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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 37E
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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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