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Question Number 111216 by mohammad17 last updated on 02/Sep/20 Commented by Dwaipayan Shikari last updated on 02/Sep/20 $${x}^{{y}} ={e}^{{tan}^{−\mathrm{1}} {y}} \\ $$$${ylogx}={tan}^{−\mathrm{1}} {y} \\ $$$$\frac{{dy}}{{dx}}{logx}+\frac{{y}}{{x}}=\frac{\mathrm{1}}{\mathrm{1}+{y}^{\mathrm{2}}…
Question Number 111209 by mathdave last updated on 02/Sep/20 $${find}\:{the}\:{ODEs}\:{of}\: \\ $$$${y}={Ae}^{{x}} +{Bxe}^{{x}} +{Ce}^{−\mathrm{2}{x}} +{De}^{\mathrm{3}{x}} \\ $$ Commented by mohammad17 last updated on 02/Sep/20 $${can}\:{you}\:{solve}…
Question Number 111206 by mohammad17 last updated on 02/Sep/20 $$\int\:\frac{{dx}}{{x}^{\mathrm{3}} +\mathrm{3}{x}−\mathrm{5}} \\ $$ Answered by Sarah85 last updated on 02/Sep/20 $$\mathrm{we}\:\mathrm{had}\:\mathrm{this}\:\mathrm{before} \\ $$$$\mathrm{if}\:\mathrm{we}\:\mathrm{cannot}\:\mathrm{find}\:“\mathrm{nice}''\:\mathrm{factors}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{denominator}\:\mathrm{it}'\mathrm{s}\:\mathrm{getting}\:\mathrm{complicated}…
Question Number 176722 by vishal1234 last updated on 25/Sep/22 $$\frac{\sqrt{\mathrm{11}}+\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{11}}+\mathrm{11}}\:=\:\frac{\left(\sqrt{\mathrm{11}}+\mathrm{1}\right)\left(\mathrm{2}\sqrt{\mathrm{11}}−\mathrm{11}\right)}{\left(\mathrm{2}\sqrt{\mathrm{11}}+\mathrm{11}\right)\left(\mathrm{2}\sqrt{\mathrm{11}}−\mathrm{11}\right)}\:=\: \\ $$$$\frac{\mathrm{2}\sqrt{\mathrm{11}}−\mathrm{11}+\mathrm{2}×\mathrm{11}+\mathrm{11}\sqrt{\mathrm{11}}}{\mathrm{2}×\mathrm{11}−\mathrm{121}}\:=\:\frac{\mathrm{13}\sqrt{\mathrm{11}}+\mathrm{11}}{−\mathrm{99}} \\ $$$$\boldsymbol{{A}}{ns} \\ $$ Commented by Rasheed.Sindhi last updated on 26/Sep/22 $$\mathcal{T}{ypo}: \\…
Question Number 45649 by hassentimol last updated on 15/Oct/18 $$\mathrm{Let}\:\mathrm{consider}\:\mathrm{A}\left(\mathrm{3},\mathrm{5}\right),\:\mathrm{B}\left(\mathrm{6},\mathrm{4}\right)\:\mathrm{and}\:\mathrm{C}\left(\mathrm{3},−\mathrm{2}\right), \\ $$$$\mathrm{d}\::\:{x}−\mathrm{5}{y}+\mathrm{7}=\mathrm{0} \\ $$$$ \\ $$$$\mathrm{Consider}\:\mathrm{a}\:\mathrm{dot}\:\mathrm{D}\:\mathrm{such}\:\mathrm{as}\:\mathrm{ABCD}\:\mathrm{is}\:\mathrm{a}\:\mathrm{trapezium} \\ $$$$\mathrm{and}\:\left(\mathrm{AD}\right)\:\mathrm{and}\:\left(\mathrm{BC}\right)\:\mathrm{are}\:\mathrm{parallel}\:\mathrm{lines}. \\ $$$$ \\ $$$$\left.\mathrm{Q1}\right)\:\:\:\mathrm{Give}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{line}\:\mathrm{which} \\ $$$$\mathrm{contains}\:\mathrm{the}\:\mathrm{point}\:\mathrm{D}. \\…
Question Number 111183 by mohannalamati last updated on 02/Sep/20 $${y}^{{old}} \\ $$ Commented by bemath last updated on 02/Sep/20 $$\mathrm{what}\:\mathrm{your}\:\mathrm{question}\:? \\ $$ Answered by mathmax…