MAT136H1 Lecture Notes - Parametric Equation, Polar Coordinate System

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #2 (medium): converting parametric equations into cartesian equation. If the interval for parameter is not given, based on the parametric equations, make intuitive decision about the reasonable interval for t. then create a table of values for , , and , using simple integers for preferably. To convert the parametric equations into cartesian equations, write the expression for in terms of or , based on one of the parametric equations, then substitute that expression into the other parametric equation. Sample question: sketch the curve based on the parametric equations. Show with an arrow the direction the curve is traced as t increases: then eliminate the parameter to find a cartesian equation of the curve. Solution: the interval for t is not given, however from , we know that t cannot be negative, therefore . Create a table of values for t and x and y, keeping testing t values as integers to keep computation simple.