Question Number 128221 by john_santu last updated on 05/Jan/21 $$\:{Given}\:{f}\left({x}+\frac{\mathrm{1}}{{x}}\right)\:=\:{x}^{\mathrm{4}} −\frac{\mathrm{1}}{{x}^{\mathrm{4}} }+\mathrm{2} \\ $$$$\:{then}\:\int_{\mathrm{1}} ^{\:\mathrm{2}} \left(\mathrm{1}−{x}^{−\mathrm{2}} \right){f}\left({x}\right){dx}= \\ $$ Answered by liberty last updated on…
Question Number 128216 by SOMEDAVONG last updated on 05/Jan/21 $$\mathrm{Give}\:\mathrm{G}\:\mathrm{is}\:\mathrm{group}\:\mathrm{and}\:\mathrm{N},\mathrm{Q}\leqslant\mathrm{G}.\mathrm{Show}\:\mathrm{that}\: \\ $$$$\mathrm{for}\:\mathrm{x},\mathrm{y}\in\mathrm{G}\:\mathrm{which}\:\mathrm{xN}=\mathrm{yQ}\Rightarrow\mathrm{N}=\mathrm{Q}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62679 by ajfour last updated on 24/Jun/19 $${Let}\:{f}\:{be}\:{defined}\:{in}\:{the}\:{neighborhood} \\ $$$${of}\:{x}\:{and}\:{that}\:{f}\:''\left({x}\right)\:{exists}. \\ $$$${Prove}\:{that}\:\: \\ $$$$\:\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{f}\left({x}+{h}\right)+{f}\left({x}−{h}\right)−\mathrm{2}{f}\left({x}\right)}{{h}^{\mathrm{2}} }={f}\:''\left({x}\right)\:. \\ $$ Commented by kaivan.ahmadi last updated…
Question Number 62676 by bshahid010@gmail.com last updated on 24/Jun/19 Commented by kaivan.ahmadi last updated on 24/Jun/19 $${if}\:{tanx}={n}>\mathrm{0}\Rightarrow \\ $$$${n}^{\mathrm{2}} +{an}+{n}+{a}−\mathrm{3}<\mathrm{0}\Rightarrow{a}\left({n}+\mathrm{1}\right)<\mathrm{3}−{n}^{\mathrm{2}} −{n}\Rightarrow \\ $$$${a}<\frac{\mathrm{3}−{n}−{n}^{\mathrm{2}} }{{n}+\mathrm{1}} \\…
Question Number 62672 by bshahid010@gmail.com last updated on 24/Jun/19 Commented by Rasheed.Sindhi last updated on 24/Jun/19 $$\mathrm{b}\in\mathrm{I},\:\mathrm{I}\:{means}\:{irrational}? \\ $$ Commented by mr W last updated…
Question Number 128204 by I want to learn more last updated on 05/Jan/21 $$\mathrm{Let}\:\:\:\mathrm{x},\:\:\mathrm{y},\:\:\mathrm{z}\:\:\:\mathrm{be}\:\mathrm{pairwise}\:\mathrm{distinct}\:\mathrm{real}\:\mathrm{numbers},\:\mathrm{if} \\ $$$$\:\:\left(\mathrm{x}\:\:+\:\:\mathrm{y}\:\:−\:\:\mathrm{7}\right)\left[\mathrm{z}\left(\mathrm{x}\:\:+\:\:\mathrm{y}\right)\:\:+\:\:\mathrm{24}\right]\:\:\:=\:\:\left(\mathrm{y}\:\:+\:\:\mathrm{z}\:\:−\:\:\mathrm{7}\right)\left[\mathrm{x}\left(\mathrm{y}\:\:+\:\:\mathrm{z}\right)\:\:+\:\:\mathrm{24}\right]\:\:\:=\:\:\:\left(\mathrm{z}\:\:+\:\:\mathrm{x}\:\:−\:\:\mathrm{7}\right)\left[\mathrm{y}\left(\mathrm{z}\:\:+\:\:\mathrm{x}\right)\:\:+\:\:\mathrm{24}\right] \\ $$$$\mathrm{Find}\:\:\:\:\:\mathrm{x}^{\mathrm{2}} \:\:+\:\:\mathrm{y}^{\mathrm{2}} \:\:+\:\:\mathrm{z}^{\mathrm{2}} \\ $$ Terms of Service…
Question Number 62669 by Sayantan chakraborty last updated on 24/Jun/19 $${calculate}\:{the}\:{value}\:{of}\:\underset{{n}=\mathrm{0}} {\overset{\mathrm{1947}} {\sum}}\frac{\mathrm{1}}{\mathrm{2}^{{n}} +\sqrt{\mathrm{2}^{\mathrm{1947}} }} \\ $$ Answered by tanmay last updated on 24/Jun/19 $${a}=\sqrt{\mathrm{2}^{\mathrm{1947}}…
Question Number 128205 by john_santu last updated on 05/Jan/21 $$\mathrm{solve}\:\frac{{dy}}{{dx}}\:+\:\frac{{dx}}{{dy}}\:=\:\mathrm{4}{x}^{\mathrm{2}} +\mathrm{3} \\ $$ Answered by mr W last updated on 05/Jan/21 $$\left({y}'\right)^{\mathrm{2}} −\left(\mathrm{4}{x}^{\mathrm{2}} +\mathrm{3}\right){y}'+\mathrm{1}=\mathrm{0} \\…
Question Number 62666 by azizullah last updated on 24/Jun/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62664 by Cheyboy last updated on 24/Jun/19 $${Find}\:{the}\:{nth}\:{term} \\ $$$$\mathrm{100},\mathrm{92},\mathrm{76},\mathrm{44},…… \\ $$ Answered by MJS last updated on 24/Jun/19 $${a}_{{n}} =\mathrm{108}−\mathrm{4}×\mathrm{2}^{{n}} \\ $$$${a}_{{n}}…