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7. Let f(t) be a smooth curve such that f'(t) #0 for all t. Then we can define the unit tangent vector T by Show that T(t)=- ||f'(t)||* f'(t) × (f"(t) = f'(t)) ||f'(t) || ³ T'(t) = -

7. Let f(t) be a smooth curve such that f'(t) #0 for all t. Then we can define the unit tangent vector T by Show that T(t)=- ||f'(t)||* f'(t) × (f"(t) = f'(t)) ||f'(t) || ³ T'(t) = -

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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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 Exercises 7-9 develop the moving frame field T, N, B at a point on a curve. 7. Let f(t) be a smooth curve such that f'(t) #0 for all t. Then we can define the unit tangent vector T by Show that T(t)= f'(t) ||f'(t)||* f'(t) x (f"(t) x f'(t)) ||f' (t) || ³ T'(t)=-
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 Exercises 7-9 develop the moving frame field T, N, B at a point on a curve. 7. Let f(t) be a smooth curve such that f'(t) #0 for all t. Then we can define the unit tangent vector T by Show that T(t)= f'(t) ||f'(t)||* f'(t) x (f"(t) x f'(t)) ||f' (t) || ³ T'(t)=-
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