document.write( "Question 1051966: Sketch the graph of the difference in volume V of two boxes with dimensions x,x,1 and x,8,1. What is the value of x that will make V a minimum? \n" ); document.write( "
Algebra.Com's Answer #667396 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Sketch the graph of the difference in volume V of two boxes with dimensions x,x,1 and x,8,1. What is the value of x that will make V a minimum?
\n" ); document.write( "-----------
\n" ); document.write( "Volume = the product of the 3 dimensions.
\n" ); document.write( "---
\n" ); document.write( "Vol1 = x^2
\n" ); document.write( "Vol2 = 8x
\n" ); document.write( "Difference = x^2-8x or 8x-x^2
\n" ); document.write( "---
\n" ); document.write( "x^2-8x = 0
\n" ); document.write( "x = 0 --> not a box
\n" ); document.write( "x = 8 --> the 2 volumes are equal.
\n" ); document.write( "-------
\n" ); document.write( "To graph it:
\n" ); document.write( "y = x^2 - 8x
\n" ); document.write( "Pick values for x and find y.
\n" ); document.write( "Plot the points, draw a curve thru them.
\n" ); document.write( "---
\n" ); document.write( "dl the FREE graph software at
\n" ); document.write( "www.padowan.dk
\n" ); document.write( "---
\n" ); document.write( "Use Insert, enter x^2 - 8x
\n" ); document.write( "Pick your color.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );