Exercícios de Química Experimental básica Pt 1

(a) Unit circle parameterization; C = {P: P = (u cos t, u sin t) for some u in [0, 4.5]}. (b) Parameters for the normal parametrization: (r(t), C(t)) = ((4+2t) cos(t), (4+2t) sin(t)), t in [0, 2pi]. (c) Showing that C has finite length. Estimate length to be a function of C(t) as param. Needed: (1) L = integral from a to b of ||dC/dt|| dt. C(t)= (x(t), y(t)) => || C'(t) || = sqrt( (dx/dt)^2 + (dy/dt)^2 ). (2) Find parameterizations for extremes. (d) C = run under a passed (composed) filter a certain a quantization.