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11) Example: of R' (t) to find the curvature Use the Theorem in 10 to

11) Example: of R' (t) to find the curvature Use the Theorem in 10 to

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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10.) Theorem 7.5.4. The curvature of a smooth space curve defined by the vector valued function R(t) is given by k(t): = ||R' (t) × R"(t) ||R' (t) ³
Transcribed Image Text:10.) Theorem 7.5.4. The curvature of a smooth space curve defined by the vector valued function R(t) is given by k(t): = ||R' (t) × R"(t) ||R' (t) ³
11) Example: of R²(t) Use the Theorem in 10 to 10 to find the curvature < t, cost, sint >
Transcribed Image Text:11) Example: of R²(t) Use the Theorem in 10 to 10 to find the curvature < t, cost, sint >
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