1. The problem asks to find $K_\infty$ and $\beta$ given the expression: $$K_\infty = \frac{(2.00 - 1 - u) + \beta (2.00^2 - 1 - u^2)}{5}$$ 2. First, note that the expression involves variables $u$, $\beta$, and the constant 5 in the denominator. 3. We can rewrite the numerator terms: - $2.00 - 1 - u = 1 - u$ - $2.00^2 - 1 - u^2 = 4 - 1 - u^2 = 3 - u^2$ 4. Substitute these back in: $$K_\infty = \frac{(1 - u) + \beta (3 - u^2)}{5}$$ 5. Since the problem does not provide explicit values for $u$, more information or context is needed to find numeric values for $K_\infty$ and $\beta$. 6. If we had additional conditions or values for $K_\infty$ and $u$, we could solve for $\beta$. 7. Please provide any additional known values or context to proceed.