Exercises

01

FT of Line Integrals: elevation gain

Consider the vector field $\mathbf{F}=(2x+y,x)$. Choose any path between $(0,0)$ and $(2,3)$. Verify the FT for line integrals by computing the elevation gain on your chosen path in two ways (computing both sides of the FT). For the right side, you will need to first find a field $f(x,y)$ such that $\nabla f=\mathbf{F}$.