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Consider the parametric equations below. x=t+cos(t), y-t-sin(t), Osts 2x Set up an integral that represents the length o
Posted: Mon Jul 11, 2022 11:14 am
by answerhappygod
- Consider The Parametric Equations Below X T Cos T Y T Sin T Osts 2x Set Up An Integral That Represents The Length O 1 (20.68 KiB) Viewed 36 times
Consider the parametric equations below. x=t+cos(t), y-t-sin(t), Osts 2x Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places. Step 1 For a curve given by parametric equations x= f(t), y g(t), arc length is given by: dx - 1*√ (@)² + ( dt We have xt + cos(t) and yt-sin(t), 0 sts 2x. So, dx L = 1-sin t dx dy + dt Step 2 Now, remembering that sin?(t) + cos2(t)= dt. ✓1-sin (t) and -1-cos t dy dt dy dt = we have: √(1-sin(t))² + (1-cos(t))² 1- cos (t) sin(t) + cos(t).