MAT136H1 Lecture Notes - Asymptote, Polar Coordinate System

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

Document Summary

Question #4 (medium): horizontal & vertical tangents for parametric curve. Tangent line is horizontal when its slope is equal to . , tangent line is horizontal when the numerator component. Tangent line is vertical when its slope is undefined, meaning the denominator is equal to . Find the points on the curve where the tangent is horizontal and vertical. In order to find horizontal and vertical tangents, first. For horizontal tangents, and and need to be determined. , since is never equal to zero since it is an exponential function with horizontal asymptote at , it has to come from , thus when cyclically. Therefore the tangent is horizontal at ( ) when and. , so when since is never zero since it being horizontal asymptote. when. , so when cyclically for any integer k. so when.