Posted by Patrick on Thursday, November 1, 2012 at 1:23am.
Find the dimensions of the rectangle with the largest area that is inscribed inside the parabola y = 16 x^2 and the xaxis

calculus  Steve, Thursday, November 1, 2012 at 10:09am
since we want a rectangle, the top side to be parallel to the bottom side. So, the rectangle is centered over (0,0).
Let the base of the rectangle extend from x to x
The area is thus
a = 2xy = 2x(16x^2)
da/dx = 32  6x^2
da/dx=0 when x = 4/√3
the rectangle is thus 8/√3 by 32/3
Answer This Question
Related Questions
 Calculus  Hello, could someone please help me with this problem? I'm a little ...
 Calculus  A rectangle is inscribed with its base on the xaxis 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  A rectangle is inscribed with its base on the xaxis and its upper ...
 Calculus  A rectangle is inscribed with its base on the xaxis and its upper ...
 Calculus  A rectangle is inscribed with its base on the xaxis and its upper ...
 Calculus :)  A rectangle is inscribed with its base on the xaxis and its upper...
 Calculus  Find the dimensions of the rectangle of largest area that has its ...
 calculus  A rectangle is inscribed with its base on the xaxis and its upper ...
More Related Questions