Question
Asked Nov 4, 2019
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Describe the motion of a particle with position (x, y) as t varies in the given interval.
x = 3sin(t)
y = 4cos(t)
-π ≤ t ≤ 6π

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Expert Answer

Step 1

To find: The motion of particle.

The expression is rewritten as,

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x 3sin ) x sin (t =4cos(t) y coS(t) 4

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Step 2

Substitute the values in formula, sin2(x)+cos2(y) = 1,

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x y 1 4 3 y2 -1 16 9 The equation is in form of ellipse

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Step 3

Substitute the initial point of t interval in x(t)...

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x 3sin =-3sin (T y 4cos) 4cos( 4(-1) y =4

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