MTH 101 Study Guide - Final Guide: Cartesian Coordinate System

• School: Smith College
• Department: Mathematics
• Course: MTH 101
• Professor: mathew

Document Summary

Spring 2021: find the area of the region in the xy-plane enclosed by the line y = x and the curve given by the polar equation r = tan with 0 < . 2 : find the area inside one leaf " of the three-leaved rose r = cos 3 , identify the curve given by the equation. 9x2 18x + 4y2 = 27 and nd its foci: find the length of the curve c on the xy-plane de ned by the polar equation r = 1. 0 /2: recall the folium of descarte given by the parametric equations: x(t) = 1 + t3 (where t 6= 1) (a) show that the polar coordinates (r, ) of every point on the folium satisfy the equation r2 = 9 tan2 sec2 (1 + tan3 )2 . (hint.