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2012-11-26 15:55:31 +0100 asked a question how to calculate distance between origin and furthest point on graph?

Hello! I am new on this forum so forgive me if I don't respect all "rules" or if someone answered already this question. image description

If you take a look at the image, I just want to know how to calculate the distance between origin and the furthest dot on the graph.

code:

var('t')
ff = (exp(cos(t)) - 2*cos(4*t) + sin(t/12)^5)
parametric_plot((ff*cos(t),ff*sin(t)), (t,0,2*pi) , fill=True, fillcolor='orange', figsize=[3,3])