Find the largest possible area of a rectangle inscribed in the region bounded by the half- hyperbola y^2 − x^2 = 4, y > 0, and the line y = 8, where one side of the rectangle lies on the line y = 8 and two vertices of the rectangle are on the half-hyperbola y^2 − x^2 = 4 (see one of the possible inscribed rectangles in the picture below). (round answer to 2 decimal places)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 6ECP
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Find the largest possible area of a rectangle inscribed in the region bounded by the half- hyperbola y^2 − x^2 = 4, y > 0, and the line y = 8, where one side of the rectangle lies on the line y = 8 and two vertices of the rectangle are on the half-hyperbola y^2 − x^2 = 4 (see one of the possible inscribed rectangles in the picture below). (round answer to 2 decimal places)

y = 8
y² – x² = 4, y > 0
Transcribed Image Text:y = 8 y² – x² = 4, y > 0
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