Let \( \mathrm{f}(\mathrm{x}) \) be a differentiable function, sati...
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Let \( \mathrm{f}(\mathrm{x}) \) be a differentiable function, satisfying \( \mathrm{f}(0)=2 \),
\( \mathrm{P} \) \( \mathrm{f}^{\prime}(0)=3 \) and \( \mathrm{f}^{\prime}(\mathrm{x})=\mathrm{f}(\mathrm{x}) \)
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Area enclosed by \( \mathrm{y}=\mathrm{f}(\mathrm{x}) \) in the second quadrant is
(a) \( 3+\frac{1}{2}(n \sqrt{5} \)
(b) \( 2+\frac{1}{2} \ln 5 \)
(c) \( 3-\sqrt{5} \)
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