let T(x,y) = (2x-y, xy) a) What is T(0,0) ? b) Is T a linear transformation? Explain  c) Find the image under T of the region R bounded y=1/x ; y=2/x ; y= 2x; y=2x-1 d) ∫∫ R ( 2x+y/xy)dA  where R is the same as in part (c)

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Q: 9. Find the centroid of the region R in the xy plane bounded by y2 = x and y = 3x

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Q: 4) Find the centroid of the plane region bounded by x² + y² = 25 and x² + (y – 6)² = 13.

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Q: Where is the centroid of the region bounded by y = x2, y = 0, and x = 1?

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Q: Find the kernel of linear map L:R R given by L(x,y,z)%3D(0,z,y)?

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: use divergence theorem to find the outward flux of f =2xzi-3xyj-z^2k across the boundary of the…

A: By divergence theorem

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Q: Q1- Determine the coordinates of the centroid of the area.: (1, 1) y= x,

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Q: Let B be the region in the first quadrant of the xy-plane bounded by the lines r + y = 1, x + y = 2,…

A: Answer is mentioned below

Q: 2) Find, without using Pappus' theorem, the centroid of the region above the X axis that is bounded…

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Q: (a) Let D be the region in ryz-space defined by the inequalities 1 <r < 2,0 < ry < 2, 0 < z< 1.…

A: