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- Substitute \( k = 15 \) into (4):
- 3(15) + m = 30 \implies 45 + m = 30 \implies m = -15
- Substitute \( k = 15 \), \( m = -15 \) into (1):
- Thus, the coefficients are \( k = 15 \), \( m = -15 \), \( n = 120 \).
- \boxed{k = 15, \, m = -15, \, n = 120}
- Question:** In a machine learning model, the cost function is given by \( C(w) = pw^2 + qw + r \). If \( C(1) = 10 \), \( C(2) = 18 \), and \( C(3) = 30 \), find the parameters \( p \), \( q \), and \( r \).