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Find the Differential of the Function f(x,y)=x2+y2f ( x , y ) = \sqrt { x ^ { 2 } + y ^ { 2 } }

Question 35

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Find the differential of the function f(x,y)=x2+y2f ( x , y ) = \sqrt { x ^ { 2 } + y ^ { 2 } } at the point (3, 4).
A point is measured to be 3 units from the y-axis with an error of ±0.01 and 4 units from the x-axis with an error of ±0.02.Approximate the error in computing its distance from the origin.

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