Question Number 138134 by mathmax by abdo last updated on 10/Apr/21 $$\mathrm{calculate}\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{3}} \left(\mathrm{2n}+\mathrm{1}\right)^{\mathrm{4}} } \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 138129 by mathmax by abdo last updated on 10/Apr/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{ln}\left(\mathrm{2}+\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{3}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138128 by mathmax by abdo last updated on 10/Apr/21 $$\mathrm{calculate}\:\int\:\:\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{2}−\mathrm{x}^{\mathrm{2}} }+\sqrt{\mathrm{3}+\mathrm{x}^{\mathrm{2}} }} \\ $$ Answered by MJS_new last updated on 10/Apr/21 $$\int\frac{{dx}}{\:\sqrt{\mathrm{2}−{x}^{\mathrm{2}} }+\sqrt{\mathrm{3}+{x}^{\mathrm{2}}…
Question Number 72595 by zillnehu@gmail.com last updated on 30/Oct/19 $$\left(\alpha+\beta\right)^{\mathrm{2}} \:=\:\alpha^{\mathrm{2}} \:+\:\mathrm{2}\alpha\beta\:+\:\beta^{\mathrm{2}\:} \\ $$ Commented by ajfour last updated on 30/Oct/19 $${according}\:{to}\:{new}\:{research}.. \\ $$ Commented…
Question Number 138131 by mathmax by abdo last updated on 10/Apr/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{\mathrm{dx}}{\left(\mathrm{2x}+\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{3}\right)^{\mathrm{2}} } \\ $$ Answered by MJS_new last updated on 10/Apr/21…
Question Number 72593 by TawaTawa last updated on 30/Oct/19 $$\mathrm{If}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{a}\:\mathrm{square}\:\mathrm{is}\:\mathrm{increased}\:\mathrm{by}\:\:\mathrm{25\%}\:\mathrm{while}\:\mathrm{its} \\ $$$$\mathrm{width}\:\mathrm{is}\:\mathrm{decrease}\:\mathrm{by}\:\:\:\mathrm{15\%}\:\:\:\mathrm{to}\:\mathrm{form}\:\mathrm{a}\:\mathrm{rectangle}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{rectangle}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square} \\ $$ Answered by Tanmay chaudhury last updated on…
Question Number 7055 by Tawakalitu. last updated on 08/Aug/16 $${Show}\:{that}\:\forall\:{x}\:\in\:\left[\:\mathrm{0},\:\frac{\Pi}{\mathrm{2}}\:\right]\:,\:{tanx}\:+\:{sin}\mathrm{4}{x}\:\geqslant\:\mathrm{0}\: \\ $$$$ \\ $$ Commented by Yozzii last updated on 08/Aug/16 $${If}\:\mathrm{0}\leqslant{x}\leqslant\frac{\pi}{\mathrm{2}}\Rightarrow\mathrm{0}\leqslant\mathrm{4}{x}\leqslant\mathrm{2}\pi \\ $$$${For}\:−\mathrm{1}\leqslant{sin}\mathrm{4}{x}<\mathrm{0}\Rightarrow\pi<\mathrm{4}{x}\leqslant\frac{\mathrm{3}\pi}{\mathrm{2}}\:{or}\:\frac{\mathrm{3}\pi}{\mathrm{2}}\leqslant\mathrm{4}{x}<\mathrm{2}\pi\: \\…
Question Number 7054 by Tawakalitu. last updated on 08/Aug/16 $${Solve}\:{for}\:{x}\:{in}\:{the}\:{equation}\:{below} \\ $$$${x}^{\mathrm{4}} \:+\:\mathrm{2}{x}^{\mathrm{3}} \:−\:{x}^{\mathrm{2}} \:+\:\mathrm{2}{x}\:+\:\mathrm{1}\:=\:\mathrm{0} \\ $$$$ \\ $$ Commented by prakash jain last updated…
Question Number 72589 by TawaTawa last updated on 30/Oct/19 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}:\:\:\:\:\left(\sqrt{\boldsymbol{\mathrm{x}}}\right)^{\boldsymbol{\mathrm{x}}} \:\:=\:\:\mathrm{27}\boldsymbol{\mathrm{x}}^{\sqrt{\boldsymbol{\mathrm{x}}}} \\ $$ Commented by MJS last updated on 30/Oct/19 $$\mathrm{trying}\:\mathrm{we}\:\mathrm{find}\:{x}=\mathrm{9} \\ $$ Commented by…
Question Number 138120 by Ari last updated on 10/Apr/21 Commented by Ari last updated on 10/Apr/21 $$\mathrm{If}\:\mathrm{anyone}\:\mathrm{could}\:\mathrm{help}? \\ $$ Answered by nimnim last updated on…