lecture03

lecture03 - MATH 100 Lecture 3 Quadratic Surface Surfaces...

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

View Full Document Right Arrow Icon
2006 Fall MATH 100 Lecture 3 1 MATH 100 Lecture 3 Quadratic Surface Surfaces represent by quadratic equations 0 2 2 2 = + + + + + + + + + J Iz Hy Gx Fyz Exz Dxy Cz By Ax Mesh plot: collection of traces Trace: intersection between a surface and a plane
Background image of page 1

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

View Full DocumentRight Arrow Icon
2006 Fall MATH 100 Lecture 3 2 MATH 100 Lecture 3 Quadratic Surface 1 9 16 4 2 2 2 = + + z y x Technique for graphing: (i) Intersection with axes (ii) Traces on coordinates planes Two steps (i) Intersection with axes (ii) Traces on coordinates planes
Background image of page 2
2006 Fall MATH 100 Lecture 3 3 MATH 100 Lecture 3 Quadratic Surface l z z k y y h x x = = = ' , ' , ' Translation of axes: xyz -coordinate system to x’y’z’- coordinate system by 0 4 4 8 4 4 Sketch : Ex 2 2 2 = + + + z y z y x
Background image of page 3

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

View Full DocumentRight Arrow Icon
2006 Fall MATH 100 Lecture 3 4 MATH 100 Lecture 3 Quadratic Surface () 2 , 1 , 1 with ellipsoid an is which 1 2 ' ' ' system coordinate - under equation the then 2 ' , 1 ' , ' : n Translatio 1 4 2 1 or 4 4 4 4 4 1 2 4 4 : Sol 2 2 2 2 2 2 2 2 2 2 = = = = + + = + = = = + + + + + = + + + + + c b a z y x x'y'z' z z y y x x z y x z z y y x
Background image of page 4
2006 Fall MATH 100 Lecture 3 5 MATH 100 Lecture 3 Quadratic Surface
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/17/2011 for the course MATH 100 taught by Professor Qt during the Fall '09 term at HKUST.

Page1 / 11

lecture03 - MATH 100 Lecture 3 Quadratic Surface Surfaces...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online