Question

In the first quadrant representative rectangle so that has a vertex at the origin and the opposite vertex on the parabola y = x ^ 2 +3. Determine the dimensions of the rectangle so that its area is maximized.

Answer 1

@hartnn
@hba

Answer 2

so the rectangle has dimension of \(x \times (x^2+3)\)
so, your area \(A =x \times (x^2+3)=x^3+3x\)
can you maximize this ?
differentiate it and set A'=0 to get values of 'x'