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 $${f}\left({x}\right)=\left({x}^{{x}} −\mathrm{1}\right){lnx}\:\Rightarrow \\ $$$$\left.{f}\left({x}\right)=_{{lnx}={t}}…
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Question Number 160626 by mkam last updated on 03/Dec/21 $$\int\:\frac{{lnz}}{{z}+{lnz}}\:{dz}\: \\ $$$$ \\ $$$${help}\:{me}\:{sir} \\ $$ Commented by mkam last updated on 03/Dec/21 $$???? \\…
Question Number 29541 by naka3546 last updated on 09/Feb/18 Commented by naka3546 last updated on 09/Feb/18 $${Prove}\:\:{that}\:\:{DF}\:\:{is}\:\:{perpendicular}\:\:{to}\:\:{IC}\:. \\ $$ Commented by ajfour last updated on…
Question Number 160615 by Gbenga last updated on 03/Dec/21 Commented by Gbenga last updated on 03/Dec/21 $${number}\:\mathrm{2} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 160605 by ZiYangLee last updated on 03/Dec/21 $$\mathrm{Given}\:\mathrm{that}\:{y}=\left(\mathrm{3}\:\mathrm{sin}\:{x}−\mathrm{4}\:\mathrm{cos}\:{x}+\mathrm{6}\right)^{\mathrm{2}} ,\:\mathrm{0}\leqslant{x}\leqslant\mathrm{2}\pi. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{value}\:\mathrm{of}\:{y}. \\ $$ Commented by cortano last updated on 03/Dec/21 $$\mathrm{y}=\left[\mathrm{5}\left(\frac{\mathrm{3}}{\mathrm{5}}\mathrm{sin}\:\mathrm{x}−\frac{\mathrm{4}}{\mathrm{5}}\mathrm{cos}\:\mathrm{x}\right)+\mathrm{6}\right]^{\mathrm{2}} \\ $$$$\mathrm{y}=\left[\mathrm{5sin}\:\left(\alpha−\mathrm{x}\right)+\mathrm{6}\right]^{\mathrm{2}}…