If \( f(x)=\lambda x^{2}+\mu x+12, f^{\prime}(4)=15 \) and \( f^{\prime}(2)=11 \), then find the...

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If \( f(x)=\lambda x^{2}+\mu x+12, f^{\prime}(4)=15 \) and \( f^{\prime}(2)=11 \), then find the values of \( \lambda \) and \( \mu \).
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