The Shading of Double Petaled Flowers

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Here is the shape that I am trying to shade in. I have the outline.

enter image description here

Here are the equations that I used:

enter image description here

quad

I was wondering how I could manipulate these domains and ranges or maybe the equations. I was thinking of maybe using logarithmic functions and exponential functions.

Like this: op

However, I don't know how to apply that into here. I was wondering if someone could help me. Thank you

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Is this what you're looking for? Here's the Desmos page I used for this: https://www.desmos.com/calculator/uufjsoibha

enter image description here