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. (Headbang)

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- Nov 22nd 2010, 05:00 PMNirmal19Need 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. (Headbang) - Nov 22nd 2010, 05:15 PMpickslides
Tis the forums policy not to give answers to assignments.

I suggest you either plot some points or find a graphical calculator. - Nov 22nd 2010, 05:26 PMNirmal19
can you just help me with te name of the curve?

- Nov 22nd 2010, 06:54 PMMacstersUndead
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.