Question
Find $$\mathbf{r}(t) \text { if } \mathbf{r}^{\prime}(t)=t \mathbf{i}+e^{\prime} \mathbf{j}+t e^{t} \mathbf{k} \text { and } \mathbf{r}(0)=\mathbf{i}+\mathbf{j}+\mathbf{k}$$
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\begin{equation} \text { Find }\mathbf{r}(t) \text { if } \mathbf{r}^{\prime}(t)=t \mathbf{i}+e^{t} \mathbf{j}+t e^{t} \mathbf{k} \text { and } \mathbf{r}(0)=\mathbf{i}+\mathbf{j}+\mathbf{k}. \end{equation}
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