Question Number 80869 by MASANJAJ last updated on 07/Feb/20 $${find}\:{the}\:{coordinate}\:{of}\:{the}\:{line}\:{prese} \\ $$$${nted}\:{with}\:{line}\:\mathrm{2}{x}−\mathrm{3}{y}+\mathrm{7}=\mathrm{0}.{which}\:{is} \\ $$$${equadistance}\:{from}\:{points}\:\left(−\mathrm{4},\mathrm{8}\right)\:{and}\: \\ $$$$\left(\mathrm{7},\mathrm{1}\right) \\ $$ Commented by ajfour last updated on 07/Feb/20…
Question Number 80639 by jagoll last updated on 05/Feb/20 $$\frac{\mathrm{log}_{\mathrm{2}} ^{\mathrm{2}} \:\left({x}−\mathrm{4}\right)−\mathrm{log}_{\mathrm{2}} \left(\mathrm{4}−{x}\right)^{\mathrm{8}} +\mathrm{16}}{\mathrm{30}−\mathrm{3}{x}−\left(\mathrm{4}−{x}\right)^{\mathrm{2}} }\:\geqslant\:\mathrm{0} \\ $$ Commented by john santu last updated on 05/Feb/20…
Question Number 145780 by Engr_Jidda last updated on 08/Jul/21 $${find}\:{the}\:{volume}\:{of}\:{the}\:{solid}\: \\ $$$${generated}\:{by}\:{the}\:{region}\:{bounded}\:{by} \\ $$$${y}=\sqrt{{x}}\:,\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\:{and}\:{X}−{axis} \\ $$ Answered by ArielVyny last updated on 08/Jul/21 $${V}=\pi\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 14664 by ajfour last updated on 03/Jun/17 $$\:{What}\:{is}\:{the}\:{transformed}\: \\ $$$${equation}\:{of}\:{a}\:{parabola}\:{given}\:{by} \\ $$$$\:\:\boldsymbol{{y}}=\mathrm{2}\boldsymbol{{x}}^{\mathrm{2}} +\frac{\mathrm{8}}{\mathrm{5}}\boldsymbol{{x}}−\frac{\mathrm{109}}{\mathrm{50}}\:,\:{if}\:{the} \\ $$$${coordinate}\:{axes}\:{is}\:{rotated}\: \\ $$$$\:{anticlockwise}\:{by}\:\:\boldsymbol{\alpha}=\mathrm{tan}^{−\mathrm{1}} \frac{\mathrm{3}}{\mathrm{4}}\:. \\ $$ Answered by mrW1…
Question Number 14306 by ajfour last updated on 30/May/17 Commented by prakash jain last updated on 30/May/17 $$\mathrm{Are}\:{a},{b}\:\mathrm{and}\:{c}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{triangle}? \\ $$ Commented by ajfour last updated…
Question Number 145316 by imjagoll last updated on 04/Jul/21 Commented by imjagoll last updated on 04/Jul/21 $$\mathrm{interesting}\:\mathrm{problem} \\ $$$$\neq\mathrm{geometry} \\ $$ Commented by imjagoll last…
Question Number 79697 by ajfour last updated on 27/Jan/20 Commented by ajfour last updated on 27/Jan/20 $${Find}\:{coordinates}\:{of}\:{A},{B},{C}\:{if} \\ $$$${each}\:{coloured}\:{regions}\:{I}\rightarrow{IV} \\ $$$${have}\:{the}\:{same}\:{area}. \\ $$ Answered by…
Question Number 144900 by ArielVyny last updated on 30/Jun/21 $${etude}\:{complete}\:{de}\:{la}\:{courbe}\:{d}'{equation} \\ $$$${polaire}\:{r}=\frac{\mathrm{1}}{{sin}\left(\mathrm{2}\theta\right)}\:\:\:\:\left({symetrie}\:{et}\:{trace}\right) \\ $$$$ \\ $$ Answered by qaz last updated on 30/Jun/21 $$\mathrm{2rsin}\:\theta\mathrm{cos}\:\theta=\mathrm{1} \\…
Question Number 144269 by alcohol last updated on 24/Jun/21 $$\int_{\mathrm{0}} ^{\:\infty} \lfloor\frac{{y}^{\mathrm{3}} }{{e}^{{y}} −\mathrm{1}}\rfloor{dy} \\ $$ Answered by mathmax by abdo last updated on 24/Jun/21…
Question Number 144226 by bramlexs22 last updated on 23/Jun/21 Commented by bramlexs22 last updated on 23/Jun/21 $$\mathrm{Find}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{yellow}\:\mathrm{circle} \\ $$ Answered by bemath last updated on…