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How to draw several contours for one function, while only one contour


Dear all,

Suppose I have two implicit functions, say, F(x, y) and G(x, y); both involve a parameter a.

In one Animate, I need:
 (1) several contours for function F(x, y) with its Max and Min values;
 (2) only one contour for function G(x, y)==0.
 (3) because I need to see how they change as parameter a changes, I want to use Animate to generate animation.

Can anybody help? Thanks.



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