Use qualitative arguments (i.e., draw surfaces and/or loops on the plots and ascribemcaning to the vector integrals through or along these) to answer the following ques-tions about the vector ficld below. You may assume that the ficld has no componentsalong the y direction, and also no dependence on y.24 6810 The ficld in Problem 2 corresponds to the functionV(r, y, z) = x sin z +î cos z.(a) Compute the divergence of this vector field quantitatively. Does your answer agree withyour answer to Problem 2, part (a)? Resolve the discrepancies if not.(b) Compute the curl of this vector field quantitatively. Docs your answer agree with youranswer to Problem 2, part (b)? Resolve the discrepancies if not.

Loop drawn in the diagram shows that vector field has non zero divergence since net arrows are…

Use qualitative arguments (i.e., draw surfaces and/or loops on the plots and ascribe mcaning to the vector integrals through or along these) to answer the following ques- tions about the vector ficld below. You may assume that the ficld has no components along the y direction, and also no dependence on y. 2 4 6 8 10

Use qualitative arguments (i.e., draw surfaces and/or loops on the plots and ascribe mcaning to the vector integrals through or along these) to answer the following ques- tions about the vector ficld below. You may assume that the ficld has no components along the y direction, and also no dependence on y. 2 4 6 8 10