Example of parametric equations and parametric curves, Mathematics

Assignment Help:

Draw the parametric curve for the subsequent set of parametric equations.

X = t2+t

Y=2t-1

-1 < t < 1

Solution

Note that the only dissimilarity here is the existence of the limits on t. All these types of limits do is tell us that we cannot take any type of value of t outside of this range. Hence, the parametric curve will just only be a portion of the curve. Now here is the parametric curve for this instance.

506_Example of Parametric Equations and Parametric Curves 1.png

Note: that with this diagram we started and stopped the diagram right on the points originating from the end points of the range of t's.  In difference this with the diagram in the preceding example in which we had a portion of the diagram to the right of the "start" and "end" points that we computed.

In this case the curve begins at t = -1 and ends at t = 1, while in the preceding example the curve didn't actually start at the right most points that we calculated.  We require to be clear in our diagrams if the curve starts/ends right at a point, or if that point was just simply the first or last one that we calculated.


Related Discussions:- Example of parametric equations and parametric curves

Point, what will be the activity of the above said title

what will be the activity of the above said title

Formulas of surface area - applications of integrals, Formulas of Surface A...

Formulas of Surface Area - Applications of integrals S = ∫ 2Πyds          rotation about x-axis S = ∫ 2Πxds          rotation about y-axis Where, ds = √ 1 + (1+ (dy /

Share and dividend, i want to get market value of 10 popular shares of all ...

i want to get market value of 10 popular shares of all working days in a week

Math, who created math?

who created math?

Ronding off numbers, how to round off numbers to the nearest tens and to th...

how to round off numbers to the nearest tens and to the nearest hundred

Damping force, The subsequent force that we want to consider is damping. Th...

The subsequent force that we want to consider is damping. This force may or may not be there for any specified problem. Dampers work to counteract any movement. There are some w

Calculate probability, The following table contains some information about...

The following table contains some information about the model used. Assume the probabilities given by the model are those of being a good writer. Variable

Explain angle pairs, Explain angle pairs ? Adjacent angle pairs Two an...

Explain angle pairs ? Adjacent angle pairs Two angles are adjacent if they: 1. Have the same vertex. 2. Share a common side. 3. Have no interior points in common. Definit

Fraction, Ask question #Minimum 100 words accepted

Ask question #Minimum 100 words accepted

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd