(Solved) Let u, v, w ∈ R^3. Find the derivative of r(t)=(t-1) u *(v+3^t w) Evaluate the indefinite integral ∫ e^π t u-t^42 v-w d
Question: Let \(\mathbf{u}, \mathbf{v}, \mathbf{w} \in \mathbb{R}^{3}\).
- Find the derivative of \(\mathbf{r}(t)=(t-1) \mathbf{u} \times\left(\mathbf{v}+3^{t} \mathbf{w}\right)\)
- Evaluate the indefinite integral
\[\int e^{\pi t} \mathbf{u}-t^{42} \mathbf{v}-\mathbf{w} d t\]
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