MATH 2321 Lecture Notes - Lecture 13: Paraboloid, Hyperbola

• School: Northeastern University
• Department: Mathematics
• Course: MATH 2321
• Professor: Sumi Seo

Document Summary

Plane of x = 0 # the yz-plane 3) z=x + y2 plane of y=0 ) the xz-plane , 4) z = x2 + y2 plane of 2-0 the xy-plane l 5)2 = x2-y2. Z= x2 + y2 z=-(x + y2) 2=10-(x2+42) Sketen the graph given by 2 = 5- nx2 + y2. Z=- n x + y2 - 2= 5- x? ty? lower cone. Find the cross-section where 2=4 and trace it. 4= 5-nx3+42 radius: freie where radius= | x2 + y2 = 1. P l z=-n x + y2 lower cone. Z cross-section when z=k, (k is constant) x2 + y2 = k2 is a arde of radius k in the plane of zok. * note: i - 4-1 or = -1