Engineering Calculus Notes 297

Engineering Calculus Notes 297 - x,y,z where z = f x,y with...

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3.5. SURFACES AND THEIR TANGENT PLANES 285 −→ N −→ v y −→ v x Figure 3.13: Tangent plane and normal vector to graph of x 2 3 y 2 2 which is the graph of the linearization of f ( x,y ) z = T ( x 0 ,y 0 ) f ( x,y ) = f ( x 0 ,y 0 ) + ∂f ∂x ( x 0 ,y 0 )( x x 0 ) + ∂f ∂y ( x 0 ,y 0 ) ( y y 0 ) , is the plane through the point P (
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Unformatted text preview: x ,y ,z ) , where z = f ( x ,y ) , with direction vectors −→ v 1 = −→ ı + ∂f ∂x ( x ,y ) −→ k and −→ v 2 = −→ + ∂f ∂y ( x ,y ) −→ k ....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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