7) Use cylindrical coordinates to evaluate (i) + yšav, where E is the region that lies inside the cylinder +y² = 16 and between the planes z= -5 and : = 4. () +zy^)aV, where E is the solid in the first octant beneath the paraboloid :=1-2- as shown below

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Chapter2: Second-order Linear Odes
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(7) Use cylindrical coordinates to evaluate
(i)
II V+ ydV, where E is the region that lies inside the cylinder r+y = 16
and between the planes z -5 and = 4.
(ii) /// (+zy)dV, where E is the solid in the first octant beneath the paraboloid
=1-- as shown below
Transcribed Image Text:(7) Use cylindrical coordinates to evaluate (i) II V+ ydV, where E is the region that lies inside the cylinder r+y = 16 and between the planes z -5 and = 4. (ii) /// (+zy)dV, where E is the solid in the first octant beneath the paraboloid =1-- as shown below
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