Heart Area
Let \(H\) denote the area of a heart with equation \( x^2+y^2 = |x|y + 1\). Your task is to accurately compute the first few digits of \(H\). For example the \(1^{\mbox{st}}\) digit of \(H\) after the decimal point is \(6\).| Part A | What are the \(2^{\mbox{nd}}\) to \(7^{\mbox{th}}\) digits of \(H\) after the decimal point? | |
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| Part B | What are the \(2021^{\mbox{st}}\) to \(2029^{\mbox{th}}\) digits of \(H\) after the decimal point? |