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

This preview shows pages 1–6. Sign up to view the full content.

Section 13.7 Tangent Planes and Normal Lines

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Definition of Tangent Plane and Normal Line
Find an equation of the tangent plane to the surface at the indicated point. (2, -2, 4) 36 2 2 2 = + + z y x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

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

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online