document.write( "Question 43815This question is from textbook Algebra and trigonometry with analytic geometry
\n" ); document.write( ": A rectangle is placed under the parabolic arch given by f(x)=27-3x^2 by using a point (x,y) on the parabola. Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen. Ok so far this one has given me some trouble trying to work out. Came up with answer of f(x)= 6(27-3x^2) it this right. \n" ); document.write( "

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A rectangle is placed under the parabolic arch given by f(x)=27-3x^2 by using a point (x,y) on the parabola. Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen. Ok so far this one has given me some trouble trying to work out. Came up with answer of f(x)= 6(27-3x^2) it this right.\r
\n" ); document.write( "\n" ); document.write( "I assume you put this on a coordinate system; then chose a point (x,y)
\n" ); document.write( "on the parabola; then drew the rectangle symmetric to the y-axis.\r
\n" ); document.write( "\n" ); document.write( "The area of the rectangle = (2x)y
\n" ); document.write( "=2x(27-3x^2)
\n" ); document.write( "=54x-6x^3\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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