(a) Find the value of the positive constant c for which the function satisfies the equation (b)...

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

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

satisfies the equation

a12 =

(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

and av  aV  =;(rsine aV r sin 0 + cos 0 - ar =-(rcos0 av  av - sin 0 -  av

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