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dw dw and dv du Express as functions ofu and v. dw du dw dv dw dw Evaluate and du du (Type an integer or a simplified fraction.) dv (Type an integer or a simplified fraction.)

dw dw and dv du Express as functions ofu and v. dw du dw dv dw dw Evaluate and du du (Type an integer or a simplified fraction.) dv (Type an integer or a simplified fraction.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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dw dw dw For the functions w= xy + yz + xz, x= 3u + v, y = 3u - v, and z= uv, express and , using the chain rule and by expressing w directly in terms of u and v before differentiating. Then evaluate and at the point (u,v) = du dw dw and Express as functions of u and v. du dv dw du dw %3D dv dw and du dw Evaluate at dv dw du (Type an integer or a simplified fraction.) dw dv (Type an integer or a simplified fraction.)
Transcribed Image Text:dw dw dw For the functions w= xy + yz + xz, x= 3u + v, y = 3u - v, and z= uv, express and , using the chain rule and by expressing w directly in terms of u and v before differentiating. Then evaluate and at the point (u,v) = du dw dw and Express as functions of u and v. du dv dw du dw %3D dv dw and du dw Evaluate at dv dw du (Type an integer or a simplified fraction.) dw dv (Type an integer or a simplified fraction.)
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