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Here, g(x, y) = z = 9x(x, y) = gy(x, y) = + y2. Find the partial derivatives gx(x, y) and gy(x, y). x² + y² √x² +

Here, g(x, y) = z = 9x(x, y) = gy(x, y) = + y2. Find the partial derivatives gx(x, y) and gy(x, y). x² + y² √x² +

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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15.6-9

Tutorial Exercise • SS² Evaluate f(x, y, z) ds. f(x, y, z)=√√√x² + y² + z² S: Z = Part 1 of 6 Find the surface integral using the formula [[ f(x, y, z) ds = 5 = √ √₂ R Here, g(x, y) = z = √x² + y². Find the partial derivatives 9x(x, y) and gy(x, y). 9x(x, y) = x² + y², (x-1)² + y² ≤ 1 gy(x, y) = √x². √x² + y² f(x, y, g(x, y)) √ 1 + [gx (x, y)]²+ [gy (x, y)]² da.
Transcribed Image Text:Tutorial Exercise • SS² Evaluate f(x, y, z) ds. f(x, y, z)=√√√x² + y² + z² S: Z = Part 1 of 6 Find the surface integral using the formula [[ f(x, y, z) ds = 5 = √ √₂ R Here, g(x, y) = z = √x² + y². Find the partial derivatives 9x(x, y) and gy(x, y). 9x(x, y) = x² + y², (x-1)² + y² ≤ 1 gy(x, y) = √x². √x² + y² f(x, y, g(x, y)) √ 1 + [gx (x, y)]²+ [gy (x, y)]² da.
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