Let w(x, y, z) = √x2 + y2 + z² where x = -8ret, y = 2te' & z = ert. дw dw Әх ду дz Әх ду Oz Ər Ət ar ar'ar Calculate дw 9 & by first finding 2 2 ôt’ột & and using the chain rule. Ət

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Must be in terms of only r and t.

Question 10
Chain Rule (Multiple independent variables)
Calculate
Let w(x, y, z) = √x2 + y² + z2 where x = -8ret, y = 2te' & z = ert.
Әх ду
дх ду дz
др' др' др
"
Ət Ət
дw
Ər
дw
Ət
дw
Ər
(
&
>
дw
Ət
by first finding
Az
& and using the chain rule.
Ət
Transcribed Image Text:Question 10 Chain Rule (Multiple independent variables) Calculate Let w(x, y, z) = √x2 + y² + z2 where x = -8ret, y = 2te' & z = ert. Әх ду дх ду дz др' др' др " Ət Ət дw Ər дw Ət дw Ər ( & > дw Ət by first finding Az & and using the chain rule. Ət
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