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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 +

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 4YT
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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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