MATH 253 Study Guide - Quiz Guide: Cartesian Coordinate System, Mater Lectionis, Cylindrical Coordinate System
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1 (b) x2 + y2 = 2x (c) x2 y2 = 1: sketch the curve of the following polar equations. (a) r = 5 (b) = 3 . 10. (a) change (3, (b) change ( (c) change ( (d) change (4, . 3, 1, 4) from rectangular to cylindrical coordinates: from rectangular to spherical coordinates. Solutions to homework assignment #2, math 253: find the equation of a sphere if one of its diameters has end points (1, 0, 5) and (5, 4, 7). The centre is at the midpoint ( 1+5 sphere is given as (x 3)2 + (y + 2)2 + (z 6)2 = 9 . (5 1)2 + ( 4 0)2 + (7 5)2 = 2 , 5+7: find vector, parametric, and symmetric equations of the following lines. (a) the line passing through the points (3, 1, 1, and (4, 3, 3)
