Question: Let f (x, y) = (x^2 4y^2). (a) Parameterize the level curve f (x, y) = 4. (b) Find a vector tangent to the level

Let f (x, y) = (x^2 4y^2). (a) Parameterize the level curve f (x, y) = 4. (b) Find a vector tangent to the level curve f (x, y) = 4 at the point (23, 1). (c) Find f (23, 1) and show that it's perpendicular to the tangent vector from part (b). This demonstrates that the gradient is perpendicular to the level curve of f at the point (23, 1).

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