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 Find the center of mass of the wire that lies along the curve r and has density δ\text { Find the center of mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }

question 193

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 Find the center of mass of the wire that lies along the curve r and has density δ\text { Find the center of mass of the wire that lies along the curve } r \text { and has density } \delta \text {. }
- r(t) =(5t21) i+4tk,1t1;δ(x,y,z) =320x+36r ( t ) = \left( 5 t ^ { 2 } - 1 \right) \mathbf { i } + 4 t k , - 1 \leq t \leq 1 ; \delta ( x , y , z ) = 3 \sqrt { 20 x + 36 }

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