HOC24
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Câu 47: Cho hàm số \(f\left(x\right)\) nhận giá trị dương và có đạo hàm liên tục trên \(\left[0;1\right]\) sao cho \(f\left(1\right)=1\) và \(f\left(x\right).f\left(1-x\right)=e^{x^2-x}\) \(\forall x\in\left[0;1\right]\) . Tính \(I=\int\limits^1_0\dfrac{\left(2x^3-3x^2\right)f'\left(x\right)}{f\left(x\right)}dx.\)
A. \(\dfrac{-3}{10}\) B. \(\dfrac{-1}{10}\) C. \(\dfrac{-2}{10}\) D. \(\dfrac{-1}{5}\)
VII. Use the correct form or tense of the verb in brackets to fill in each blank.1. Keira Martin was rumoured ___________ (choose) for the whole series, but it wasn’t true. 2. Doctors and nurses (work) ___________ day and night to care for the refugees.3. Gradually the echoing voices disappeared and I felt as if I ___________ (cocoon) in silence.4. He mentioned ___________ (attend) the exhibition when it had been in London the previous year.5. His eyes were starting to ache because he ___________ (research) the topic all day.6. At this point, it is worth mentioning that many people who ___________ (adopt) as babies have no desire to meet their biological parents.