Explore BrainMass

Explore BrainMass

    Polar Forms : Cardinoid, Rose Curve, Lemniscate and Limacon

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Questions: 4,6,10,12,18,22,26,30,34,36,42,44,46,48,50 on page 6.3.
    2,8,22,14,18,12,24 on page 393

    4. Identify each of the curves as a cardinoid, rose curve (state number of petals), lemniscate, limacon, circle, line of none of the above.

    Please see attached for all questions.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:17 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/polar-forms-cardinoid-rose-curve-lemniscate-limacon-38246

    Attachments

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    Problem set 6.3
    4. Here, I draw the graph for all a to h so that you can see them clarLy.
    a) rose curve (4 petals)

    b) leminscate

    c) circle

    d) rose curve (16 petals)

    e) none (spiral)

    f) leminscate

    g) rose curve (3 petals)

    h) cardioid

    6) To plot, you need to make a table of various  and r values.
     r
    0 3
    0.5 3
    1 3
    1.5 3
    2 3
    2.5 3
    3 3
    3.5 3

    10)
     r
    0 2
    0.5 1.080605
    1 -0.83229
    1.5 -1.97998
    2 -1.30729
    2.5 0.567324
    3 1.920341
    3.5 1.507805
    4 -0.291
    4.5 -1.82226

    12) ...

    Solution Summary

    Cardinoids, Rose Curves, Lemniscates and Limacons are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

    $2.49

    ADVERTISEMENT