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11 Jun 2020
Arc Length and CurvatureConsider the vector-valued function
(a) Use a graphing utility to graph the function.
(b) Find the length of the arc in part (a).
(c) Find the curvature K as a function of . Find the curvature at , and .
(d) Use a graphing utility to graph the function K.
(e) Find (if possible)
(f) Using the result of part (e), make a conjecture about the graph of as .
Arc Length and CurvatureConsider the vector-valued function
(a) Use a graphing utility to graph the function.
(b) Find the length of the arc in part (a).
(c) Find the curvature K as a function of . Find the curvature at , and .
(d) Use a graphing utility to graph the function K.
(e) Find (if possible)
(f) Using the result of part (e), make a conjecture about the graph of as .
Joram GuingguingLv10
18 Jul 2020