Suppose (a:(s,t),y(s,t), z(s, t)), 0 S t 5 1,0 g s g 2 gives a closed, simple oriented surface which we call S. (that is, the surface S in output space is closed, surrounds a volume, and does not touch itself more than once as you move along the parameterization: thus, :c(0,0),y(0,0),z(0,0) = (z(l,2),y(l,2),z(l,2).) Show that the volume enclosed by S is given by l 2 g [o [o [3(3'82! 2:31) + y(a:,z, - 50.20 + 3(3th 3:910] dsdt