00:01
Hi, in this question, this is the given figure.
00:04
We need to find the largest possible rectangle that can be formed between the line y equals 3 and y equals x square i .e parabola.
00:16
So, here first we need to mark these points.
00:19
This point can be written as x ,3 and this is x ,x square and this is minus x ,x square and this is minus x ,3.
00:30
So, here the distance between this can be written as x square minus 3 and here the distance between this as x plus x which is 2x.
00:45
So, that first we need to find the dimension between bd which is equal to square root of x square minus 3 the whole square plus x minus x the whole square which is equal to x square minus 3.
01:07
Next we need to find the distance between cd which is equal to square root of x square minus x square the whole square plus x minus minus x the whole square which is equal to square root of 4x square which is equal to 2x.
01:27
Next we need to find the area which is equal to dbd into dcd which is equal to x square minus 3 into 2x.
01:42
On multiplying we get 2x cube minus 6x.
01:45
We need to find the maximum area...