Question Number 70913 by TawaTawa last updated on 09/Oct/19 Commented by mathmax by abdo last updated on 10/Oct/19 $${we}\:{have}\:\frac{{z}^{\mathrm{2017}} −\mathrm{1}}{{z}−\mathrm{1}}\:=\prod_{{k}=\mathrm{1}} ^{\mathrm{2016}} \left({z}−{e}^{\frac{{i}\mathrm{2}{k}\pi}{\mathrm{2017}}} \right) \\ $$$${z}=−\mathrm{1}\:\Rightarrow\mathrm{1}\:=\prod_{{k}=\mathrm{1}}…
Question Number 136445 by aupo14 last updated on 22/Mar/21 Answered by liberty last updated on 22/Mar/21 $${let}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\:{x}} \:\frac{{t}−\mathrm{3}}{{t}^{\mathrm{2}} +\mathrm{7}}\:{dt}\: \\ $$$${f}\:'\left({x}\right)=\:\frac{{x}−\mathrm{3}}{{x}^{\mathrm{2}} +\mathrm{7}}\:=\:\mathrm{0}\Rightarrow{x}=\mathrm{3} \\ $$$${f}\:''\left({x}\right)\mid_{{x}=\mathrm{3}}…
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Question Number 70909 by rajesh4661kumar@gmail.com last updated on 09/Oct/19 Commented by rajesh4661kumar@gmail.com last updated on 10/Oct/19 $$\mathrm{28} \\ $$ Commented by Abdo msup. last updated…
Question Number 136440 by liberty last updated on 22/Mar/21 $$\:\int\:\frac{{dx}}{\mathrm{sin}\:^{\mathrm{6}} {x}}\:? \\ $$ Answered by rs4089 last updated on 22/Mar/21 $$\int{cosec}^{\mathrm{6}} {x}.{dx} \\ $$$$\int\left(\mathrm{1}+{cot}^{\mathrm{2}} {x}\right)^{\mathrm{2}}…
Question Number 136437 by liberty last updated on 22/Mar/21 $${Find}\:{max}\:{and}\:{min}\:{value}\:{of}\: \\ $$$${y}\:=\:\mathrm{sin}\:^{\mathrm{2}} {x}+\:\mathrm{cos}\:^{\mathrm{4}} {x}\: \\ $$ Answered by rs4089 last updated on 22/Mar/21 $${y}=\mathrm{1}−{cos}^{\mathrm{2}} {x}+{cos}^{\mathrm{4}}…
Question Number 5365 by sanusihammed last updated on 11/May/16 $${If}\:\:{y}\:=\:{x}^{{x}^{{x}^{{x}} } } \:\:\:.\:\:{Find}\:{dy}/{dx} \\ $$ Answered by Yozzii last updated on 11/May/16 $${lny}={x}^{{x}^{{x}} } {lnx}\:\:\:\left({x}>\mathrm{0}\right)…
Question Number 5364 by sanusihammed last updated on 11/May/16 $${Find}\:{the}\:{integral}\:{solution}\:{of}\:\:\:\:\:\:{x}^{{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136433 by metamorfose last updated on 21/Mar/21 $$\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{C}_{\mathrm{2}{n}+\mathrm{1}} ^{\mathrm{2}{k}+\mathrm{1}} \mathrm{8}^{{k}} =…??? \\ $$ Answered by Olaf last updated on 22/Mar/21 $$…