Question Number 4973 by hung260677 last updated on 28/Mar/16 Answered by Rasheed Soomro last updated on 30/Mar/16 $$\frac{\mathrm{3}{x}^{\mathrm{2}} +{xy}−{y}^{\mathrm{2}} }{{x}+{y}}=\mathrm{9}\:\wedge\:\frac{\mathrm{2}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} {y}}{{x}+{y}}=\mathrm{20} \\ $$$$\Rightarrow\:{x}+{y}=\frac{\mathrm{3}{x}^{\mathrm{2}} +{xy}−{y}^{\mathrm{2}}…
Question Number 4971 by Rasheed Soomro last updated on 28/Mar/16 Commented by Rasheed Soomro last updated on 28/Mar/16 $${Write}\:{process}\:{also}. \\ $$ Commented by Rasheed Soomro…
Question Number 136040 by zakirullah last updated on 18/Mar/21 $$\:\:\:\:\:\:{find}\:{the}\:{smallest}\:{number}\:{which}\:{when}\:{we}\:{divide}\:{by}\:\mathrm{12},\mathrm{15},\mathrm{18},\:\mathrm{and}\:\mathrm{27}\:\mathrm{leaves}\:\mathrm{a}\:\mathrm{remainder} \\ $$$$\:\:\:\:\:\:\mathrm{of}\:\mathrm{8},\mathrm{11},\mathrm{14}\:\mathrm{and}\:\mathrm{23}\:\mathrm{respectively}? \\ $$ Answered by mr W last updated on 18/Mar/21 $${N}=\mathrm{27}{a}+\mathrm{23}=\mathrm{27}{a}+\mathrm{9}+\mathrm{14} \\ $$$$\mathrm{27}{a}+\mathrm{9}=\mathrm{18}{b}\:\Rightarrow\mathrm{3}{a}+\mathrm{1}=\mathrm{2}{b}\:\Rightarrow{a}=\mathrm{2}{c}+\mathrm{1}…
Question Number 4970 by Yozzii last updated on 28/Mar/16 $${Let}\:{sinh}^{−\mathrm{1}} \left({a}+{bi}\right)={c}+{di}\:{where}\:{a},{b},{c},{d}\in\mathbb{R}, \\ $$$${b}\neq\mathrm{0}\:{and}\:{i}=\sqrt{−\mathrm{1}}.\:{Find}\:{each}\:{of}\:{c}\:{and}\:{d}\:{in}\:{terms} \\ $$$${of}\:{a}\:{and}\:{b}.\:{For}\:{f}:\:{x}\mid\rightarrow{sinh}^{−\mathrm{1}} {x},\:{f}\:{is}\:{the}\: \\ $$$${arc},{hyperbolic}\:{sine}\:{function}. \\ $$ Terms of Service Privacy Policy…
Question Number 136043 by JulioCesar last updated on 18/Mar/21 Answered by rs4089 last updated on 18/Mar/21 $$\int{sec}^{\mathrm{8}} {x}.{dx} \\ $$$$\int\left(\mathrm{1}+{tan}^{\mathrm{2}} {x}\right)^{\mathrm{3}} {sec}^{\mathrm{2}} {x}.{dx} \\ $$$${tanx}={t}\:\Rightarrow{sec}^{\mathrm{2}}…
Question Number 136036 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{logx}}{\mathrm{x}^{\mathrm{4}} \:+\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}}\mathrm{dx} \\ $$ Commented by Ajetunmobi last updated on 18/Mar/21…
Question Number 70503 by peter frank last updated on 04/Oct/19 Commented by Prithwish sen last updated on 06/Oct/19 $$\mathrm{Let}\:\mathrm{O}=\left(\mathrm{x}_{\mathrm{1}} ,\mathrm{y}_{\mathrm{1}} \right) \\ $$$$\because\:\mathrm{It}\:\mathrm{is}\:\mathrm{on}\:\mathrm{the}\:\mathrm{circle}\: \\ $$$$\therefore\boldsymbol{\mathrm{x}}_{\mathrm{1}}…
Question Number 136039 by liberty last updated on 18/Mar/21 $${Find}\:{the}\:{value}\:{of}\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} \: \\ $$$${for}\:{a},{b}\:{real}\:{number}\:{such}\:{that} \\ $$$$\:{a}\:=\:{b}+\frac{\mathrm{1}}{{a}+\frac{\mathrm{1}}{{b}+\frac{\mathrm{1}}{{a}+…}}} \\ $$$${and}\:{b}\:=\:{a}−\frac{\mathrm{1}}{{b}+\frac{\mathrm{1}}{{a}−\frac{\mathrm{1}}{{b}+…}}} \\ $$ Commented by MJS_new last updated…
Question Number 136038 by frc2crc last updated on 18/Mar/21 $${Find}\:{a}_{{n}\:} {if} \\ $$$$\frac{\mathrm{1}}{{z}^{{m}} }×\mathrm{coth}\:\left(\pi{z}\right)×\mathrm{cot}\:\left({z}\pi\right)=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{a}_{{n}} {z}^{{n}} \\ $$$${around}\:{z}=\mathrm{0} \\ $$ Terms of Service Privacy…
Question Number 4964 by ankit chakravarti last updated on 27/Mar/16 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{\left(\mathrm{1}−\mathrm{cos}\:\mathrm{2}{x}\right)\centerdot\left(\mathrm{3}+\mathrm{cos}\:{x}\right)}{{x}\centerdot\mathrm{tan4}{x}}=? \\ $$$$ \\ $$ Answered by FilupSmith last updated on 29/Mar/16 Commented by…