A rectangle is bounded by the x- and y-axes and the graph of y = (6 – x)/2 (see figure). What length (x) and width (y) should the rectangle have so that its area is a maximum? y = 5 4 + 6-1 2+ (x, y) 2 3 4 5 6 -1-

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 50E: The y-axis along with the graphs of y=-2x+7 and y=x+2 encloses a triangular region. Find the area of...
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A rectangle is bounded by the x- and y-axes and the graph of y = (6 – x)/2 (see figure). What length (x) and width (y) should the rectangle have so that its area is a maximum?
v =
6-x
y =
2
(х, у)
1
6.
-1+
Transcribed Image Text:A rectangle is bounded by the x- and y-axes and the graph of y = (6 – x)/2 (see figure). What length (x) and width (y) should the rectangle have so that its area is a maximum? v = 6-x y = 2 (х, у) 1 6. -1+
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