Question Number 43875 by peter frank last updated on 16/Sep/18 $${if}\:\:\:\mathrm{tan}\:\left({x}+{y}\right)=\frac{\mathrm{3}}{\mathrm{4}}\:\:{and}\:\mathrm{tan}\left({x}−{y}\right)=\frac{\mathrm{8}}{\mathrm{15}}\: \\ $$$${show}\:{that}\:\:\mathrm{tan}\:\mathrm{2}{x}=\:\frac{\mathrm{77}}{\mathrm{36}} \\ $$ Answered by ajfour last updated on 16/Sep/18 $$\mathrm{tan}\:\left({x}+{y}+{x}−{y}\right)=\frac{\frac{\mathrm{3}}{\mathrm{4}}+\frac{\mathrm{8}}{\mathrm{15}}}{\mathrm{1}−\frac{\mathrm{2}}{\mathrm{5}}} \\ $$$$\Rightarrow\:\:\:\:\:\mathrm{tan}\:\mathrm{2}{x}\:=\:\frac{\mathrm{77}}{\mathrm{36}}\:.…
Question Number 43783 by ajfour last updated on 15/Sep/18 Commented by ajfour last updated on 16/Sep/18 $${can}\:{an}\:{app}\:{plot}\:{it}\:{if}\:{it}\:{be}\:{unique}? \\ $$ Commented by ajfour last updated on…
Question Number 174816 by aupo14 last updated on 11/Aug/22 Commented by a.lgnaoui last updated on 13/Aug/22 $${the}\:{folowing}\:{anser}\:\mathrm{2}/\mathrm{2}\:{wil}\:{be}\:{sent}\:{is}\:{in}\:{the}\:{next}\:{anser}\: \\ $$ Answered by MikeH last updated on…
Question Number 43404 by peter frank last updated on 10/Sep/18 Answered by alex041103 last updated on 10/Sep/18 $$\frac{{d}}{{dx}}\left(\frac{{x}^{\mathrm{2}} }{\mathrm{16}}−\frac{{y}^{\mathrm{2}} }{\mathrm{4}}=\mathrm{1}\right) \\ $$$$\frac{{x}}{\mathrm{8}}−\frac{{y}}{\mathrm{2}}\left(\frac{{dy}}{{dx}}\right)=\mathrm{0} \\ $$$$\Rightarrow\frac{{dy}}{{dx}}=\frac{{x}}{\mathrm{4}{y}} \\…
Question Number 43384 by peter frank last updated on 10/Sep/18 Answered by tanmay.chaudhury50@gmail.com last updated on 10/Sep/18 $${cos}\mathrm{30}^{{o}} =\frac{\frac{{a}}{\mathrm{2}}}{{R}} \\ $$$$\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}=\frac{{a}}{\mathrm{2}{R}} \\ $$$${a}={R}\sqrt{\mathrm{3}}\: \\ $$$${a}=\mathrm{5}\sqrt{\mathrm{3}}\:…
Question Number 43331 by ajfour last updated on 09/Sep/18 Commented by ajfour last updated on 09/Sep/18 $${Find}\:{equation}\:{of}\:{red}\:{parabola}, \\ $$$${if}\:{it}\:{be}\:{reflection}\:{of}\:{y}={x}^{\mathrm{2}} \:\:{in} \\ $$$${the}\:{line}\:{y}={mx}+{c}\:. \\ $$ Commented…
Question Number 43265 by Cheyboy last updated on 09/Sep/18 Commented by ajfour last updated on 09/Sep/18 Commented by ajfour last updated on 09/Sep/18 $${inclination}\:{of}\:{ED}\:{with}\:{horizontal} \\…
Question Number 108609 by Rio Michael last updated on 18/Aug/20 $$\mathrm{1}\:+\:\mathrm{2}\:+\:\mathrm{3}\:+\:\mathrm{4}\:+\:\mathrm{5}\:+\:…\:\infty\:=\:??? \\ $$ Commented by ajfour last updated on 18/Aug/20 $${S}_{{n}} =\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}} \\ $$ Answered…
Question Number 43011 by ajfour last updated on 06/Sep/18 Commented by ajfour last updated on 06/Sep/18 $${Determine}\:{as}\:{a}\:{function}\:{of} \\ $$$$\theta,\:{h},{k},\:{a},\:\&\:{b}\:: \\ $$$$\:\frac{{A}_{{blue},{max}} }{{A}_{{ellipse}} }\:=\:\:\frac{{max}\:{blue}\:{area}}{\pi{ab}}\:. \\ $$$$…
Question Number 174069 by alcohol last updated on 24/Jul/22 Commented by alcohol last updated on 24/Jul/22 $${please}\:{help}\:{me}\: \\ $$ Answered by aleks041103 last updated on…