Q.1B) If w = f(u,v) where u = tan"12 &v=In(x² + y²), the show that: dw Х- +- дх дw dw <-2- ду ду

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Q.IB) If w=f(u, v) where u = tan-¹2 &v=In(x² + y²), the show that:
x
дw dw aw
+y <=2-
ax ду dv
Q.2A) Evaluation:
If Z = x.n.f(+), then show that: x. zx + y.zy = Z
Transcribed Image Text:Q.IB) If w=f(u, v) where u = tan-¹2 &v=In(x² + y²), the show that: x дw dw aw +y <=2- ax ду dv Q.2A) Evaluation: If Z = x.n.f(+), then show that: x. zx + y.zy = Z
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