Question Number 216800 by depressiveshrek last updated on 21/Feb/25 Answered by MrGaster last updated on 21/Feb/25 $$\mathrm{Prove}:{f}\left({x}\right)={a}\left({x}−{r}_{\mathrm{1}} \right)^{{m}_{\mathrm{1}} } \left({x}−{r}_{\mathrm{2}} \right)^{{m}_{\mathrm{2}} } \ldots\left({x}−{r}_{{k}} \right)^{{m}_{{k}} }…
Question Number 216694 by sniper237 last updated on 16/Feb/25 $${Prove}\:{that}\:\:^{\mathrm{3}} \sqrt{\sqrt{\mathrm{5}}+\mathrm{2}}\:−^{\mathrm{3}} \sqrt{\sqrt{\mathrm{5}}−\mathrm{2}}\:=\mathrm{1} \\ $$ Answered by golsendro last updated on 16/Feb/25 $$\:\mathrm{let}\:\mathrm{x}=\:\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{5}}+\mathrm{2}}−\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{5}}−\mathrm{2}} \\ $$$$\:\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{5}}+\mathrm{2}}−\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{5}}−\mathrm{2}}−\mathrm{x}\:=\:\mathrm{0}\: \\…
Question Number 216638 by Nadirhashim last updated on 13/Feb/25 $$\:\:\boldsymbol{{without}}\:\boldsymbol{{using}}\:\boldsymbol{{LHopital}} \\ $$$$\:\:\:\boldsymbol{{rule}}\:\boldsymbol{{evalute}}\: \\ $$$$\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\boldsymbol{{ln}}\left(\mathrm{1}−{x}\right)−\boldsymbol{{sin}}\left(\boldsymbol{{x}}\right)\:}{\mathrm{1}−\boldsymbol{{cox}}^{\mathrm{2}} \left(\boldsymbol{{x}}\right)} \\ $$ Commented by MathematicalUser2357 last updated on 13/Feb/25…
Question Number 216411 by MathematicalUser2357 last updated on 07/Feb/25 $$\frac{{dx}}{{dx}} \\ $$ Answered by MATHEMATICSAM last updated on 07/Feb/25 $$\mathrm{1} \\ $$ Terms of Service…
Question Number 215979 by alcohol last updated on 23/Jan/25 $${u}_{{n}} \:=\:\underset{{k}={n}+\mathrm{1}} {\overset{\mathrm{2}{n}} {\sum}}\frac{\mathrm{1}}{{k}}\:{and}\:{v}_{{n}} \:=\:\underset{{k}={n}} {\overset{\mathrm{2}{n}−\mathrm{1}} {\sum}}\frac{\mathrm{1}}{{k}} \\ $$$$\bullet\:{show}\:{that}\:{u}_{{n}} \:{and}\:{v}_{{n}} \:{are}\:{adjacent} \\ $$$${use}\:{ln}\left({x}+\mathrm{1}\right)\:\leqslant\:{x}\:{and}\:{x}\leqslant−{ln}\left(\mathrm{1}−{x}\right)\:{and} \\ $$$$\bullet\:{show}\:{that}\:{u}_{{n}} \:\leqslant\:\underset{{k}={n}+\mathrm{1}}…
Question Number 215971 by jigar last updated on 23/Jan/25 $$\frac{}{} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 215958 by Tawa11 last updated on 22/Jan/25 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{only}\:\mathrm{function}\:\mathrm{that}\:\mathrm{satisfy} \\ $$$$\mathrm{the}\:\mathrm{expression}\:\mathrm{below}: \\ $$$$\:\:\:\:\:\:\:\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)^{\mathrm{2}} \:\:=\:\:\:\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} } \\ $$ Answered by Ghisom last updated on…
Question Number 215809 by efronzo1 last updated on 18/Jan/25 $$\:\:\:\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{2}\:+\:\underset{\mathrm{1}} {\overset{−\mathrm{x}^{\mathrm{3}} } {\int}}\sqrt{\mathrm{2}+\mathrm{u}^{\mathrm{2}} }\:\mathrm{du}\: \\ $$$$\:\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{d}}{\mathrm{dx}}\:\left[\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)\right]_{\mathrm{x}=\mathrm{2}} \\ $$ Answered by mr W last updated…
Question Number 215528 by alephnull last updated on 09/Jan/25 Commented by mr W last updated on 10/Jan/25 $${this}\:{is}\:{not}\:{a}\:{question},\:{actually}\:{pure} \\ $$$${non}−{sense}\:{with}\:{a}\:{lot}\:{of} \\ $$$${mathematical}\:{symbols}\:{stacked} \\ $$$${together}. \\…
Question Number 215199 by efronzo1 last updated on 31/Dec/24 $$\:\:\:\:\:\downharpoonleft\underline{\:} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com