document.write( "Question 123214This question is from textbook college algebra
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document.write( ": a rancher has 360 yds of fencing with which to enclose two adjacent rectangular corrals- one for sheep and one for cows. A river forms one side - suppose the width of each corral is x yards \r
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document.write( "a- express the total area of the two corrals as a function of x
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document.write( "b- find the domain of the function
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document.write( "c- using the graph if the function shown below determine the dimensions that yield the maximum area\r
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document.write( "60, 10,800 \n" );
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Algebra.Com's Answer #90548 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rancher has 360 yds of fencing with which to enclose two adjacent rectangular corrals- one for sheep and one for cows. A river forms one side - suppose the width of each corral is x yards \n" ); document.write( ": \n" ); document.write( "Find the length (L) in terms of x: (width is given as x) \n" ); document.write( "L + 3x = 360 \n" ); document.write( "L = (360 - 3x) \n" ); document.write( ": \n" ); document.write( "a- express the total area of the two corrals as a function of x \n" ); document.write( "A = x(360-3x) \n" ); document.write( "A = 360x - 3x^2 \n" ); document.write( ": \n" ); document.write( "b- find the domain of the function \n" ); document.write( "The domain in this application would only the values of x where y is positive \n" ); document.write( " 0 to the x intercept which is 120 \n" ); document.write( ": \n" ); document.write( "c- using the graph of the function shown below determine the dimensions that yield the maximum area \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "the graph indicates that max area occurs when x = 60 \n" ); document.write( "Find the length: \n" ); document.write( "L = 360 - 3(60) \n" ); document.write( "L = 360 - 180 \n" ); document.write( "L = 180 \n" ); document.write( ": \n" ); document.write( "Dimensions are 180 by 60 for max area \n" ); document.write( " |