A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

k8lyn911

  • one year ago

Calculus III Homework Help: Eliminate the parameter to find a Cartesian equation of the curve. x=t-1, y= t^3 +1, -2 <= t <= 2 I'm just trying to get a basic understanding of how to do this kind of problem so I can type it up in Mathematica. If anyone knows the format for that, I'd really appreciate some help.

  • This Question is Closed
  1. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Eliminate the parameter? :o Hmm I guess you could solve for t in your x equation,\[\large\rm x=t-1\qquad\to\qquad \color{royalblue}{t=x+1}\]and then sub that into the other equation,\[\large\rm y=(\color{royalblue}{t})^3+1\]And then also get some boundaries for x using your first equation using the old t boundaries. Mathematica I don't know though. :c

  2. k8lyn911
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay. How do I go about finding the new limits? Like how t ranges from -2 to 2. In the examples I've looked at, those change without any explanation. Would I plug -2 and 2 into one of these equations?

  3. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \(\large\rm x=t-1\) t ranges from -2 to 2, Which means x will range from: \(\large\rm x=(-2)-1\) to \(\large\rm x=(2)-1\) ya? :)

  4. k8lyn911
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, that helps so much! Thank you!

  5. k8lyn911
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is the Cartesian equation y = 2 + 3 x + 3 x^2 + x^3 ?

  6. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    You expanded out the cube? Mmmm ya! That looks correct! :)

  7. k8lyn911
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is just how the answer came out in Mathematica. Our assignment is use Mathematica to find the answers, so I'm mostly here to double check them. I'm so sleep deprived at this point that nothing seems to make sense anymore.

  8. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Oh I see :) lol

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.