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The line mass density of a wire is given by the formula p(x, y) = (3x- + 5y' + 4:?) g/cm. Calculate the total mass
The line mass density of a wire is given by the formula p(x, y) = (3x- + 5y' + 4:?) g/cm. Calculate the total mass M of the wire if its shape is described by the equations:x (t) = \\3 sin't, y (t) = 3 cost, = (t) =2 sint, where Ost x/2 and length is measured in centimetres. Present you answer in the exact form (don't use a calculator), and then calculate the mass of the wire up to three significant figures. Show your answer with the physical dimension (g, cm, sec).Calculate the line integral of the vector-function F(x, y,=) = (1 +>')i -yzj + xk along the path L: (x =3sint, y =t, = =2cost} (0
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