Full answer: Finding Intervals on Which a Curve Is Smooth In Exercises 2938, find the

Chapter 12, Problem 38

(choose chapter or problem)

Finding Intervals on Which a Curve Is Smooth In Exercises 29-38,find the open interval(s) on which the curve given by the vector-valued function is smooth.

\(\mathbf{r}(t)=\sqrt{t} \mathbf{i}+\left(t^{2}-1\right) \mathbf{j}+\frac{1}{4} t \mathbf{k}\)

Text Transcription:

r(t)=sqrt t i + (t^2-1) j + 1/4 tk

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