Question Number 95180 by mathocean1 last updated on 23/May/20 Commented by mathocean1 last updated on 23/May/20 $$\mathrm{Please}\:\mathrm{sirs}\:\mathrm{help}\:\mathrm{me}… \\ $$$$\mathrm{I}\:\mathrm{have}\:\mathrm{done}\:\mathrm{the}\:\mathrm{first}\:\mathrm{question}\:\mathrm{and}\:\mathrm{found} \\ $$$$\mathrm{as}\:\mathrm{result}\:\mathrm{25}. \\ $$ Terms of…
Question Number 160694 by naka3546 last updated on 04/Dec/21 $${Prove}\:\:{that}\:\: \\ $$$$\:\:\:\:\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\:+\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\:+\:\ldots+\:\frac{\mathrm{1}}{\:\sqrt{{n}}}\:\:<\:\mathrm{2}\sqrt{{n}} \\ $$ Answered by mindispower last updated on 04/Dec/21 $$\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{x}}}=\frac{\mathrm{2}}{\mathrm{2}\sqrt{\mathrm{1}+{x}}}<\frac{\mathrm{2}}{\:\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}}=\mathrm{2}\left(\sqrt{\mathrm{1}+{x}}−\sqrt{{x}}\right) \\ $$$$\underset{{k}=\mathrm{0}} {\overset{{n}−\mathrm{1}}…
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Question Number 160671 by stelor last updated on 04/Dec/21 $${please}\:\:\int\frac{{lnx}}{{x}+{lnx}}{dx}\:\:\:{calculate}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 160659 by ZiYangLee last updated on 04/Dec/21 $$\mathrm{Given}\:\mathrm{that}\:{y}''−\mathrm{4}{y}'+\mathrm{3}{y}=\mathrm{0}\:\mathrm{and}\:{y}\left(\mathrm{0}\right)=\mathrm{0}, \\ $$$${y}'\left(\mathrm{0}\right)=\mathrm{2},\:\mathrm{find}\:{y}\left(\mathrm{ln}\:\mathrm{2}\right). \\ $$ Answered by mr W last updated on 04/Dec/21 $${let}\:{y}={ae}^{{px}} \\ $$$${ap}^{\mathrm{2}}…
Question Number 160649 by Eric002 last updated on 04/Dec/21 $${les}\:{digonales}\:{d}'{un}\:{quadril}\grave {{e}re}\:{ABCD} \\ $$$$\left({inscriptible}\right)\:{se}\:{coupent}\:{en}\:{O}\:{on}\:{note} \\ $$$${AB}={a}\:;\:{BC}={b}\:;\:{CD}={c}\:;\:{AD}={d}\:;\:{OA}={e} \\ $$$${OB}={f}\:;\:{Oc}={g}\:;\:{OD}={h} \\ $$$${montrer}\:{que}: \\ $$$$\frac{{a}}{{c}}+\frac{{c}}{{a}}+\frac{{b}}{{d}}+\frac{{d}}{{b}}\leqslant\frac{{e}}{{g}}+\frac{{g}}{{e}}+\frac{{f}}{{h}}+\frac{{h}}{{f}} \\ $$ Terms of…
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Question Number 160630 by Brondon last updated on 03/Dec/21 $${f}\left({x}\right)={x}^{{x}^{{x}^{{x}^{{x}} } } } . \\ $$$${Df}\left({x}\right)=??? \\ $$$${svp}\:{les}\:{baos} \\ $$ Answered by stelor last updated…
Question Number 160625 by Jamshidbek last updated on 03/Dec/21 $$\underset{{x}\rightarrow\mathrm{0}+\mathrm{0}} {\mathrm{lim}}\left(\mathrm{x}^{\mathrm{x}} −\mathrm{1}\right)\mathrm{lnx} \\ $$ Answered by Mathspace last updated on 03/Dec/21 $${f}\left({x}\right)=\left({x}^{{x}} −\mathrm{1}\right){lnx}\:\Rightarrow \\ $$$$\left.{f}\left({x}\right)=_{{lnx}={t}}…
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