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

Envision math common core, how do i write a conjecture about the sum of two...

how do i write a conjecture about the sum of two negative integers.

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

what will be the activity of the above said title

Integers, What are some equations for 36?

What are some equations for 36?

Analysis of algorithm running time - undirected graph, Problem. You are giv...

Problem. You are given an undirected graph G = (V,E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1, 2, . .

Types of series - special series , Series - Special Series In this pa...

Series - Special Series In this part we are going to take a concise look at three special series.  In fact, special may not be the correct term.  All three have been named th

Algebra, Manuel is a cross-country runner for his school’s team. He jogged ...

Manuel is a cross-country runner for his school’s team. He jogged along the perimeter of a rectangular field at his school. The track is a rectangle that has a length that is 3 tim

How to raise powers of monomials, How to raise Powers of Monomials ? To ...

How to raise Powers of Monomials ? To raise a monomial to a certain power: Step 1: Place the entire monomial inside parentheses, and place the desired power outside the paren

The square of a positive number is 49 what is the number, The square of a p...

The square of a positive number is 49. What is the number? Let x = the number.  The sentence that is , "The square of a positive number is 49," translates to the equation x 2

Differential equation, Find the normalized differential equation which has ...

Find the normalized differential equation which has {x, xe^x} as its fundamental set

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