MATH 264 Study Guide - Quiz Guide: Semi-Major And Semi-Minor Axes, Linear Density, Unit Circle

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 264
• Professor: Sancho

Document Summary

Assignment 2, due in your tutorial sessions the week of february 2, 2009: let e be the ellipse described and shown below. The semimajor axis of e is of length 2 13, and lies on the line y = 2. The semiminor axis of e is of length 13, and lies on the line y = 3. 2 x 5. (a) find an a ne transformation which maps the unit circle onto e. (b) using (a), parameterize e: find the mass of the part of the surface y y = 3. 3 x + 8 that lies above the region 0 x 4, 0 y 3. if the areal density of the surface is. (x, y, z) = 3xyz. z = p2xy: i have a curved piece of wire, which is made of a material of varying density. The wire is in the shape of the following curve: f (t) = (cid:18)sin t, cos t, t2.