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 Vector Calculus Assignment

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1. (a) Parametrise C1 and C2. Hint: Use t : ô€€€t0 ! t0 as limits when parametrisingC2 and explain why cos(t0) = ô€€€45and sin(t0) =35.(b) Calculate ICv  drwhere v =12(ô€€€yi + xj).(c) Use Green's theorem and your answer from 1(b) to determine the area of Rand then verify that it is less than ab.2. (a) Give the cartesian equation for the ellipse used to de ne C2.(b) Show that 9 + 4r cos  = 5r is the equation of that ellipse when w ...

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