Question Number 138330 by JulioCesar last updated on 12/Apr/21 Answered by Dwaipayan Shikari last updated on 12/Apr/21 $${tanh}^{−\mathrm{1}} {a}=\frac{\mathrm{1}}{\mathrm{2}}{log}\left(\frac{\mathrm{1}+{a}}{\mathrm{1}−{a}}\right) \\ $$$${tanh}^{−\mathrm{1}} {a}+{tanh}^{−\mathrm{1}} {b}=\frac{\mathrm{1}}{\mathrm{2}}{log}\left(\frac{\left(\mathrm{1}+{a}\right)\left(\mathrm{1}+{b}\right)}{\left(\mathrm{1}−{a}\right)\left(\mathrm{1}−{b}\right)}\right) \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}{log}\left(\frac{\mathrm{1}+{ab}+{a}+{b}}{\mathrm{1}+{ab}−{a}−{b}}\right)…
Question Number 72789 by Learner-123 last updated on 02/Nov/19 $${Find}\:{the}\:{area}\:{of}\:{the}\:{surface}\:{generated} \\ $$$${by}\:{revolving}\:{the}\:{curve}\:{x}=\frac{{y}^{\mathrm{4}} }{\mathrm{4}}+\frac{\mathrm{1}}{\mathrm{8}{y}^{\mathrm{2}} }\: \\ $$$${about}\:{the}\:{x}−{axis}\:.\:\left({given}:\mathrm{1}\leqslant{y}\leqslant\mathrm{2}\right) \\ $$ Commented by MJS last updated on 02/Nov/19…
Question Number 7251 by Tawakalitu. last updated on 19/Aug/16 $${Find}\:{the}\:{value}\:{of}\:{x}\: \\ $$$$ \\ $$$$\left(\sqrt{\mathrm{2}\:+\:\sqrt{\mathrm{3}}}\right)^{{x}} \:\:+\:\:\left(\sqrt{\mathrm{2}\:−\:\sqrt{\mathrm{3}}}\right)^{{x}} \:\:=\:\:\mathrm{4} \\ $$ Commented by sou1618 last updated on 19/Aug/16…
Question Number 138320 by aliibrahim1 last updated on 12/Apr/21 Answered by Rasheed.Sindhi last updated on 17/Apr/21 $$\mathrm{11}^{{n}} =\left(\mathrm{1}+\mathrm{10}\right)^{{n}} =\begin{pmatrix}{{n}}\\{\mathrm{0}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{0}} +\begin{pmatrix}{{n}}\\{\mathrm{1}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{1}} \\ $$$$\:\:\:\:\:\:\:+\begin{pmatrix}{{n}}\\{\mathrm{2}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{2}} +\underset{{divisible}\:{by}\:\mathrm{1000}} {\underbrace{\begin{pmatrix}{{n}}\\{\mathrm{3}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{3}} ….+\begin{pmatrix}{{n}}\\{{n}}\end{pmatrix}\left(\mathrm{10}\right)^{{n}}…
Question Number 72787 by Maclaurin Stickker last updated on 02/Nov/19 $${If}\:{z}_{\mathrm{1}} =\mathrm{6}\left(\mathrm{cos}\:\frac{\pi}{\mathrm{4}}+\mathrm{sin}\:\frac{\pi}{\mathrm{4}}\right)\:{and} \\ $$$${z}_{\mathrm{2}} =\mathrm{2}\left(\mathrm{cos}\:\frac{\pi}{\mathrm{5}}+\mathrm{i}×\mathrm{sin}\:\frac{\pi}{\mathrm{5}}\right)\:{calculate}\:\frac{{z}_{\mathrm{1}} }{{z}_{\mathrm{2}} }. \\ $$ Commented by MJS last updated on…
Question Number 72784 by Maclaurin Stickker last updated on 02/Nov/19 $${Determine}\:{the}\:{independent}\:{term}\:{of} \\ $$$${x}: \\ $$$$\left(\mathrm{3}{x}−\frac{\mathrm{2}}{{x}}\right)^{\mathrm{4}} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 7249 by Rasheed Soomro last updated on 19/Aug/16 $${w},{x},{y},{z}\:{are}\:{digits}\:{in}\:{respective}\:{base}\:{system}\:{and} \\ $$$${a},{b}\:{are}\:{bases}. \\ $$$${Find}\:{out}\:{an}\:{example}/{examples}\:{which}\:{satisfy} \\ $$$${the}\:{following} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{wxyz}_{{a}} +{wxyz}_{{b}} ={wxyz}_{{a}+{b}} \: \\ $$ Commented…
Question Number 138317 by abenarhodym last updated on 12/Apr/21 Commented by abenarhodym last updated on 12/Apr/21 $$ \\ $$$$ \\ $$ Answered by mr W…
Question Number 72782 by Mr. K last updated on 02/Nov/19 Commented by Mr. K last updated on 02/Nov/19 $${Find}\:{a},\:{b}\:{and}\:{c} \\ $$ Answered by MJS last…
Question Number 138316 by Ñï= last updated on 12/Apr/21 $${f}\left({x}\right)=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{x}}}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{a}}}+\sqrt{\frac{{ax}}{{ax}+\mathrm{8}}}\:\:\:\:\:\:\:\:,{x}\in\left(\mathrm{0},\infty\right) \\ $$$$\forall\:{a}\in\left(\mathrm{0},\infty\right),{show}\:\mathrm{1}<{f}\left({x}\right)<\mathrm{2}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com