Describe the motion of a particle with position (x, y) as t varies in the given interval.
20. x = 2 + sin t, y = 1 + 3 cos t, π/2 ≤ t ≤ 2π
The parametric equation for is as below.
The parametric equation for y is as below.
Squaring and adding equations (1) and (2) to obtain the equation of motion of the particle, we get,
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