Question: In each case express the triple integral as an iterated integral in the given coordinate system. Do NOT evaluate the integral. Draw the solid. Justify
In each case express the triple integral as an iterated integral in the given coordinate system. Do NOT evaluate the integral. Draw the solid. Justify the bounds you are providing. (a)[3 pts.]_(E)xdV where E is the solid above the plane z=1 and below the sphere x^(2)+y^(2)+z^(2)=4. Use cylindrical coordinates. (b)[3 pts.] The integral in Part (a), this time in spherical coordinates. (c)[3pts.]_(F)\sqrt(x^(2)+y^(2)+z^(2))dV, where F is the solid outside the cone z=\sqrt(x^(2)+y^(2)), but inside the upper hemisphere z=\sqrt(1-x^(2)-y^(2)). Use cylindrical coordinates. (d)[3 pts.] The integral in Part (c), this time in spherical coordinates.
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