(b) (i) Parametrise the graph of the C function y = f(x), for x = [a, b], as the track of a regular curve. (ii) Show that the arc-length of the curve in (i) is given by the traditional formula * √1 + (f'(x))³²dx.
(b) (i) Parametrise the graph of the C function y = f(x), for x = [a, b], as the track of a regular curve. (ii) Show that the arc-length of the curve in (i) is given by the traditional formula * √1 + (f'(x))³²dx.
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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Please explain all sabpart
![(b) (i) Parametrise the graph of the C function y = f(x), for x = [a, b], as the track
of a regular curve.
(ii) Show that the arc-length of the curve in (i) is given by the traditional formula
[VI+U](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94b9f824-1602-4b40-a724-d6c51e546fb8%2F2c0040f7-4d35-469c-af73-b939a36edf7f%2Frx0zblj_processed.png&w=3840&q=75)
Transcribed Image Text:(b) (i) Parametrise the graph of the C function y = f(x), for x = [a, b], as the track
of a regular curve.
(ii) Show that the arc-length of the curve in (i) is given by the traditional formula
[VI+U
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