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Problem 35

# Mass of with variable density wire lying along the curve $\mathbf{r}(t)=\sqrt{2} t \mathbf{i}+\sqrt{2} t \mathbf{j}+\left(4-t^{2}\right) \mathbf{k}$ $0 \leq t \leq 1,$ if the density is $(\mathbf{a}) \delta=3 t$ and $(\mathbf{b}) \delta=1$

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