Unformatted text preview: 1491 803 3. At time t, 0 S t s 21:, the position of a particle moving along a path in the xyplane 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 (costatsint)
a g = 2% = cast—slut at: BEE!" cost +ant
% ‘5') v= 3% = s/(éé'): +(‘ﬁ'f = Jaatémt +Sintf+e (east sint)
= aw cos‘e +2cost scat Heft +cosa't2eest stat +sza‘e
_—_ if; lwken tel, Speed is' 3J3! ,; I
c.) S—Jtordt —foe, J2 alt  3 Ja]
e fieJ3. == (ea1M5. DistMu waded «0mm. tD +9 ts! is J5." (eI 1992 BC3 ...
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