Solved: In 3740, find a vector function r that satisfies the indicated conditions

Chapter 9, Problem 40

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In Problems 37-40, find a vector function r that satisfies the indicated conditions.

\(\begin{array}{l}\mathbf{r}^{\prime \prime}(t)=\sec ^{2} t \mathbf{i}+\cos t \mathbf{j}-\sin t \mathbf{k} \\\mathbf{r}^{\prime}(0)=\mathbf{i}+\mathbf{j}+\mathbf{k}, \mathbf{r}(0)=-\mathbf{j}+5 \mathbf{k}\end{array}\)

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