document.write( "Question 516578: A cable TV receiving dish is in the shape of a paraboloid of revolution. Find the location of the receiver, which is placed at the focus, if the dish is 6 feet across at its opening and 2 feet deep. Sketch the paraboloid. \n" ); document.write( "
Algebra.Com's Answer #344423 by lwsshak3(11628) ![]() You can put this solution on YOUR website! A cable TV receiving dish is in the shape of a paraboloid of revolution. Find the location of the receiver, which is placed at the focus, if the dish is 6 feet across at its opening and 2 feet deep. Sketch the paraboloid. \n" ); document.write( "** \n" ); document.write( "I don't have the means to draw a sketch, but I can describe the parabola for you: \n" ); document.write( "Draw a parabola which opens upwards with the vertex at (0,0), one end at (-3,2) and the other at (3,2). \n" ); document.write( "Equation of the parabola: x^2=4py \n" ); document.write( "Location of the receiver will be p-ft from the vertex on the axis of symmetry, x=0. \n" ); document.write( "Using one of the points (3,2) to solve for p. \n" ); document.write( "3^2=4p*2 \n" ); document.write( "9=8p \n" ); document.write( "p=9/8 ft \n" ); document.write( "ans: \n" ); document.write( "The receiver will be placed at 9/8 ft above the vertex on the axis of symmetry. \n" ); document.write( " |