00:01
In this question, we need to sketch the region which is bounded by the graph from x equals to zero to x is equals to two and then the graph we have to sketch of y equals to minus x square plus four y is equals to two x plus one.
00:21
So, let us see how we are going to do this.
00:25
This is our x and the y axis.
00:27
Here, this is given to be a downward parabola and this is a line.
00:36
Let us find out the point of intersection minus x square plus four equals to two x plus one we get x square plus two x minus three equals to zero that means x minus one and x plus three this is what we are going to get so x is equals to one and minus three is the point of intersection of these two curves.
01:06
So, first of all we have the line and then we have a parabola.
01:13
Let us draw the parabola first here.
01:15
So, this is the parabola and this vertex is at zero comma four and then we have the line which is cutting it at two points...