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. əz Fx əz and -=- Fy ax F₂ dy Use these equations to find the values of az/ax and az/ay at the given point. 2z³ - xy + 3yz + 3y³ - 270=0, (3,4,3) əz = (Type an integer or a simplified fraction.) Əx (3,4,3)
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. əz Fx əz and -=- Fy ax F₂ dy Use these equations to find the values of az/ax and az/ay at the given point. 2z³ - xy + 3yz + 3y³ - 270=0, (3,4,3) əz = (Type an integer or a simplified fraction.) Əx (3,4,3)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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8
![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.
əz
Fx
əz
and -=-
Fy
ax
F₂ dy
Use these equations to find the values of az/ax and az/ay at the given point.
2z³ - xy + 3yz + 3y³ - 270=0, (3,4,3)
əz
=
(Type an integer or a simplified fraction.)
Əx
(3,4,3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d61fb91-2492-4508-ae26-658897a59dc9%2Fb1d46207-2f56-4abd-94eb-03c57979f7d1%2Ffar84oi_processed.png&w=3840&q=75)
Transcribed Image Text: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.
əz
Fx
əz
and -=-
Fy
ax
F₂ dy
Use these equations to find the values of az/ax and az/ay at the given point.
2z³ - xy + 3yz + 3y³ - 270=0, (3,4,3)
əz
=
(Type an integer or a simplified fraction.)
Əx
(3,4,3)
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