Write down the equation of the plane tangent

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Reference no: EM131003445

Write down the equation of the plane tangent to the surface z = f(x, y) = y³x^1/2 above a general point (a, b).

Find the differential of the function f(x, y) = e^{-x^2+1} at, the point (1, 4) and use it to estimate the variation in f(x, y) as x increases by 0.01 and y decreases by 0.02.

Reference no: EM131003445

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