Question

Sketch the curve with the given vector equation. Indicate with an arrow the direction in which $t$ increases. $\mathbf{r}(t)=\langle-\cos t, t\rangle$

   Sketch the curve with the given vector equation. Indicate with an arrow the direction in which $t$ increases.
$\mathbf{r}(t)=\langle-\cos t, t\rangle$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 13, Problem 7 ↓
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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which $t$ increases. $\mathbf{r}(t)=\langle-\cos t, t\rangle$
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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which $t$ increases. $$\mathbf{r}(t)=\langle-\cos t, t\rangle$$

Calculus: Early Transcendentals, Metric Edition

Vector Functions

Vector Functions and Space Curves


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Transcript

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00:02 So we have r t equals the vector negative cosine t t.
00:09 So the coordinates x equals negative cosine t, y equals t, lead to x equals negative cosine y.
00:19 So as t which equals y increases steadily, the point moves upward while x wiggles between negative one to one like a cosine in the horizontal direction...
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