MAT 213 Lecture Notes - Lecture 8: Curve, Plane Curve, Becquerel
Document Summary
10. 8 arc length and curvature notes: sterling. Provide a generalization to each of the key terms listed in this section. If the limit of the inscribed polygon"s length while getting both f let the following be the proper formula: and g being continuous, then. L = r b a p(f (t))2 + (g (t))2 dt. = r b a pf (t) + g (t) dt a q( dx dt )2 + ( dy dt )2 dt a q d2x dt2 + d2y dt2 dt. Along with the curve, it"s best to use the following parametric equations while f. , g and h are all continuous: x = f (t) y = g(t) z = h(t) If that is the case, then that would the following would be the space curve"s length is the curve is being transversed only (and exactly) one while t is increasing from a to b:
