Question Number 211398 by Spillover last updated on 08/Sep/24 Answered by Frix last updated on 08/Sep/24 $$\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{2}}}\:\overset{{t}=\frac{{x}+\mathrm{1}+\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{2}}}{\:\sqrt{\mathrm{2}}}} {=} \\ $$$$=\mathrm{2}\sqrt{\mathrm{2}}\int\frac{{dt}}{\mathrm{2}{t}^{\mathrm{2}} +\mathrm{1}}=\mathrm{2tan}^{−\mathrm{1}} \:\sqrt{\mathrm{2}}{t}\:= \\…
Question Number 211399 by Spillover last updated on 08/Sep/24 $$\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{4}} \right)\sqrt{\mathrm{1}+{x}^{\mathrm{4}} −{x}^{\mathrm{2}} }} \\ $$$$ \\ $$ Commented by Frix last updated on…
Question Number 211392 by CrispyXYZ last updated on 08/Sep/24 $$\bigtriangleup{ABC}.\:\mathrm{cos}\:{C}=\frac{\mathrm{sin}\:{A}\:+\:\mathrm{cos}\:{A}}{\mathrm{2}}=\frac{\mathrm{sin}\:{B}\:+\:\mathrm{cos}\:{B}}{\mathrm{2}}. \\ $$$$\mathrm{Find}\:\mathrm{cos}\:{C}. \\ $$ Answered by Frix last updated on 08/Sep/24 $$\mathrm{Rectangular}\:\mathrm{triangle} \\ $$$$\mathrm{cos}\:{A}\:=\mathrm{sin}\:{B}\:\wedge\:\mathrm{sin}\:{A}\:=\:\mathrm{cos}\:{B}\:\Rightarrow\:{C}=\mathrm{90}° \\…
Question Number 211393 by BaliramKumar last updated on 08/Sep/24 Commented by BaliramKumar last updated on 08/Sep/24 $${a}^{\mathrm{2}} −{b}^{\mathrm{2}} \:=\:\mathrm{25}\:\:\:\:\:\:\:\:\:\:\:{a}+{b}\:=\:\mathrm{5} \\ $$$$\left({a}−{b}\right)\left({a}+{b}\right)\:=\:\mathrm{25} \\ $$$$\left({a}−{b}\right)\mathrm{5}\:=\:\mathrm{25} \\ $$$${a}−{b}\:=\:\mathrm{5}………\left({i}\right)…
Question Number 211373 by RojaTaniya last updated on 07/Sep/24 Answered by BaliramKumar last updated on 07/Sep/24 $$\mathrm{82} \\ $$ Commented by RojaTaniya last updated on…
Question Number 211374 by York12 last updated on 07/Sep/24 $$\mathrm{Evaluate}:\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\frac{\mathrm{sin}\:\left(\mathrm{2}^{{k}+\mathrm{4}} \theta\right)}{\mathrm{sin}\:\left(\mathrm{2}^{\mathrm{k}} \theta\right)}\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 211368 by a.lgnaoui last updated on 07/Sep/24 $$\mathrm{soit}\:\mathrm{le}\:\mathrm{systeme}\:\mathrm{d}\:\mathrm{equatiins} \\ $$$$\:\:\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}+\boldsymbol{\mathrm{z}}\:\:\:\:=\mathrm{7} \\ $$$$\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{y}}^{\mathrm{2}} +\boldsymbol{\mathrm{z}}^{\mathrm{2}} =\mathrm{9} \\ $$$$\:\:\boldsymbol{\mathrm{xyz}}\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{5} \\ $$$$ \\ $$$$\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{z}}}? \\ $$…
Question Number 211370 by liuxinnan last updated on 07/Sep/24 $${F}\left(\mathrm{0}\right)=\mathrm{0}\:\:\:\:\:\:\:{F}\left(\mathrm{1}\right)=\mathrm{1}\:\:\:\:{F}\left({n}+\mathrm{1}\right)={F}\left({n}\right)+{F}\left({n}−\mathrm{1}\right) \\ $$$${prove}: \\ $$$$\frac{\mathrm{1}}{\mathrm{89}}=\underset{{i}=\mathrm{1}} {\overset{+\infty} {\sum}}\mathrm{10}^{−{i}} {F}\left({i}−\mathrm{1}\right) \\ $$ Answered by mr W last updated…
Question Number 211381 by Spillover last updated on 07/Sep/24 Commented by MathematicalUser2357 last updated on 10/Sep/24 $$\mathrm{Is}\:\mathrm{it}\:\int_{\mathrm{0}} ^{\mathrm{ln}\left(\mathrm{1}+\sqrt{\mathrm{2}}\right)} \mathrm{sinh}^{\mathrm{3}} {x}\:\mathrm{cosh}^{\mathrm{11}} {x}\:{dx} \\ $$ Answered by…
Question Number 211383 by zakirullah last updated on 07/Sep/24 Commented by zakirullah last updated on 07/Sep/24 $${please}\:{need}\:{difference}\:{with}\:{solution}. \\ $$ Answered by A5T last updated on…