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Sagot :
The largest area of rectangle can be A= (11√11)/√2
What is area of rectangle?
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
Area = l × w. l = length. w = width.
Given:
y=11-x²
Consider,
x is the length of the base
y is the vertices on the curve (width)
As, the area of a rectangle with its base on the x-axis.
So, base =2x
Then Area of rectangle
A = 2x(11-x²)
Foe maximum area, dA/dx=0
dA/dx = 22-4x²
22-4x² =0
22=4x²
11/2 = x²
x=√(11/2)
Now, Put x=√(11/2) in area
A= 2*√(11/2) ( 11-11/2)
A= √22(11/2)
A= (11√11)/√2
Learn more about area of rectangle here:
https://brainly.com/question/8663941
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