Assignment:
Q1. Evaluate ∫c P(x,y)dx + Q(x,y)dy given: P (x,y) = y², Q(x,y) = 3x; C is part of the graph of y=3x² from (-1,3) to (2,12)
Q2. Use the divergence theorem to evaluate ∫∫s F·nds where N is the outer unit normal vector to the surface S. F=3xi +2yj + 4zk; S is the surface of the plane x+y+z=6.
Provide complete and step by step solution for the question and show calculations and use formulas.