Question Number 138733 by mnjuly1970 last updated on 17/Apr/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…..{mathematical}\:….{analysis}….. \\ $$$$\:\:{suppose}\:\:\:\:{f}\::\left[{a}\:,\:{b}\right]\rightarrow\mathbb{R}\:{is}\:{a}\:{function} \\ $$$$\:\:\:{and}\:\:\:\alpha:\left[{a}\:,\:{b}\right]\overset{\alpha\nearrow} {\rightarrow}\mathbb{R}\:\left(\alpha\:{is}\:{an}\:{increasing}\:{function}\right. \\ $$$$\left.\:{on}\:\left[{a}\:,\:{b}\right]\right)\:\:{meanwhile}\:\alpha\:{is}\:{continuous}\:{at}\:{y}_{\mathrm{0}} \: \\ $$$$\:\:{where}\:\:\:{a}\leqslant{y}_{\mathrm{0}} \leqslant{b}\:\:.\:{defining}\: \\ $$$$\:\:\:{f}\left({x}\right)=\begin{cases}{\:\mathrm{1}\:\:\:\:\:\:\:\:\:{x}={y}_{\mathrm{0}} }\\{\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:{x}\neq{y}_{\mathrm{0}} }\end{cases}…
Question Number 7663 by malwaan last updated on 07/Sep/16 $$\int{tan}\sqrt{{x}\:}{dx} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138735 by SanyamJoshi last updated on 17/Apr/21 Answered by Ajaypareek last updated on 17/Apr/21 $$\mathrm{1} \\ $$ Answered by bramlexs22 last updated on…
Question Number 138734 by Ajaypareek last updated on 17/Apr/21 Commented by Ajaypareek last updated on 17/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7659 by Tawakalitu. last updated on 07/Sep/16 $${What}\:{is}\:{the}\:{sum}\:{of}\:{this}\:{sequence} \\ $$$${sin}^{\mathrm{2}} \left({x}\right)\:+\:{sin}^{\mathrm{2}} \left(\mathrm{2}{x}\right)+\:{sin}^{\mathrm{2}} \left(\mathrm{3}{x}\right)\:+\:…\:+\:{sin}^{\mathrm{2}} \left({nx}\right) \\ $$ Commented by prakash jain last updated on…
Question Number 138728 by qaz last updated on 17/Apr/21 $$\int_{\mathrm{0}} ^{\infty} \frac{{ln}\left(\mathrm{1}+\mathrm{cos}\:{x}\right)}{\mathrm{1}+{e}^{{x}} }{dx}=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138730 by mohammad17 last updated on 17/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7656 by Tawakalitu. last updated on 07/Sep/16 $${If}\:\:{S}_{{n}} \:\left({sum}\:{of}\:{sequence}\right)\:=\:\mathrm{2}{n}^{\mathrm{2}} \:+\:{n} \\ $$$${Find}\:{the}\:{value}\:{of}\:{the}\:\mathrm{1002}\:{term} \\ $$ Commented by prakash jain last updated on 12/Sep/16 $${n}^{{th}}…
Question Number 138725 by mathsuji last updated on 17/Apr/21 $${Solve}\:{for}\:{real}\:{numbers} \\ $$$$\frac{{sin}\left({sinx}\right)}{{sinx}}\:+\:\frac{{cos}\left({cosx}\right)}{{cosx}}\:=\:\mathrm{1} \\ $$ Answered by mr W last updated on 18/Apr/21 $${t}=\mathrm{sin}\:{x} \\ $$$$\mathrm{cos}\:{x}=\pm\sqrt{\mathrm{1}−{t}^{\mathrm{2}}…
Question Number 7655 by Tawakalitu. last updated on 07/Sep/16 $$\left(\frac{\mathrm{8}}{{x}}\right)^{{x}} \:=\:\:{x}^{\mathrm{2}} \\ $$$$ \\ $$$${Show}\:{that}\:\:{x}\:=\:\mathrm{4} \\ $$ Commented by FilupSmith last updated on 07/Sep/16 $$\mathrm{trial}\:\mathrm{and}\:\mathrm{error}…