db d angent plane to x²y + y²z = 8 at (2,1,4). Find the linear approximation for each function at he point of tangency.

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Find the point on the graph of f(x, y) = 4 + x² - y² that has a tangent plane parallel to the
tangent plane to x²y + y²z = 8 at (2,1,4). Find the linear approximation for each function at
the point of tangency.
Transcribed Image Text:Find the point on the graph of f(x, y) = 4 + x² - y² that has a tangent plane parallel to the tangent plane to x²y + y²z = 8 at (2,1,4). Find the linear approximation for each function at the point of tangency.
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