Use partial derivatives to find the line perpendicular to the level curve.?

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Answer 1

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When z = sqrt(3), you have x^2 + y^2 = 5.

The level curve is a circle whose radius is around 2.24.

I see no need for partial derivatives, a line perpendicular to a circle is a radius. At (-2,1) the equation of the radius is x + 2y = 0.

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