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Use total differential to approximate the Charge is z= xy^2 from its value at (0,5,1) to its value at (0.503, 1.004). Compare the magnitude

Use total differential to approximate the Charge is z= xy^2 from its value at (0,5,1) to its value at (0.503, 1.004). Compare the magnitude of the error is this approximation with the distance between the point (0.5, 1) and (0.503, 1.004).

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