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1992BC3 - 149-1 803 3 At time t 0 S t s 21 the position of...

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Unformatted text preview: 149-1- 803 3. At time t, 0 S t s 21:, the position of a particle moving along a path in the xy-plane is given by the parametric equations x = e‘ sin t and y = (2' cos r. (3) Find the slope of the path of the particle at time t = . Ni?! (b) Find the speed of the particle when t = l. (c) Find the distance traveled by the particle along the path from t = 0 to t = l. a.) fig- 2- et(‘$int) +eteost = ebfiost -s:nt) '33:" = 3t cost + etsfnt = at (costat-sint) a g = 2% = cast—slut at: BEE!" cost +ant % ‘5') v= 3% = s/(éé'): +(‘fi'f = Jaatémt +Sintf+e (east- sin-t) = aw cos‘e +2cost scat Heft +cosa't-2eest stat +sza‘e _—_ if; lwken tel, Speed is' 3J3! ,; I c.) S—Jtordt —foe, J2 alt - 3 Ja] e fie-J3.- == (ea-1M5. Dist-Mu waded «0mm. t-D +9 ts! is J5." (e-I 1992 BC3 ...
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