?Let \(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}-t^{4} \mathbf{k}\) and s(t)=\sin (t)

Chapter 3, Problem 60

(choose chapter or problem)

Let \(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}-t^{4} \mathbf{k}\) and s(t)=\sin (t) \mathbf{i}+e^{t} \mathbf{j}+\cos (t) \mathbf{k}. Here is the graph of the function:

Find the following.

\(\frac{d}{d t}\left[t^{2} \cdot s(t)\right]\)

Text Transcription:

\frac{d}{d t}\left[t^{2} \cdot s(t)\right]

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