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For the next problems, let M be the portion of the paraboloid z - a + yz in the first octant inside the cylinder a2

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For the next problems, let M be the portion of the paraboloid z - a + yz in the first octant inside the cylinder a2 + yz = 3 and between the plane y = > and the xz-plane y 0. (a) Use set notation to describe M in rectangular coordinates: M = { ( x, y, z) : 2 =..., 2 2 + 2 5 ... . ... Sys .. . }. (b) Using cylindrical coordinates, find a parametrization ? (r, 0) for M, clearly indicating its domain. Compute the normal vector Pr X 20, and decide if it is upward (positive z-component) or downward (negative z-component)

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