z=x2+y2\displaystyle {z}=\sqrt{{{x}^{{2}}+{y}^{{2}}}}. Find the true difference in the function values from f(7,24) to (7.2,24.4)\displaystyle {\left({7.2},{24.4}\right)}.

Give z\displaystyle \triangle{z} to 6 decimal places and dz\displaystyle {\left.{d}{z}\right.} to 3 decimal places.

z\displaystyle \triangle{z} =  

dz\displaystyle {\left.{d}{z}\right.} =