Question

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* ≤ 2*π*

Solution Preview

**Calculations:**

The parametric equation for

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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