A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Find a polar equation for the curve represented by the given Cartesian equation: a) 5x+2y=5 Write the answer in the form r=f(t) where t stands for θ. Find r b) x2−y2=3 Write the answer in the form r2=f(t) where t stands for θ. Find r^2

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

    For polar coordinates we have \[x=rcos(\theta)\] \[y = rsin(\theta)\]\[r = \sqrt{x^2+y^2}\]

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

    \[5x+2y=5 \implies 5(rcos(\theta)+2rsin(\theta))=5\] now mess around with it, and see what you get :-)

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

    i don't know how to solve further can you help?

  4. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Each term contains an r, try factoring! :)

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

    cos()+1/2sin() =r but wasn't right

  6. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I don't understand what you did... where are the 5's? \(\large\rm 5r\cos\theta+2r\sin\theta=5\) Factor out an r from each term, \(\large\rm r(5\cos\theta+2\sin\theta)=5\) Then just divide both sides by that big bracketed thing, ya?

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

    cos(t)+5/2sin(t) ?

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

    still wasn't right

  9. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ?? 0_o

  10. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large\rm r(stuff)=5\qquad\to\qquad r=\frac{5}{stuff}\]

  11. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The division should be simple, I think maybe you're over complicating it :O

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

    Zeps right, you're just one step away from completing it :P

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

    (5/5cos(t))+(5/2sint) is what i put but it wasn't right

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

    \[r = \frac{ 5 }{ (5 \cos \theta+2\sin \theta) }\] let theta = t

  15. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you can't split it into two fractions like that nick.

  16. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large\rm \frac{a}{b+c}\ne\frac{a}{b}+\frac{a}{c}\]

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

    oh okay thanks

  18. 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.