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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1, Problem 34RE

a.

To determine

Find parametric equations for the set of all points

Expert Solution

**Given information:**

Find parametric equations for the set of all points

**Calculation: **

Consider the figure

Whereas

Hence

For the triangles

Hence

Consider the triangle

Hence

The

Hence the point

To find the point

In the triangle

We know that

Now consider the triangle

And

The

The

Hence, the point

Find the distance

To get the distance

To get the distance

The triangles

Hence, in these two triangles

Hence, the required coordinates of the point

b.

To determine

Use the geometric description of the curve to draw a rough of the curve by hand.

Expert Solution

**Given information:**

Use the geometric description of the curve to draw a rough of the curve by hand. Check your work by using the parametric equations to graph the curve.

**Calculation:**

Draw the curve represented by the parametric equations

This curve is known as cissoids of Diocles.

The graph of the curve is shown below:

Hence, the result is plotted.