For the vector field F(x,y,z) = e^y i + xe^y j + (z+1)e^z k, where C: r(t) = t i + t^2 j + t^3 k, 0 ≤ t ≤1 Find a function ƒ such that F = gradƒ and use the above to evaluate ∫C F•dr along C
Follow Math Help Forum on Facebook and Google+
Can you prove that F is a conservative field? Vector fields that are conservative have integrals that are path independent. Can you show that ? What is ?
View Tag Cloud