A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=7−x2y=7−x2. What are the dimensions of such a rectangle with the greatest possible area of its height?
A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=7−x2y=7−x2. What are the dimensions of such a rectangle with the greatest possible area of its height?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....
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a) A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=7−x2y=7−x2. What are the dimensions of such a rectangle with the greatest possible area of its height?
b) A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 4. What are the dimensions of such a cylinder which has maximum volume of its height and radius?
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