MATH 2414 Lecture Notes - Lecture 8: To-3, Parametric Equation, Infor

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3 tay 3 i x day 9 i. X cyd2 2cg d y 2yd ly 12. X y 4y13 x cy 1 cy 3 intercepts. Iii xy. ls. fi to graph pick values of t find xty place arrows according to direction find y because it"s parametric curve haveto show the direction plug in values of t to find xty. X cost the curve y sint of ti 21t sin"t1055 1. To if dealing w parametric curve wlsintws square then tomake use of trigidentity sinklw5x 1 x cost y sint. X2 wsy2t sin42tj w5c2t 1 y sinc2t y sink2t. L sin2t forevery1 goingtwice as far doublingspeed of t. X sint y sin"t eliminate parameter getintotermsof year z y x. Ti howhightlow can xty be sin sin restrictions on try xty. If fct a y g t if ad 0 aredifferentiable functions then this will be the slope of the tangent line to the. Note that parametric curve at x y actsgets.

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