Solving Parametric Equations for y=√x

Click For Summary
SUMMARY

The discussion focuses on generating three sets of parametric equations for the function y=√x. The provided solutions include: 1) x=t, y=√t; 2) x=3t, y=√3t; and 3) x=t+3, y=√(t+3). Participants confirm that these answers are valid and suggest exploring more creative approaches, such as using x=t² to derive corresponding y values. This indicates a broader understanding of parametric equations is beneficial.

PREREQUISITES
  • Understanding of parametric equations
  • Basic knowledge of calculus concepts
  • Familiarity with square root functions
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Explore advanced parametric equations in calculus
  • Learn about the relationship between parametric equations and Cartesian coordinates
  • Investigate creative transformations of functions
  • Study the implications of varying parameters in parametric equations
USEFUL FOR

Students in calculus courses, educators teaching parametric equations, and anyone looking to deepen their understanding of mathematical functions and their representations.

SPhy
Messages
24
Reaction score
0
Even problem in 2nd semester calc book.

Homework Statement



Come up with three sets of PE for y=√x


The Attempt at a Solution



This is the first time in my math education that I've come across parametric equations where I am required to give 2 or more sets.

The first one:

x=t y=√t

Second:

x=3t y=√3t

Third:

x=t+3 y=√t+3

----

My approach seems too easy; I have a sense my intuition on parametric equations is lacking, but any help would be appreciated!
 
Physics news on Phys.org
There is nothing wrong with your answers. You could be more creative if you want to. For example if you let ##x=t^2## and ##y=~?##.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
Replies
10
Views
3K
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
Replies
12
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K