Question

Find the domain of the vector function. $\mathbf{r}(t)=\cos t \mathbf{i}+\ln t \mathbf{j}+\frac{1}{t-2} \mathbf{k}$

   Find the domain of the vector function.
$\mathbf{r}(t)=\cos t \mathbf{i}+\ln t \mathbf{j}+\frac{1}{t-2} \mathbf{k}$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 13, Problem 2 ↓
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Find the domain of the vector function. $\mathbf{r}(t)=\cos t \mathbf{i}+\ln t \mathbf{j}+\frac{1}{t-2} \mathbf{k}$
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Transcript

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00:01 So for this problem, we're hoping to find the domain of the vector function.
00:04 So in order to do this, we're going to look at the domain of each individual component of the vector.
00:10 So looking at the first component, we have the cosine of t or the cosine of x.
00:18 And as we know, the cosine of x has a domain across all real numbers...
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