(a) Find the value of the positive constant c for which the function

satisfies the equation

(b) V is a function of the independent variables x and y. Given that x = r cos θ and y = r sin θ, find ∂V/∂u and ∂V/∂r in terms of ∂V/∂x and ∂V/∂y, and hence show that

Transcribed Image Text:

y = k - sin 2 .. 7x) sin (27) k k