MA 227 Midterm: 3-11s-test1
Document Summary
Please always explain your answer, at least by including your calcula- tions. A right answer without calculation brings you no credit: at what point(s) does the curve. 10 points: find a parametric equation for the tangent line to the previous curve at the point p (0, 36, 6). 2: find the curvature of the curve ~r(t) = cos t~i + cos t~j 3 sin t~k at the point. 20 points: find the vectors t , n , and b for the curve of problem 3 at the given point. 20 points: find the tangential and normal components of the acceleration vector for the curve ~r(t) = t~i + 2t~j + t2~k at the generic point ~r(t). 3: the motion ~r(t) takes place for positive time (always t > 0), ~a(t) = 6t~i+ 1. ~v(1) = 3~i ~j + 3~k, ~r(1) = ~i + ~k. 4: find the vectors ~t (t), ~n (t), and ~b(t) for the curve.
