Calc III Ch13 Notes_Part20

Calc III Ch13 Notes_Part20 - flip,0” 3—D fix'y 2 has...

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Unformatted text preview: flip/,0” 3—D: fix, 'y-,_ 2) has continuous partial-s; n == ai + bjj + ck is the unity-sewn .1. D..f(x,y,z).= 9]” ,L 1571 4 6/ X 2’ z. 2.. Vf(.x.y.z) = 2f» 7' {6, ,L 3%.; 3' Duf(x’y§ 2).: vf(xi y'-'az).'u ”And the same properties-”of gradients (max inc/rise) apply. (SH-y) at (1, 1, —1) and the Ex: Find-the maximum rate of-chan-ge of fix, 32,2) 2 direction it occurs. ...
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