The purpose in doing the following simple problems is to become familiar with the formulas we have discussed. So a good study method is to do them by hand and then check your results by computer. Compute the divergence and the curl of each of the following vector fields. 1. r = xi+yj + zk 2. r= xi+yj 3. V = zityj + xk 4. V = yi + zj + ack 5. V = x'ity'j+ zk 6. V = x yity?xj + xyzk 7. V = x sinyi + cosyj + ryk 8. V = sinh zi + 2y j + x cosh z k