Unformatted text preview: a cos t ) i + ( a sin t ) j and conﬁrm that this agrees with the geometric interpretation of the curvature as the reciprocal of the radius of the osculating circle. C. Compute the curvature of the helix h cos t, sin t,t i . (Hint: Before you dive in and compute a parametrization of the curve by arc-length, see if one of the formulas for curvature gives us the answer with less work.) D. Consider the curve r ( t ) = h e-t cos t,e-t sin t,e-t i , t ≥ 0. Compute the curvature and show that it goes to inﬁnity as t → ∞ ....
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This note was uploaded on 02/13/2012 for the course MATH 241 taught by Professor Staff during the Fall '11 term at UMass Lowell.
- Fall '11