Consider the function f(x) and g(x) on R, defined as f(x)=2x−x2 and – InterviewSolution

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1.	Consider the function f(x) and g(x) on R, defined as f(x)=2x−x2 and g(x)=xn where n∈N. If the area between y=f(x) and y=g(x) in the first quadrant is 12 sq. unit, then n is a divisor of
Answer» Consider the function $f (x)$ and $g (x)$ on $R,$ defined as $f (x) = 2 x - x^{2}$ and $g (x) = x^{n}$ where $n \in N .$ If the area between $y = f (x)$ and $y = g (x)$ in the first quadrant is $\frac{1}{2}$ sq. unit, then $n$ is a divisor of

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