Sketch the function y = x on the interval [0, 2] and let R be theregion bounded by y = x and the x-axis on [0, 2]. Now sketch arectangle in the first quadrant whose base is [0, 2] and whose areaequals the area of R.

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A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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A: Greens theorem if u(x,y) and v(x,y) are continuous functions of x and y ;∮  u dx + v dy = ∬(∂v∂x -…

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A: WE  have to solve by using green theorem  ∫F→.dr→=∫∫c∂N∂x-∂M∂ydxdy

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Q: Let f : R? → R² be defined by f(x, y) = (x – 2y, xy). Prove that f is continuous at (1, 1).

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Q: Use Green's Theorem to evaluate: F n ds where F = (VI+ 5y, 3x + 5y) and C is the boundary of the…

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