Sum of real roots: \( 4 + 9 = 13 \)
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- \Rightarrow u(u - 2)(u - 3) = 0
- Solutions: \( u = 0 \), \( u = 2 \), \( u = 3 \)
- But \( v > 0 \), so \( u = \sqrt{v} > 0 \), thus \( u = 0 \) is invalid. Valid solutions: \( u = 2 \Rightarrow v = 4 \), \( u = 3 \Rightarrow v = 9 \)
- oxed{13}
- Question: A plant biologist studying drought resistance defines a function \( f(t) = t - rac{t^3}{6} \) to model stress response. Define \( c_n \) by \( c_1 = 0.5 \) and \( c_{n+1} = f(c_n) \). Determine \( \lim_{n o \infty} c_n \), assuming convergence.
- Solution: Assume \( \lim_{n o \infty} c_n = L \). Then taking limits:
