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anonymous

  • one year ago

Is there a way to tell if an equation is a cardioid or a limacon without graphing it? I'm supposed to tell what shape r=2+2sin theta is, but cardioid and limacon equations look the same. I know cardioids come from limacons, so maybe I should say that.

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  1. anonymous
    • one year ago
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    @Astrophysics if you aren't busy, can you help me?

  2. anonymous
    • one year ago
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    @Ashleyisakitty @satellite73 @jim_thompson5910 @TheSmartOne @Nnesha @Loser66 @wio @sammixboo @kropot72

  3. Astrophysics
    • one year ago
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    Not quite, you need to know what the equations look like, cardoids are as the following \[r = a \pm a \cos \theta~~~\text{and}~~~r = a \pm a \sin \theta\] |dw:1434418408816:dw| see if you can figure out these graphs. And limacons are in the following form \[r = b+a \cos \theta~~~\text{and}~~~r = b + a \sin \theta\] horizontal and vertical respectively. And they can be looped, if b<a, dimpled a<b<2a, and in a convex form if 2a less than equal to b. Notice that if a = b, then it's a cardioid.

  4. anonymous
    • one year ago
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    Okay, thanks!

  5. Astrophysics
    • one year ago
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    Np :)

  6. Astrophysics
    • one year ago
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    Notice that, one of the graphs is your equation!

  7. anonymous
    • one year ago
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    Yup!, the second one

  8. Astrophysics
    • one year ago
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    Yup :P

  9. anonymous
    • one year ago
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    :)

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