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Chapter 10: Q.6 (page 694)

True or False Curves defined using parametric equations have an orientation.

Short Answer

Expert verified

true

Step by step solution

01

Step. 1 Description

Given Curves defined using parametric equations have an orientation.

we have to find out if it is true or false.

02

Step 2. Simplification

The statement "curves defined using parametric equations have an orientation" is true.

The curves defined using parametric equation defines direction or orientation. Hence it is particulary useful in describing movement along a curve.

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Most popular questions from this chapter

Find an equation for each ellipse. Graph the equation by hand.

Center at $(1, 2)$ vertex at $(1, 4)$ contains the point $(1 + \sqrt{3}, 3)$ .

Find an equation for each ellipse. Graph the equation by hand.

Foci at $(5, 1)$ and $(- 1, 1)$ : length of the major axis is $8$ .

To complete the square of $x^{2} - 3 x$ , add $______$ .

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Focus is at $(0, - 3)$ and vertex at $(0, 0)$ .

In Problems 31– 42, rotate the axes so that the new equation contains no $x y$ -term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40.

5 x^{2} + 6 x y + 5 y^{2} - 8 = 0

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