° Barn i. Show that the shaded area of the enclosure in square metres is given by A=117x --x² ii. Show that the largest area of the enclosure occurs when y = 2x. %3D
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