(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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(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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