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

Equations with finding principals, I need help solving principal equations ...

I need help solving principal equations where interest,rate,and time are given.

Polar coordinates - parametric equations & polar coordinates, Polar Coordin...

Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system.  Though, as we will see, this is not all time the easie

Standard conventions in game theory, Standard conventions in game theory ...

Standard conventions in game theory Consider the given table: Y   3 -4 X -2 1

Prove that a/b+c-a, a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c ...

a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p To prove: (b+c-a)/a; (a+c-b)/b; (a+b-c)/c are in A.P or (b+c)/a; (a+c)/b; (a+b)/c are in A.P or 1/a; 1

Trignometery., using the formula sin A =under root 1+ cos2A /2 . find value...

using the formula sin A =under root 1+ cos2A /2 . find value of 30 degree, it is being given that cos 60 degree =1/2.

Differential equation, Verify Liouville''''s formula for y "-y" - y'''' + y...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)

What are intervals, A subset of the real line is called as an interval. Int...

A subset of the real line is called as an interval. Intervals are very significant in computing inequalities or in searching domains etc. If there are two numbers a, b € R such tha

Find the area of triangle, Find the area of TRIANGLE ? To find the area...

Find the area of TRIANGLE ? To find the area of a triangle, multiply the base (b) by the height (h), and divide the resulting number in half. In other words, area is. It is

Quadratic equation, If roots of (x-p)(x-q) = c are a and b what will be th...

If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c please explain. Solution)  (x-p)(x-q)=c x2-(p+q)x-c=0 hence,   a+b=p+q  and    a.b=pq-c

Accuray and Precision, If an instrument has precision of +-1, can it detect...

If an instrument has precision of +-1, can it detect a value of 1.3?

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