Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Problem Statement:** Find the domain of the vector function: \[ \vec{r}(t) = \left\langle \sqrt[3]{t-2}, \frac{e^t + 8}{t}, \ln(t + 3) \right\rangle \] **Options:** - \(\circ\) \((-3, \infty)\) - \(\circ\) \((0, \infty)\) - \(\circ\) \((-3, 0) \cup (0, \infty)\) - \(\circ\) \((2, \infty)\) - \(\circ\) None of these
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Transcribed Image Text:**Problem Statement:** Find the domain of the vector function: \[ \vec{r}(t) = \left\langle \sqrt[3]{t-2}, \frac{e^t + 8}{t}, \ln(t + 3) \right\rangle \] **Options:** - \(\circ\) \((-3, \infty)\) - \(\circ\) \((0, \infty)\) - \(\circ\) \((-3, 0) \cup (0, \infty)\) - \(\circ\) \((2, \infty)\) - \(\circ\) None of these
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