a) For which values of n do the components P and Q of F (vector) = r^ n (x i + y j) satisfy ∂P/∂y = ∂Q/∂x?
(Here r = sqrt(x^2 + y^2) start by finding formulas for r sub x and r sub y

b) Whenever possible, ﬁnd a function g such that F (vector) = ∇g.
(Hint: look for a function of the form g = g(r), with r = sqrt(x^2 + y^2)

Question

a) For which values of n do the components P and Q of F (vector) = r^ n (x i + y j) satisfy ∂P/∂y = ∂Q/∂x? 
(Here r = sqrt(x^2 + y^2) start by finding formulas for r sub x and r sub y

b) Whenever possible, ﬁnd a function g such that F (vector) = ∇g. 
(Hint: look for a function of the form g = g(r), with r = sqrt(x^2 + y^2)

anonymous · Answer

guys lets work on it|dw:1343027233931:dw|