graph III. Solve the following problem Suppose that the position of one particle at time is given by x₁ = 3 sint 3₁ = 2 cost And the position of a second particle is given by at hud noitation ni boazuoelb amioq solsillos siluoda moldong drago 8. y₂ = 1 + sint 0 ≤t≤ 2π (path 2) novig al slainy boosse bil x₂ = −3+ cost a) Graph the paths of both particles (you can use your calculator for this). How many points of intersection are there? 0 ≤t≤ 2π (path 1) b) Are any of these points of intersection collision points? I.e. are the particles ever in the same place at the same time? If so, find the collision points ^₂

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A: Please refer the attached image for complete solution.

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A:

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A: Please see the below pictures for detailed solution.

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A: Here we have, -8x+8-1=47

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