Question

Let the path C traverse part of the ellipse 9x^2 + y^2 = 9 from (0,...

Let the path C traverse part of the ellipse 9x^2 + y^2 = 9 from (0, ?3) to (1, 0), in a clockwise direction.

Determine the total charge of a wire in the shape of C, if the charge density of the wire is

f (x, y) = sqrt(x^2 + y^2/81) Coulombs per unit length.

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