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## Homework Statement

I need to sketch level curves of [itex]T(x, y) = 50(1 + x^2 + 3y^2)^{-1}[/itex] and [itex] V(x, y) = \sqrt{1 - 9x^2 -4y^2}[/itex]

## The Attempt at a Solution

Is it correct that they are ellipses?

ie [tex] 1 = \frac{9}{1 - c^2} x^2 + \frac{4}{1 - c^2}y^2[/itex]

for V(x, y) = c = constant

I feel so rusty going back to school :s

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