Question Number 78108 by mr W last updated on 14/Jan/20 Commented by mr W last updated on 14/Jan/20 $${find}\:{the}\:{relation}\:{between}\:{a}\:{and}\:{c}. \\ $$$$ \\ $$$$\left({i}\:{reposted}\:{the}\:{question}\:{here}\:{to}\:{avoid}\right. \\ $$$${that}\:{the}\:{solution}\:{will}\:{be}\:{deleted}\:{by}…
Question Number 12572 by tawa last updated on 25/Apr/17 $$\mathrm{prove}\:\mathrm{that}\:\mathrm{if}, \\ $$$$\mathrm{sin}\left(\theta\right)\:=\:\frac{\mathrm{1}\:−\:\mathrm{x}}{\mathrm{1}\:+\:\mathrm{x}}\:\:\:\:\:\mathrm{then}\:\:\mathrm{tan}\left(\frac{\mathrm{x}}{\mathrm{4}}\:−\:\frac{\theta}{\mathrm{2}}\right)\:=\:\sqrt{\mathrm{x}} \\ $$ Commented by mrW1 last updated on 26/Apr/17 $${I}\:{think}\:{you}\:{mean}\:\mathrm{t}{a}\mathrm{n}\left(\frac{\pi}{\mathrm{4}}\:−\:\frac{\theta}{\mathrm{2}}\right)\:=\:\sqrt{\mathrm{x}} \\ $$ Answered…
Question Number 143641 by mathlove last updated on 16/Jun/21 $$\mathrm{sin}\:\mathrm{160}−\mathrm{sin}\:\mathrm{20}=? \\ $$ Answered by Rasheed.Sindhi last updated on 16/Jun/21 $$\mathrm{sin}\:\mathrm{160}−\mathrm{sin}\:\mathrm{20} \\ $$$$=\mathrm{sin}\left(\mathrm{180}−\mathrm{20}\right)−\mathrm{sin}\:\mathrm{20} \\ $$$$=\mathrm{sin180cos20}−\mathrm{cos180sin20}−\mathrm{sin20} \\…
Question Number 78106 by aliesam last updated on 14/Jan/20 Commented by msup trace by abdo last updated on 14/Jan/20 $${let}\:{f}\left({x}\right)={x}^{\mathrm{1}−\xi} \:\int_{{x}} ^{{x}+\mathrm{1}} {sin}\left({t}^{\mathrm{2}} \right){dt} \\…
Question Number 12569 by JAZAR last updated on 25/Apr/17 $${tank}\:{you} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 78105 by aliesam last updated on 14/Jan/20 Answered by Kunal12588 last updated on 14/Jan/20 $$\frac{{dy}}{{dx}}+\left({tan}\:{x}\right){y}={sin}\:\mathrm{2}{x} \\ $$$${This}\:{is}\:{a}\:{linear}\:{differential}\:{equation} \\ $$$${differential}\:{equation}\:{of}\:{the}\:{type} \\ $$$$\frac{{dy}}{{dx}}+{Px}={Q}\:\:;\:{P}\:\&\:{Q}\:{are}\:{function}\:{of}\:{x}\:{only} \\ $$$${P}\:=\:{tan}\:{x},\:{Q}\:=\:{sin}\:\mathrm{2}{x}…
Question Number 78102 by Pratah last updated on 14/Jan/20 Commented by MJS last updated on 14/Jan/20 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{system}\:\mathrm{for}\:{a},\:{b},\:{c},\:{d}\:\mathrm{with}\:\mathrm{any}\:\mathrm{of} \\ $$$$\mathrm{these}\:\mathrm{as}\:\mathrm{parameter},\:\mathrm{then}\:\mathrm{calculate}\:\mathrm{the} \\ $$$$\mathrm{needed}\:\mathrm{values}\:\Rightarrow\:\mathrm{done}! \\ $$ Answered by…
Question Number 12566 by JAZAR last updated on 25/Apr/17 $${we}\:{give}\:{U}_{\mathrm{1}} ,{U}_{\mathrm{2}} ,{U}_{\mathrm{3}} \:{the}\:{terms}\:{of}\:{a}\:{geometric}\:{sequence} \\ $$$$.{Determine}\:{U}_{\mathrm{1}} ,{U}_{\mathrm{2}} ,{U}_{\mathrm{3}} \:{such}\:{that}\:: \\ $$$$ \\ $$$$\begin{cases}{{U}_{\mathrm{1}} .{U}_{\mathrm{2}} .{U}_{\mathrm{3}} =\mathrm{64}}\\{{U}_{\mathrm{1}}…
Question Number 143638 by mnjuly1970 last updated on 16/Jun/21 $$\:\:\:\:\:\:\:\:\:\:……{Calculus}…. \\ $$$$\boldsymbol{\phi}:\overset{?} {=}\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}\left(\mathrm{1}−{x}\right){ln}\left({x}\right)\left({ln}\left(\frac{\mathrm{1}−{x}}{{x}}\right)\right)}{{x}}\:{dx} \\ $$$$\:\:{m}.{n}…. \\ $$$$ \\ $$ Commented by TheHoneyCat last…
Question Number 143633 by Niiicooooo last updated on 16/Jun/21 Answered by mathmax by abdo last updated on 16/Jun/21 $$\Gamma\left(\mathrm{n}\right)\sim\mathrm{n}^{\mathrm{n}} \:\mathrm{e}^{−\mathrm{n}} \sqrt{\mathrm{2}\pi\mathrm{n}}\:\mathrm{and}\:\Gamma\left(\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}\right)\sim\left(\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}} \:\mathrm{e}^{−\left(\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}\right)} \sqrt{\mathrm{2}\pi\left(\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}\right)\:\Rightarrow} \\ $$$$\frac{\Gamma\left(\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}\right)}{\Gamma\left(\mathrm{n}\right)}.\sqrt{\mathrm{n}}\sim\frac{\left(\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{n}−\frac{\mathrm{1}}{\mathrm{2}}}…