Eliminate the parameter to find a Cartesian equation that the curve. 0 votes

(a) sketch the curve by making use of the parametric equations to plot points. Show with an arrowhead the direction in i m sorry the curve is traced together t increases.(b) eliminate the parameter to uncover a Cartesian equation that the curve.

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(a)

Step 1:

The parametric equation room

end the interval
.

Observe the

.

So

.

Construct a table with different values that

.

Contd....

Step 2:

Now plot the graph for parametric equation

over
.

Indicate the obtained points top top the graph.

Based top top the values of

, indicate the direction the
together it boosts with one arrow.

Solution:

(b)

Step 1:

The parametric equation are

end the interval
.

Let us take

.

Substitute

in
.

.

So the Cartesian equation is

.

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Solution:

The Cartesian equation is

.