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Mathematics, 25.10.2019 03:43 gracye

Find the volume v of the solid below the hyperboloidz=5− square root of 1+x2+y2and above the following region. r={(r,θ): 1≤r≤2,0≤θ≤2π}this is a description of the object that is in questionan x y z coordinate system has an x-axis, a y-axis, and a vertical positive z-axis. two circles in the x y plane, both centered at (0, 0, 0), have radii 1 and 2. the area between the two circles is shaded and labeled upper r. above the outer circle, a paraboloid labeled z equals 5 minus startroot 1 plus x squared plus y squared endroot opens downward from a vertex at (0, 0, 5) and stops in a plane above and parallel to the x y plane where its cross section is a circle with radius 2.5z equals 5 minus startroot 1 plus x squared plus y squared endrootz=5−1+x2+y22211set up the double integral, in polar coordinates, that is used to find the volume.∫ black to blank and ∫blank to blank . beside the double integrals is a blank drdθfind the volume. and double integrals

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