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Math Help - Need help with curve tracing

  1. #1
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    Exclamation Need help with curve tracing

    y=acosθ(4sinēθ-1)
    can anybody please help me trace this curve btw can you also tell me its name because this should also have a physical significance please help me its my mathematics assignment and i've tried much over it.
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  2. #2
    Master Of Puppets
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    Tis the forums policy not to give answers to assignments.

    I suggest you either plot some points or find a graphical calculator.
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  3. #3
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    can you just help me with te name of the curve?
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  4. #4
    Senior Member MacstersUndead's Avatar
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    Quote Originally Posted by Nirmal19 View Post
    y=acosθ(4sinēθ-1)
    If by "trace this curve" you mean "graph it", then you can

    first find the functions "zeros", if any, that is, the values of θ s.t. y = 0. (shouldn't be too difficult to fator)
    then you can take its derivative, then find the critical points such that y' = 0. then find the sign between each interval to see where it's increasing or decreasing
    then you can take its second derivative, find the critical points such that y'' = 0. then find the sign between each interval to see where it's concave up and concave down.

    this should give you enough information to draw a graph.
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