Maximum Area A rancher has 300 feet of fencing to enclose two adjacent pastures (see figure). (a)
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Maximum Area A rancher has 300 feet of fencing to enclose two adjacent pastures (see figure).
(a) Write the total area A of the two pastures as a function of x. What is the domain of A?
(b) Graph the area function and estimate the dimensions that yield the maximum amount of area for the pastures.
(c) Find the dimensions that yield the maximum amount of area
for the pastures by completing the square.
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X y X y X
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