A curve C has parametric equations x = e' , y =t- Int, where t>0. (i) Show that there is no tangent to C parallel to the y-axis and find the equation of the tangent to C that is parallel to the x-axis. [5] (ii) Describe the behavior of the tangent to C as t→0. [1] [(i) y =1]

A curve C has parametric equations x = e' , y =t- Int, where t>0. (i) Show that there is no tangent to C parallel to the y-axis and find the equation of the tangent to C that is parallel to the x-axis. [5] (ii) Describe the behavior of the tangent to C as t→0. [1] [(i) y =1]

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Full solution pls

A curve C has parametric equations
x = e' , y =t- Int,
where t>0.
(i) Show that there is no tangent to C parallel to the y-axis and find the equation of the
tangent to C that is parallel to the x-axis.
[5]
(ii) Describe the behavior of the tangent to C as t→0.
[1]
[(1) y=1]

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