document.write( "Question 1058652: A rectangular gutter open at the top is to be made from a galvanized steel that is 36 inches wide by turning the sides up. Express the area of the cross section as a finction of the height, h, of the gutter, and find the domain \n" ); document.write( "
Algebra.Com's Answer #673801 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular gutter open at the top is to be made from a galvanized steel that is 36 inches wide by turning the sides up. \n" ); document.write( " Express the area of the cross section as a function of the height, h, of the gutter, and find the domain \n" ); document.write( ": \n" ); document.write( "looks like this \n" ); document.write( "h|__|h \n" ); document.write( ": \n" ); document.write( "Width = (36-2h) \n" ); document.write( ": \n" ); document.write( "Area = height * width \n" ); document.write( "f(h) = h(36-2h) \n" ); document.write( "f(h) = 36h - 2h^2 \n" ); document.write( "Find the h when \n" ); document.write( "36h - 2h^2 = 0 \n" ); document.write( "divide both sides by 2h \n" ); document.write( "18 - h = 0 \n" ); document.write( "h = 18, therefore h < 18 \n" ); document.write( ": \n" ); document.write( "Domain: >0 and < 18 \n" ); document.write( " |