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]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5ed2325-b942-43b1-ab71-7c85984338db%2F6fe010e2-2e79-4103-a21c-0cc0dfc14f55%2Flmlilk8_processed.jpeg&w=3840&q=75)
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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