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Home » Ahora sustituimos de nuevo en la identidad de la suma de cubos: - Nelissen Grade advocaten

Ahora sustituimos de nuevo en la identidad de la suma de cubos: - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \Rightarrow 17298 + d = 20 \Rightarrow d = -17278

📌 Thus, $ E(0) = d = -17278 $.

📌 \boxed{-17278}

📌 Question: A behavioral researcher finds that the attention span $ A(t) $ (in minutes) of children during a tech-based activity after $ t $ hours is modeled by a quadratic $ A(t) = pt^2 + qt + r $. If $ A(1) = 25 $, $ A(2) = 32 $, and $ A(3) = 33 $, find the maximum attention span predicted by this model.

📌 Solution: Use the system:

📌 $ p + q + r = 25 $

📌 $ 4p + 2q + r = 32 $

📌 $ 9p + 3q + r = 33 $

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lpha^4 + 3 = -4 + 3 = -1 = a(1+i) + b = a + ai + b
Equating real and imaginary parts:
Real: \( a + b = -1 \)
Imaginary: \( a = 0 \)
Wait â imaginary part gives \( a = 0 \)? But then from real: \( b =...
Now try \( u = eta = 1 - i \):
eta^2 = (1 - i)^2 = 1 - 2i + i^2 = 1 - 2i - 1 = -2i
eta^4 = (-2i)^2 = 4i^2 = -4
eta^4 + 3 = -1 = a(1 - i) + b = a - ai + b
Imaginary part: \( -a = 0 \Rightarrow a = 0 \), then \( b = -1 \)

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