Section 13.7 - plane is given by =-z z y y y x f x x y x f...

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Section 13.7 Tangent Planes and Normal Lines
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Definition of Tangent Plane and Normal Line
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Find an equation of the tangent plane to the surface at the indicated point. (2, -2, 4) 36 2 2 2 = + + z y x
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If the surface is given by z=f(x,y) you can define the function F by F(x,y,z)=f(x,y) – z Then the equation of the tangent
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Unformatted text preview: plane is given by ) ( ) )( , ( ) )( , ( =---+-z z y y y x f x x y x f y x The angle of inclination of a plane is defined to be the acute angle between the given plane and the xy-plane, n k n k n k n • = • = θ cos...
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Section 13.7 - plane is given by =-z z y y y x f x x y x f...

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