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Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (6, 6, 3) and use it to approximate the number 6.022 + 5.972 + 2.992 .
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Dec 28, 2018
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Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (6, 6, 3) and use it to approximate the number 6.022 + 5.972 + 2.992 .
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Near the point (6, 6, 3), we have the approximation
where the subscripted
's refer to the corresponding partial derivatives.
So
Compare to more precise value,
Frank Lee
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Jan 3, 2019
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