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

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.(b) Eliminate the parameter to find a Cartesian equation of the curve.

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Please log in or register to add a comment. Please log in or register to answer this question. 3 Answers 0 votes

(a)

**Step 1:**

The parametric equation are

over the interval .Observe that

.So

.Construct a table with different values of

.Contd....

**Step 2:**

Now plot the graph for parametric equation

over .Indicate the obtained points on the graph.

Based on the values of

, indicate the direction of as it increases with an arrow.**Solution:**

(b)

**Step 1:**

The parametric equation are

over the interval .Let us take

.Substitute

in ..So the Cartesian equation is

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**Solution:**

The Cartesian equation is

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