    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.

You are watching: Eliminate the parameter to find a cartesian equation of the curve. (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 .