document.write( "Question 1146559: A rectangle is inscribed in a circle of radius 6 ​(see the​ figure). Let P=(x,y) be the point in quadrant I that is a vertex of the rectangle and is on the circle.\r
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\n" ); document.write( "​(a) Express the area A of the rectangle as a function of x.
\n" ); document.write( "i got the answer 4x(squareroot(36-x^2)
\n" ); document.write( "b. Express the perimeter p of the rectangle as a function of x.
\n" ); document.write( "i got the answer 4(x+squareroot(36-x^2)
\n" ); document.write( "c. Graph A equals​A(x). For what value of x is A​ largest?
\n" ); document.write( "how do i graph it so i can get the answer.\r
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Algebra.Com's Answer #767837 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Take your value for part (a) which is\r\n" );
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document.write( "We could take the derivative of that and set that derivative equal\r\n" );
document.write( "to 0.  However that would be very time-consuming.  It would be much\r\n" );
document.write( "easier to square both sides and find the value of x that maximizes\r\n" );
document.write( "the value of the SQUARE of the area A, because if A² is the largest \r\n" );
document.write( "it can be, then A is also the largest it can b.\r\n" );
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document.write( "\"matrix%281%2C4%2CLet%2CS%28x%29%2C%22%22=%22%22%2C%28A%28x%29%5E%22%22%29%5E2%29\"\r\n" );
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document.write( "We find the y value when x=3√3:\r\n" );
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document.write( "So the area is greatest when the inscribed rectangle is a square, when\r\n" );
document.write( "the upper right hand corner is the point P(3√2, 3√2).\r\n" );
document.write( "(The 0 value is when the area is least, when the rectangle degenerates\r\n" );
document.write( "into just a line segment, whose area is 0 because its width is 0)\r\n" );
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document.write( "I think this is the graph your teacher wants.  But if he/she wants\r\n" );
document.write( "the graph of \r\n" );
document.write( "\"matrix%281%2C3%2CA%28x%29%2C%22%22=%22%22%2C4x%2Asqrt%2836-x%5E2%29%29\", \r\n" );
document.write( "then it is the graph below whose maximum point is (3√2, 72).  To \r\n" );
document.write( "plot it, you can only substitute values x=0 through 6.\r\n" );
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document.write( "Edwin
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