MATH 2D Study Guide - Midterm Guide: Jyj, New Jersey Route 4

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2D
• Professor: All

Document Summary

1 9z2(cid:1)2 = 1 when |z| < 1. 3, the single point (0, 0) when |z| = 1. 3. z = 0 ( 1, 0) y (cid:1) (cid:0)0, 1. Similarly the traces of constant y are the ellipses (cid:16)(cid:112)1 4y2 x2 (cid:17)2 + (cid:16) 1. 3 z2 (cid:112)1 4y2 (cid:17)2 = 1 when |y| < 1. 2, the single point (0, 0) when |y| = 1. The traces of constant x are likewise the ellipses z2 y2 (cid:0) 1. 1 x2(cid:1)2 = 1 when |x| < 1, the single point (0, 0) when |x| = 1, and empty when |x| > 1. x = 0 x = 1 x = 1. We conclude that the ellipsoid has width 2 in its widest direction (along the x-axis) and width 2 (cid:16) (cid:17) 3 in its narrowest direction (along the z-axis). (cid:126)r(t) = (cid:104) sin t, 2 cos t,