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Describe the motion of a particle with position (x,y) as t varies in the given interval. x=3sint, y=1+cost, 0≤t≤3π/2

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batolisis

Answer:

The motion is centered about (0,1)

Step-by-step explanation:

x = 3sint ---- (1)

y = 1 + cos(t) ----- (2)

x^2 = 9 *sin(t)*sin(t)  

hence; (x^2)/9 = sin(t)*sin(t) ---- (3)

y-1 = cos(t)  

hence; (y-1)^2 = cos(t) * cos(t)  ---- (4)

adding  equation 3 and 4

(x^2)/9 + ( y - 1 )^2 = 1

The motion is centered about (0,1)

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