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Changing the Order of
Rewrite using dy dz dx
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Calculus
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- Set-up the iterated double integral in rectangular coordinates equalto the volume of the solid in the first octant bounded above by the paraboloid z = 1−x2-y2, below by the plane z =3/4, and on the sides by the planes y = x and y = 0.arrow_forwardVolumes of solids Use a triple integral to find the volume of thefollowing solid. The solid bounded by x = 0, x = 2, y = 0, y = e-z, z = 0, and z = 1arrow_forwardUsing a Triple Integral to Find the Volume of a Solidarrow_forward
- use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region. F(x, y, z) = x4 + y2 + z2 over the solid sphere x2 + y2+z2 <= 1arrow_forwardc2-volume-2 Determine the volume of the solid formed by rotation about the x-axis of the region bounded by the curves y = 4x − 1 and y = 63.75 x on the interval 0 ≤ x ≤ 4.arrow_forward
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