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28. Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y = 12 - x²

28. Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y = 12 - x²

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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28. 29. 30. Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y = 12 - x² A 10 ft tall fence runs parallel to the wall of a house at a distance of 4 ft. Find the length of the shortest ladder that extends from the ground, over the fence, to the house. Assume the vertical wall of the house and the horizontal ground extend as far as necessary. A cone is constructed by cutting a sector from a circular sheet of metal with radius 20 in. The cut sheet is then folded up and welded. Find the radius of the cone with maximum volume that can be formed that way. 900
Transcribed Image Text:28. 29. 30. Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y = 12 - x² A 10 ft tall fence runs parallel to the wall of a house at a distance of 4 ft. Find the length of the shortest ladder that extends from the ground, over the fence, to the house. Assume the vertical wall of the house and the horizontal ground extend as far as necessary. A cone is constructed by cutting a sector from a circular sheet of metal with radius 20 in. The cut sheet is then folded up and welded. Find the radius of the cone with maximum volume that can be formed that way. 900
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To find the dimensions of the rectangle of largest area that has its base on the x‐axis and its other two vertices above  the x‐axis and lying on the parabola y=12-x2.

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