#2. Suppose a (t) = x(u(t), v(t)), a st≤b, is a parametrized curve on a surface M. Show that .b length (a) = √(1) (a'(t), a' (t)) dt L² = E(u(t), v(t))(u'(t))2 + 2F(u(t), v(t))u' (t)v'(t) + G(u(t), v(t))(v'(t))² dt. Conclude that if a C M and a C M* are corresponding paths in locally isometric surfaces, then length (a) length (a*). =