# A pair of parametric equations is given.3 cos(t), y4 sin(t), 0 sts 2Tx(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increasesуУ22хX2-2--2у2Xх-4-22-4-224-2(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

Question
Asked Nov 10, 2019
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Step 1

(a)

Given , ,

Plugging the value of t = 0, to obtain the x and y values:

Hence, the point is given by (3,0).

Plugging the value of t = π/2, to obtain the x and y values:

Hence, the point is given by (0,4).

Also as t goes from 0 to π/2, the point is moving in anticlockwise direction.

From the given graphs, the only graph satisfying the given points and in anticlockwise direction is:

Step 2

(b)

Given , ,

Rewriting the equations:

According to the trigon...

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