Single Integer Answer Type Questions \( \mathrm{P} \) Let \( f(x) \...

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Single Integer Answer Type Questions
\( \mathrm{P} \)
Let \( f(x) \) be a twice differentiable bounded function
W satisfayi \( 2 f^{5}(x) \cdot f^{\prime}(x)+2\left(f^{\prime}(x)\right)^{3} \cdot f^{5}(x)=f^{\prime \prime}(x) \). If \( f(x) \) is bounded in between \( y=k \), and \( y=k_{2} \), Then the number of integers between \( k_{1} \) ancl \( k_{2} \) is/are (where \( \left.f(0)=f^{\prime}(0)=0\right) \)
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