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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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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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