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Let c(t) = (cost, sin(2t)). a. Make a table for the parametric curve using t = {0,7,7,7,7,7,7,7, 2n} to find the x and y values at those values. b. Make a sketch of the curve showing the direction of motion.

Let c(t) = (cost, sin(2t)). a. Make a table for the parametric curve using t = {0,7,7,7,7,7,7,7, 2n} to find the x and y values at those values. b. Make a sketch of the curve showing the direction of motion.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Parametric Curve Exploration** Let \( c(t) = (\cos t, \sin(2t)) \). **a.** Construct a table for the parametric curve using \( t = \left\{ 0, \frac{\pi}{4}, \frac{\pi}{2}, \frac{3\pi}{4}, \pi, \frac{5\pi}{4}, \frac{3\pi}{2}, \frac{7\pi}{4}, 2\pi \right\} \) to determine the \( x \) and \( y \) values at those points. **b.** Create a sketch of the curve indicating the direction of motion.
Transcribed Image Text:**Parametric Curve Exploration** Let \( c(t) = (\cos t, \sin(2t)) \). **a.** Construct a table for the parametric curve using \( t = \left\{ 0, \frac{\pi}{4}, \frac{\pi}{2}, \frac{3\pi}{4}, \pi, \frac{5\pi}{4}, \frac{3\pi}{2}, \frac{7\pi}{4}, 2\pi \right\} \) to determine the \( x \) and \( y \) values at those points. **b.** Create a sketch of the curve indicating the direction of motion.
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