#4: Consider the equation ex+ 5y + 3x + 25y + sin(xyz) + 15:= 1 The implicit function theorem implies that there exists a function g: R²R such that z = g(x, y) near the origin (0,0). (a) Find (b) Find (0,0). (0,0).

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 11E
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#4: Consider the equation
ex+ 5y + 3x + 25y + sin(xyz) + 15: = 1
The implicit function theorem implies that there exists a function g: R² → R such that z = g(x, y) near the origin
(0, 0).
(a) Find
(b) Find
(0,0).
(0,0).
Transcribed Image Text:#4: Consider the equation ex+ 5y + 3x + 25y + sin(xyz) + 15: = 1 The implicit function theorem implies that there exists a function g: R² → R such that z = g(x, y) near the origin (0, 0). (a) Find (b) Find (0,0). (0,0).
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