The plane intersects the paraboloid in an ellipse. Find the points on the ellipse nearest to and farthest from the origin.
So is the goal here to just minimize and then maximize the distance formula with the constraints of and ?
Hello, davesface!
The plane intersects the paraboloid in an ellipse.
Find the points on the ellipse nearest to and farthest from the origin.
So is the goal to minimize and maximize the distance formula
with the constraints of and ? . . . . Yes!
We have: .
Find the five partial derivatives, equate to zero, and solve the system.
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. . . .
I'll wait in the car . . .
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