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  3. 1 compute the curvature of the following arclengthparametrized curves s...

Question: 1 compute the curvature of the following arclengthparametrized curves s...

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1. Compute the curvature of the following arclength-parametrized curves: α(s) ( cos s,-1 cos s, sin s) a. (l+s)3/2,3(I-s)3/2,V s), se(-1,1) α(s)-( Calculate the unit tangent vector, principal normal, and curvature of the following curves: *c. 2. a. a circle of radius a: α (1) (a cost, a sint) α(1) (1,cosh 1 ) α(1)-(cos, sin31), 1 E (0, π/2) b. c. 3. Calculate the Frenet apparatus (T, κ, N, B, and τ) of the following curves: b. α(1) ( e, (sin 1 + cos 1), el (sin 1-cos), e) α(I)-(el cos t, et sint, et) α(1)-(cosh 1, sinh 1,1) d. e, α(1) (1-sin 1 cos 1,sin21,cos 1), te (0, π) g.
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