an ellipse has an equation of 224x^2 +400y^2=90000. what is the maximum area of a rectangle that can be inscribe in the ellipse? what is the altitude of an isosceles triangle with vertex at (0,15) that can be inscribed in the ellipse if the area of triangle is maximum.

Question

amistre64 · Answer

we have a constraint, and we should know a function to min/max.

amistre64 · Answer

Lagrange multiplier should be simple to use for this

anonymous · Answer

can u show me the answer for this problem....

amistre64 · Answer

f = xy   g = 224x^2 + 400y^2 - 90000

take partials, and use lambda as the multipier

Fx = L Gx
Fy = L Gy

solve for x and y in terms if L and substitute them into g, to solve for L