12. Show that the arc length L of a curve whose spherical coordinates are p = p(t), 0 = 0(t) and = o(t) for t in an interval [a, b] is ·b L= = [*°* √p'(t)² + (p(t)² sin² $(t))0 '(t)² + p(t²6'(t)²³ dt.
12. Show that the arc length L of a curve whose spherical coordinates are p = p(t), 0 = 0(t) and = o(t) for t in an interval [a, b] is ·b L= = [*°* √p'(t)² + (p(t)² sin² $(t))0 '(t)² + p(t²6'(t)²³ dt.
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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![段階的に解決し、 人工知能を使用せず、 優れた仕事を行います
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SOLVE STEP BY STEP IN DIGITAL FORMAT
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12. Show that the arc length L of a curve whose spherical coordinates are p = p(t), 0 = 0(t)
and = $(t) fort in an interval [a,b] is
I = $VD(0)+(pl
L=
Vp'(t)2 + (p(t) sino(t)) 6 '(t)' + p(t)' Φ '(t) dt.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45fe7bab-247d-4d9b-8e43-be55c82fe47a%2F87aafeff-71d7-4308-ab1e-862415646e0a%2Fqajq9e9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:段階的に解決し、 人工知能を使用せず、 優れた仕事を行います
ご支援ありがとうございました
SOLVE STEP BY STEP IN DIGITAL FORMAT
DONT USE CHATGPT
12. Show that the arc length L of a curve whose spherical coordinates are p = p(t), 0 = 0(t)
and = $(t) fort in an interval [a,b] is
I = $VD(0)+(pl
L=
Vp'(t)2 + (p(t) sino(t)) 6 '(t)' + p(t)' Φ '(t) dt.
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