If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points where F₂ #0, the following equations are true. K Fx Fy F₂ dz dx dz dx (5,4,1) and dz ay (5,4,1) dz dy Use these equations to find the values of dz/dx and dz/dy at the given point. 32³-3xy + yz + 3y³ - 139 = 0. (5,4,1) F₂ (Type an integer or a simplified fraction.) =(Type an integer or a simplified fraction.)
If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points where F₂ #0, the following equations are true. K Fx Fy F₂ dz dx dz dx (5,4,1) and dz ay (5,4,1) dz dy Use these equations to find the values of dz/dx and dz/dy at the given point. 32³-3xy + yz + 3y³ - 139 = 0. (5,4,1) F₂ (Type an integer or a simplified fraction.) =(Type an integer or a simplified fraction.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 4E
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