(4) If z = f(x, y), where x=rcos and y = r sin 0, find the following дz дz (b) (c) show that ar dz Ər 2 + 1 p2 дz 2 = дz Әт 2 + дz ду 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
(4) If z = f(x, y), where x=rcos and y=rsin 0, find the following
дz
дz
(a)
(c) show that
Ər
(b) ;
20
дz
Ər
2
+
1
r2
2
(38) ² =
дz
Әх
2
+
дz
ду
2
с
Transcribed Image Text:(4) If z = f(x, y), where x=rcos and y=rsin 0, find the following дz дz (a) (c) show that Ər (b) ; 20 дz Ər 2 + 1 r2 2 (38) ² = дz Әх 2 + дz ду 2 с
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