If c is the curve given by r(t)=(1+2sint)i+(1+3sin2t)j+(1+1sin 3t)k, 0≤t≤π2 and f is the radial vector field f(x, y,z)=xi+yj+zk, compute the work done by f on a particle moving along c.

On your wedding day your lover gives you a gold ring of mass 3.67 g. 48 years later its mass is 3.44 g. on the average how many atoms were abrated from the ring during each second of your marriage? the atomic mass of gold is 197 u. don't enter units