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Please show all workings and answers clearly. 3. (a) Sketch the region R in the x, y plane defined by the inequalities y51 - x2

Please show all workings and answers clearly.

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3. (a) Sketch the region R in the x, y plane defined by the inequalities y51 - x2 and y > 0 (b) For the region R given in part (a) of this question, write f(x, y) dA as an iterated integral using vertical strips. Here dA is the element of area in the x y plane. Do not evaluate your iterated integral. (c) Repeat part (b) of this question using horizontal strips

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