Question

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

Answer 1

did you draw a nice picture?

Answer 2

i mean of \(y=3-x^2\) ?

Answer 3

above the x axis only
you know what it looks like?

Answer 4

yup

Answer 5

I think that we have to maximize this function:
\[\Large f\left( x \right) = 2x\left( {3 - {x^2}} \right)\]
since we have this drawing: