What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 3 − x2?

(C) 4

Step-by-step explanation:

Let us first construct a rectangle ABCD, in which A is the point at lower right hand corner and B,C,D are the points marked according to A,

Now, let A=

B=,

C=

and D=

Then the area of rectangle is given as: BA×AD

=

A=

Taking the derivative with respect to p, we have

=

Now, =0

⇒=0

⇒

⇒

Since, wehav eto find the greater area, therefore we will take p=1.

Now, substituting the value of p in (A), we have

Greater area= A==

10

step-by-step explanation: