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Use Cylindrical Coordinates to Find ∭RzdV\iiint _ { R } z d V

Question 57

Essay

Use cylindrical coordinates to find ∭RzdV\iiint _ { R } z d V , where R={(x,y,z):x2+y2≤4, and 0≤z≤x2+y2}R = \left\{ ( x , y , z ) : x ^ { 2 } + y ^ { 2 } \leq 4 , \text { and } 0 \leq \mathrm { z } \leq x ^ { 2 } + y ^ { 2 } \right\}

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