Question Number 10947 by rish@bh last updated on 03/Mar/17 $$\mathrm{In}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{ABC}\:\mathrm{prove}\:\mathrm{the}\:\mathrm{following} \\ $$$$\frac{\left({a}+{b}+{c}\right)^{\mathrm{2}} }{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }\:=\:\frac{\mathrm{cot}\:\frac{{A}}{\mathrm{2}}+\mathrm{cot}\:\frac{{B}}{\mathrm{2}}+\mathrm{cot}\:\frac{{C}}{\mathrm{2}}}{\mathrm{cot}\:{A}+\mathrm{cot}\:{B}+\mathrm{cot}\:{C}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 10944 by 314159 last updated on 03/Mar/17 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{ordered}\:\mathrm{pairs}\:\left(\mathrm{a},\mathrm{b}\right)\:\mathrm{so}\:\mathrm{that}\:\frac{\mathrm{ab}}{\mathrm{a}+\mathrm{b}}\:\mathrm{is}\:\mathrm{an}\:\mathrm{integer}. \\ $$$$\left(\mathrm{a}\:\mathrm{and}\:\mathrm{b}\:\mathrm{are}\:\mathrm{integers}\right). \\ $$ Commented by FilupS last updated on 03/Mar/17 $${n}=\frac{{ab}}{{a}+{b}},\:\:\:\:\:{n},\:{a},\:{b}\:\in\:\mathbb{Z} \\ $$$$\: \\…
Question Number 76477 by mathocean1 last updated on 27/Dec/19 $$\mathrm{Hello}\:\mathrm{Solve}\:\mathrm{in}\: \\ $$$$\left.\right]−\pi;\pi\left[\right. \\ $$$$\frac{\mathrm{2sin}{x}}{{cosx}−{sinx}}\geqslant\mathrm{0} \\ $$$$\mathrm{result}\:\mathrm{should}\:\mathrm{be}\:\mathrm{in}\:\mathrm{radian} \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:… \\ $$ Answered by Kunal12588 last updated…
Question Number 76475 by aliesam last updated on 27/Dec/19 Answered by mr W last updated on 27/Dec/19 $${y}=\mathrm{85}−\mathrm{85}\left(\frac{{x}−\mathrm{70}}{\mathrm{70}}\right)^{\mathrm{2}} \\ $$$$ \\ $$$${at}\:{x}=\mathrm{95}: \\ $$$${y}=\mathrm{85}−\mathrm{85}\left(\frac{\mathrm{95}−\mathrm{70}}{\mathrm{70}}\right)^{\mathrm{2}} =\mathrm{74}.\mathrm{16}\:{ft}…
Question Number 142010 by jlewis last updated on 25/May/21 $$\mathrm{find}\:\mathrm{x}\:\mathrm{2cosh}\:\mathrm{2x}\:+\mathrm{10sinh}\:\mathrm{2x}=\mathrm{5} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76468 by kaivan.ahmadi last updated on 27/Dec/19 $$\int\frac{\mathrm{1}−{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{1}}{{x}^{\mathrm{4}} −{x}^{\mathrm{3}} −{x}+\mathrm{1}}{dx} \\ $$ Commented by mr W last updated on 27/Dec/19 $${why}\:{did}\:{you}\:{write}\:\mathrm{1}−{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{1}…
Question Number 10933 by Joel576 last updated on 02/Mar/17 $$\mathrm{If}\:\:{p}\:\:\mathrm{and}\:\:{q}\:\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{for}\:\mathrm{the} \\ $$$${x}^{\mathrm{2}} \:−\:\left({a}\:+\:\mathrm{1}\right){x}\:+\:\left(−{a}\:−\:\frac{\mathrm{5}}{\mathrm{2}}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{The}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\:{p}^{\mathrm{2}\:} +\:{q}^{\mathrm{2}} \:\:\mathrm{is}\:… \\ $$ Answered by ridwan balatif last updated…
Question Number 76469 by kaivan.ahmadi last updated on 27/Dec/19 $$\int{cothx}\:{dx} \\ $$ Commented by mathmax by abdo last updated on 27/Dec/19 $$\int\:{coth}\left({x}\right){dx}\:=\int\:\frac{{ch}\left({x}\right)}{{sh}\left({x}\right)}{dx}\:=\int\:\:\frac{{e}^{{x}} \:+{e}^{−{x}} }{{e}^{{x}} −{e}^{−{x}}…
Question Number 76467 by kaivan.ahmadi last updated on 27/Dec/19 $$\int\frac{{dx}}{\:\sqrt{{e}^{\mathrm{2}{x}} −\mathrm{4}}\left({sec}^{−\mathrm{1}} \left(\frac{{e}^{{x}} }{\mathrm{4}}\right)\right)} \\ $$ Answered by john santu last updated on 28/Dec/19 $${let}\::\mathrm{sec}\:{u}\:=\:\frac{{e}^{{x}} }{\mathrm{4}}\:\rightarrow\:{e}^{{x}}…
Question Number 76465 by kaivan.ahmadi last updated on 27/Dec/19 $$\int{e}^{−{x}} \left(−{e}^{−\mathrm{3}{x}} +\mathrm{5}{e}^{−\mathrm{2}{x}} −\mathrm{6}\right){sin}\left(\mathrm{2}{e}^{−{x}} \right){dx} \\ $$ Answered by john santu last updated on 28/Dec/19 $$\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{3}{e}^{−\mathrm{3}{x}}…