Maths 2A

Question 1

Guass’s Divergence Theorem…

∫∫_s F * n dS =

Answer 1

∫∫∫_v div F dxdydz

Question 2

The key equation in Green’s Theorem states…

∫_c P(x,y) dx + Q(x,y) dy =

Answer 2

∫∫_D ∂Q/∂x - ∂P/∂y dx dy

Question 3

The Jacobian is given by x = g(u,v) and y = h(u,v) is…

Answer 3

∂(x,y)/∂(u,v) = | ( ∂x/∂u ∂x/∂v ) / ( ∂y/∂u ∂y/∂v) |