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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.

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

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parametric-equationaskedJan 31, 2015in CALCULUSby anonymous
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

*
.

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answeredFeb 1, 2015by yamin_mathMentor Please log in or register to add a comment. 0 votes

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:

answeredFeb 1, 2015by yamin_mathMentor Please log in or register to add a comment. 0 votes

(b)

Step 1:

The parametric equation are

*
over the interval
*
.

Let us take

*
.

Substitute

*
in
*
.

*
.

So the Cartesian equation is

*
.

See more: Oh I Know Exactly Why I Have This Boner!, Yona Of The Dawn 20

Solution:

The Cartesian equation is

*
.

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