Question Number 191243 by sonukgindia last updated on 21/Apr/23 Commented by mr W last updated on 21/Apr/23 $${at}\:{x}=\mathrm{1}\:? \\ $$ Answered by PandaMa last updated…
Question Number 191232 by BaliramKumar last updated on 21/Apr/23 $$\mathrm{If}\:{x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:=\:\mathrm{2023}^{\mathrm{2023}} \:\mathrm{then}\:\mathrm{how}\:\mathrm{many}\: \\ $$$$\mathrm{pair}\:\mathrm{of}\:{x},{y}\:{where}\:{x},\:{y}\:\in\:\mathrm{N} \\ $$ Answered by mr W last updated on 21/Apr/23…
Question Number 125697 by aurpeyz last updated on 13/Dec/20 $${what}\:{is}\:{the}\:{largest}\:{coefficient}\:{of}\: \\ $$$$\left(\mathrm{4}+\mathrm{3}{x}\right)^{−\mathrm{5}} ? \\ $$ Answered by mr W last updated on 13/Dec/20 $$\left(\mathrm{4}+\mathrm{3}{x}\right)^{−\mathrm{5}} \\…
Question Number 191229 by mr W last updated on 22/Apr/23 $${evaluate} \\ $$$${P}_{{n}} =\left({a}+\mathrm{sin}\:\theta\right)\left({a}+\mathrm{sin}\:\frac{\theta}{\mathrm{2}}\right)\left({a}+\mathrm{sin}\:\frac{\theta}{\mathrm{2}^{\mathrm{2}} }\right)…\left({a}+\mathrm{sin}\:\frac{\theta}{\mathrm{2}^{{n}} }\right) \\ $$$${with}\:\mid{a}\mid\leqslant\mathrm{1} \\ $$ Terms of Service Privacy Policy…
Question Number 191231 by Fridunatjan08 last updated on 21/Apr/23 $${Logic}\:{puzzle} \\ $$$${if}\:\:\mathrm{3621}+\mathrm{22}=\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\mathrm{7842}+\mathrm{10}=\mathrm{17} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{8223}+\mathrm{13}=\mathrm{29} \\ $$$$\:\:\:\:\:\:\:\mathrm{1930}+\mathrm{7}\:=\:\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\mathrm{6624}+\mathrm{11}=? \\ $$ Commented by Fridunatjan08…
Question Number 125692 by fajri last updated on 13/Dec/20 $${find}\:{soultion}\:: \\ $$$$ \\ $$$${x}'\:=\:\begin{pmatrix}{−\mathrm{2}\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\:\:\:−\mathrm{2}}\end{pmatrix}\:{x}\:+\:\begin{pmatrix}{\mathrm{2}{e}^{−{n}} }\\{\mathrm{3}{n}}\end{pmatrix} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 125693 by fajri last updated on 13/Dec/20 $${find}\:: \\ $$$$ \\ $$$$\frac{{d}^{\mathrm{4}} {y}}{{dx}^{\mathrm{4}} }\:+\:\frac{{d}^{\mathrm{3}} {y}}{{dx}^{\mathrm{3}} }\:−\:\mathrm{7}\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:−\:\frac{{dy}}{{dx}\:\:}\:+\:\mathrm{6}{y}\:=\:\mathrm{0} \\ $$$$ \\ $$$${for}\:{y}\left(\mathrm{0}\right)\:=\:\mathrm{1},\:{y}'\left(\mathrm{0}\right)\:=\:\mathrm{0},\:{y}''\left(\mathrm{0}\right)\:=\:−\mathrm{2}\:,\:{y}'''\left(\mathrm{0}\right)\:=\:−\mathrm{1} \\…
Question Number 60156 by Tawa1 last updated on 18/May/19 $$\mathrm{Prove}\:\mathrm{by}\:\mathrm{principle}\:\mathrm{of}\:\mathrm{mathematical}\:\mathrm{induction} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{sin}\left(\mathrm{x}\right)\:+\:\mathrm{sin}\left(\mathrm{2x}\right)\:+\:\mathrm{sin}\left(\mathrm{3x}\right)\:+\:…\:+\:\mathrm{sin}\left(\mathrm{nx}\right)\:\:=\:\:\frac{\mathrm{cos}\left(\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}\right)\:−\:\mathrm{cos}\left(\mathrm{n}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{x}}{\mathrm{2}\:\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}\right)} \\ $$ Commented by Smail last updated on 19/May/19 $${sinx}+{sin}\mathrm{2}{x}+…+{sin}\left({nx}\right)=\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{sin}\left({kx}\right) \\…
Question Number 60155 by Tawa1 last updated on 18/May/19 $$\mathrm{Show}\:\mathrm{that}: \\ $$$$\:\:\:\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}}\:+\:\mathrm{cos}\left(\mathrm{x}\right)\:+\:\mathrm{cos}\left(\mathrm{2x}\right)\:+\:…\:+\:\mathrm{cos}\left(\mathrm{nx}\right)\:\:=\:\:\frac{\mathrm{sin}\left(\mathrm{n}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{x}}{\mathrm{2}\:\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{x}} \\ $$$$\mathrm{By}\:\mathrm{principle}\:\mathrm{of}\:\mathrm{mathematical}\:\mathrm{induction} \\ $$ Answered by Kunal12588 last updated on 18/May/19 $$\:{P}\left({n}\right):\frac{\mathrm{1}}{\mathrm{2}}\:+\:\mathrm{cos}\left(\mathrm{x}\right)\:+\:\mathrm{cos}\left(\mathrm{2x}\right)\:+\:…\:+\:\mathrm{cos}\left(\mathrm{nx}\right)\:\:=\:\:\frac{\mathrm{sin}\left(\mathrm{n}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{x}}{\mathrm{2}\:\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\mathrm{x}} \\…
Question Number 125691 by fajri last updated on 13/Dec/20 $${find}\:{solution}\:: \\ $$$$\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}\:} }\:+\:\mathrm{4}\frac{{dy}}{{dx}}\:=\:\mathrm{3}\:{cosec}\:\theta \\ $$ Answered by mathmax by abdo last updated on 14/Dec/20…