Monday

March 30, 2015

March 30, 2015

Posted by **Sarah** on Sunday, November 13, 2011 at 7:38pm.

- calculus -
**Reiny**, Sunday, November 13, 2011 at 8:49pmLet the point of contact of the rectangle in the first quadrant be (x,y)

then the base of the rectangle is 2x and the height is y

Area = 2xy

= 2x(2-x^2)

= 4x - 2x^3

d(Area)/dx = 4 - 6x^2

= 0 for a max of Area

6x^2 = 4

x^2 = 4/6

x = ±2/6

then height = y = 2 - 4/6 = 4/3

= 1.33 to the nearest hundreth

**Answer this Question**

**Related Questions**

calculus - A rectangle with its base on the x-axis is to be inscribed under the ...

Calculus - Hello, could someone please help me with this problem? I'm a little ...

Calculus - A rectangle is inscribed with its base on the x-axis and its upper ...

Calculus - A rectangle is inscribed with its base on the x-axis and its upper ...

Calculus :) - A rectangle is inscribed with its base on the x-axis and its upper...

Calculus - I have to find the area of the largest possible rectangle that can be...

math analysis - A rectangle with its base on the x axis is to be inscribed under...

Calculus - A rectangle is inscribed with its base on the x-axis and its upper ...

Calculus - A rectangle is inscribed with its base on the x -axis and its upper ...

Calculus - A rectangle is inscribed with its base on the x axis and its upper ...