If the equation F(x.y,z) = 0 determines z as a differentiable function of x and y, then, at the points where F, # 0, the following equations are true. Fx dz and dy dz Fy F2 Use these equations to find the values of dz/ dx and dz/dy at the given point. 2z - 4xy + 5yz + 3y - 132 = 0, (4,3,3) dz (Type an integer or a simplified fraction.) !3D (4,3,3) dz (Type an integer or a simplified fraction.) dy (43.3)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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If the equation F(x.y.z)3D0 determines z as a differentiable function of x and y, then, at the points where F, +0, the following equations are true.
Fx
Fy
and
F2
dy
F2
Use these equations to find the values of dz/dx and dz/dy at the given point.
3.
2z° - 4xy +5yz +3y-132 0, (4,3,3)
(Type an integer or a simplified fraction.)
(4,3,3)
dz
(Type an integer or a simplified fraction.)
(4,3,3)
Enter your answer in each of the answer boxes.
一次
一小
Transcribed Image Text:If the equation F(x.y.z)3D0 determines z as a differentiable function of x and y, then, at the points where F, +0, the following equations are true. Fx Fy and F2 dy F2 Use these equations to find the values of dz/dx and dz/dy at the given point. 3. 2z° - 4xy +5yz +3y-132 0, (4,3,3) (Type an integer or a simplified fraction.) (4,3,3) dz (Type an integer or a simplified fraction.) (4,3,3) Enter your answer in each of the answer boxes. 一次 一小
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