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6Int Consider the path r(t) = <12+₁ 6F²₁ 645) de find for +70² snea Find the length of the curve between the pornts (12, 6,0) and (48,46,610 (9) 21420 P

6Int Consider the path r(t) = <12+₁ 6F²₁ 645) de find for +70² snea Find the length of the curve between the pornts (12, 6,0) and (48,46,610 (9) 21420 P

Advanced Engineering Mathematics
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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6 Int Consider the path r(t) = <12+₁ 6+²₁ 645) de find for +70-andy Find the length of the curve between the points (12,6, 0) and (48, 46,6/1 (9) DE
Transcribed Image Text:6 Int Consider the path r(t) = <12+₁ 6+²₁ 645) de find for +70-andy Find the length of the curve between the points (12,6, 0) and (48, 46,6/1 (9) DE
6 Int Consider the path r(t) = (12+₁ 6+²₁ 65²² defind for +70 18 Expande Find the length of the curve between the pornts (12,6,0) and (48,46,6/n (9)
Transcribed Image Text:6 Int Consider the path r(t) = (12+₁ 6+²₁ 65²² defind for +70 18 Expande Find the length of the curve between the pornts (12,6,0) and (48,46,6/n (9)
Expert Solution
Step 1

The arc-length(L) of the parametric curve of the form: r(t)=f(t), g(t), h(t) in the domain: a≤x≤b is calculated using the formula: L=∫abf'(t)2+(g'(t))2+(h'(t))2dt.

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