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

Mass marketing, is mass marketing completely dead?

is mass marketing completely dead?

Find the shortest length of wire needed, A 125-foot tower is located on the...

A 125-foot tower is located on the side of a mountain that is inclined at 32° to the horizontal. A guy wire is to be fitted to the top of the tower and anchored at a point 55 feet

Describe real numbers, Q. Describe Real numbers? Ans. There are a ...

Q. Describe Real numbers? Ans. There are a few different ways to describe real numbers. Without going into any of the very technical definitions used by mathematicians, I'

Trigonometry, If a+b+c = 3a , then cotB/2 cotC/2 is equal to

If a+b+c = 3a , then cotB/2 cotC/2 is equal to

value of integration , what is the value of integration limit n-> infinity...

what is the value of integration limit n-> infinity [n!/n to the power n]to the power 1/n Solution)  limit n-->inf.    [1 + (n!-n^n)/n^n]^1/n = e^ limit n-->inf.    {(n!-n^n)

Denote the statement in predicate calculus, Denote the subsequent statement...

Denote the subsequent statement in predicate calculus: "Everybody respects all the selfless leaders". Ans: For each X, if every Y that is a person respects X, then X is a selfl

Trigonometry identity, if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx...

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2

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