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

Distinct roots, There actually isn't a whole lot to do throughout this case...

There actually isn't a whole lot to do throughout this case.  We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,

Determine the number of full withdrawals, A worker retires with a lump sum ...

A worker retires with a lump sum superannuation benefit of $500,000. She immediately invests this money in a fund earning 5% pa effective. One year after retirement she begins maki

Shares and dividends, I have a maths assignment as- Use a newspaper to stud...

I have a maths assignment as- Use a newspaper to study and give a report on shares and dividends.

Circles - common polar coordinate graphs, Circles - Common Polar Coordinate...

Circles - Common Polar Coordinate Graphs Let us come across at the equations of circles in polar coordinates. 1. r = a . This equation is saying that there is no matter

Retail price index, Retail price index This is weighted average of pri...

Retail price index This is weighted average of price relatives based on an average household in the base year. The items consumed are divided into groups as liker food, transp

I Need Help, If 3200 sweets cost 30 US Dollars how much will 13,500 sweets ...

If 3200 sweets cost 30 US Dollars how much will 13,500 sweets cost ?

Differance between expanded notation vs. standard notation , Differance bet...

Differance between Expanded Notation vs. Standard Notation ? A number written in expanded notation is broken down into parts just like it is in a place-value table. Example

Question, Hi I have a maths question related to construction as its a cons...

Hi I have a maths question related to construction as its a construction management course...i could send some example sheets too...could it be done?

Find the area of the shaded region, ABC is a right angled triangle in which...

ABC is a right angled triangle in which ∠A = 900. Find the area of the shaded region if AB = 6 cm, BC=10cm & I is the centre of the Incircle of ?ABC. Ans: ∠A =90 0 BC

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