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A particle moves from to (1, 1) under the influence of the vector field 2 3 E(r, y) = 2x + 3y' 2x + 3y

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A particle moves from to (1, 1) under the influence of the vector field 2 3 E(r, y) = 2x + 3y' 2x + 3y (a) Show that the integral is independent of the path followed by using the Fundamental Theorem of Line Integrals (4) (b) Compute the integral i. by transforming the integral to an ordinary single integral (see Section 15.3) ii. using the Fundamental Theorem of Line Integrals. (7)

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