Sketch Curve: Parametric Equations x=e^-t+t, y=e^t-t

  • Thread starter Thread starter baokhuyen
  • Start date Start date
  • Tags Tags
    Curve Parametric
Click For Summary
SUMMARY

The discussion focuses on sketching the curve defined by the parametric equations x = e^(-t) + t and y = e^t - t. Participants emphasize that while eliminating the parameter t is a common approach, it is not necessary for sketching the curve. Instead, evaluating specific values of t and plotting the corresponding points is a valid method to visualize the curve. This approach allows for a straightforward representation without complex algebraic manipulation.

PREREQUISITES
  • Understanding of parametric equations
  • Familiarity with exponential functions
  • Basic graphing skills
  • Knowledge of plotting points on a Cartesian plane
NEXT STEPS
  • Learn how to eliminate parameters in parametric equations
  • Explore the properties of exponential functions
  • Practice sketching curves from parametric equations
  • Investigate the use of graphing software for visualizing parametric curves
USEFUL FOR

Students studying calculus, mathematics educators, and anyone interested in graphing parametric equations.

baokhuyen
Messages
9
Reaction score
0

Homework Statement


sketch the curve of parametric equations:
x= e^-t + t
y= e^t - t


Homework Equations





The Attempt at a Solution


I don;t know how to eliminate the parameter
Can anyone help me?
 
Physics news on Phys.org
It's possible to sketch the curve without trying to eliminate the parameter, which I'm not even sure you can do. Just put in a few values of t and connect them with a curve.
 

Similar threads

Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 7 ·
Replies
7
Views
1K