SOLUTION: Consider the ellipse x^2 + 2y^2 = 16. Find the maximum value of the product xy on the ellipse.
Algebra.Com
Question 883874: Consider the ellipse x^2 + 2y^2 = 16. Find the maximum value of the product xy on the ellipse.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Substitute,
Take the derivative of z with respect to y and set it equal to zero.
and
Then,
So,
RELATED QUESTIONS
Consider all the points in the plane that solve the equation x^2 + 2y^2 = 16. Find the... (answered by Fombitz)
Consider all the points in the plane that solve the equation x^2 + 2y^2 = 16. Find the... (answered by KMST)
Find the maximum value for f(x,y)=x+y on the ellipse {{{4x^2+9y^2=36}}}
(answered by josgarithmetic)
Consider the ellipse 49 x^2 + 1 y^2 = 4. (answered by tommyt3rd)
find the foci of the ellipse with the equation:
x^2\16 +... (answered by ewatrrr)
Find the foci of the ellipse whose equation is (y^2/16) + (x^2/12) =... (answered by venugopalramana)
Use the rotation formulas to rotate the ellipse to standardized form.
Ellipse:
{{{... (answered by Edwin McCravy)
find foci of the ellipse... (answered by Gogonati)
consider the graph of 2x^2+3y^2=4(which is an ellipse).Find its x- and... (answered by josgarithmetic)