Need help with this question. Please explain each step. Thank you :) Let y: R → R³ be a unit speed curve. Let T, N, B denote the Frenet frame of y, and let K, T denote the curvature and torsion of y respectively.Further, suppose the curvature (t) satisfies k(t) ‡ 0 for all t. Define another curve ß: R → R³ byIt can be shown that (t) = f(t)N for some function f(t). What is f(t)?Select one:O a. 0O b. 1O c. td. -tO e. k(t)f. -k(t)g. t(t)Oh. -t(t)○i. K(t)²τ(t)2K(t)t(t)B(t) =Ο j.Ok.dy(t)dt

Given: A unit speed curve , with Frenet frame and curvature and torsion Objective: Determine the…

Let y: R→ R³ be a unit speed curve. Let T, N, B denote the Frenet frame of y, and let K, T denote the curvature and torsion of y respectively. Further, suppose the curvature x(t) satisfies x(t) #0 for all t. Define another curve : R → R³ by B(t) = It can be shown that (1) f(t) N for some function f(t). What is f(t)? Select one: O a. 0 O b. 1 O c. t O d. O e. k(t) O f. -k(t) O g. r(t) Oh. -t(t) Oi. K(t)² Ο j. τ(t)2 Ok. K(t)t(t) -t dy(t) dt .

Let y: R→ R³ be a unit speed curve. Let T, N, B denote the Frenet frame of y, and let K, T denote the curvature and torsion of y respectively. Further, suppose the curvature x(t) satisfies x(t) #0 for all t. Define another curve : R → R³ by B(t) = It can be shown that (1) f(t) N for some function f(t). What is f(t)? Select one: O a. 0 O b. 1 O c. t O d. O e. k(t) O f. -k(t) O g. r(t) Oh. -t(t) Oi. K(t)² Ο j. τ(t)2 Ok. K(t)t(t) -t dy(t) dt .

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 34E

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