6. What is the largest possible area of a rectangle inscribed in the region bounded by the parabola y = x² and the line y = 4, where one side of the rectangle lies on the line y = 4 and two vertices of the rectangle are on the parabola y = x² (see one of the possible inscribed rectangle in the picture below)? y = 4 y = x2

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
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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6. What is the largest possible area of a rectangle inscribed in the region bounded by the parabola
y = x? and the line y = 4, where one side of the rectangle lies on the line y = 4 and two vertices
of the rectangle are on the parabola y = x² (see one of the possible inscribed rectangle in the
picture below)?
y = 4
y = x?
Transcribed Image Text:6. What is the largest possible area of a rectangle inscribed in the region bounded by the parabola y = x? and the line y = 4, where one side of the rectangle lies on the line y = 4 and two vertices of the rectangle are on the parabola y = x² (see one of the possible inscribed rectangle in the picture below)? y = 4 y = x?
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