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]

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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]
Transcribed Image Text: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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