MAT235Y1 Lecture 1: MAT235 note1

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12 Oct 2018
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Wergx. isy sinti is a point on the unitcircle. A curve in the plane is defined by a fit forsome funcfandg. tt y 9 . 1 on the unit circle covers it twice o t 2 . X t. yil t2 ttttlparametriz. at ion of the upper half_circle. Find a parametrication for the circleofradius r around the point xoyo. Ans all points ay whose distance from no yo is r lxyaudlxo. yojisicg distance between yojzfnreerr. th. gl otitis. Gogo let y 9 fg are differentiablefunctions suppose that. Suppose y is a differentiablefunction of x slope ofthe tangent line is chain rule if to. Ex xzt sint. y ltost l. sn sketch the curve find the tangent line at . 1 cos 1 i point cost. At 1 51 . Weknowequation of a line through nogo with slope a is y_go a x_x thetangent line at is g entrees. If a awe is horizontal at points where 0 slope 0 0.

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