Question Number 133103 by 777316 last updated on 18/Feb/21 Commented by bemath last updated on 18/Feb/21 $$\mathrm{If}\:\mathrm{x}+\mathrm{y}\:=\:\mathrm{c}\:\mathrm{then}\:\mathrm{ln}\:\mathrm{x}+\mathrm{ln}\:\mathrm{y}\:\neq\:\mathrm{ln}\:\mathrm{c}\: \\ $$$$\mathrm{sir}\: \\ $$ Commented by malwan last…
Question Number 67564 by azizullah last updated on 28/Aug/19 Commented by mathmax by abdo last updated on 28/Aug/19 $${F}\left(\mathrm{0}\right)=\mathrm{0}\:=\mathrm{1}+\mathrm{1}\:+\mathrm{2}\:+{f}\:\Rightarrow{f}\:=−\mathrm{4}\:\Rightarrow \\ $$$${F}\left({x}\right)\:=−\frac{\mathrm{1}}{{x}−\mathrm{1}}+\frac{\mathrm{1}}{{x}+\mathrm{1}}\:+\frac{\mathrm{2}}{{x}^{\mathrm{2}} \:+\mathrm{1}}−\frac{\mathrm{4}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} }\:. \\…
Question Number 133097 by otchereabdullai@gmail.com last updated on 18/Feb/21 $$\mathrm{Assuming}\:\mathrm{that}\:\mathrm{word}\:\mathrm{population}\:\mathrm{is}\: \\ $$$$\mathrm{6}\:\mathrm{billion}\:\mathrm{and}\:\mathrm{total}\:\mathrm{world}\:\mathrm{trips}\:\mathrm{is}\: \\ $$$$\mathrm{4}.\mathrm{8}\:\mathrm{billion} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{country}\:\mathrm{potential}\: \\ $$$$\mathrm{generation}\:\mathrm{index}\:\left(\mathrm{CPG}\:\mathrm{I}\right)\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{country} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{interprete}\:\mathrm{your}\:\mathrm{results}\:\mathrm{in}\:\left(\mathrm{a}\right)\:\mathrm{above}\: \\ $$$$ \\…
Question Number 67561 by azizullah last updated on 28/Aug/19 Answered by Rasheed.Sindhi last updated on 28/Aug/19 $${Let}\:\frac{\mathrm{2}{x}+\mathrm{1}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}−\mathrm{1}\right)}=\frac{{Ax}+{B}}{{x}^{\mathrm{2}} +\mathrm{1}}+\frac{{C}}{{x}−\mathrm{1}} \\ $$$$\:\:\:\:\:\:\:\:\left({Ax}+{B}\right)\left({x}−\mathrm{1}\right)+{C}\left({x}^{\mathrm{2}} +\mathrm{1}\right)=\mathrm{2}{x}+\mathrm{1} \\ $$$${x}=\mathrm{1}\Rightarrow\mathrm{2}{C}=\mathrm{3}\Rightarrow{C}=\mathrm{3}/\mathrm{2} \\…
Question Number 133092 by Algoritm last updated on 18/Feb/21 Answered by MJS_new last updated on 19/Feb/21 $$\approx\mathrm{5}.\mathrm{40343170} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 67559 by Abdo msup. last updated on 28/Aug/19 $${calculate}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{1}}{{n}^{\mathrm{2}\:} +\mathrm{1}}\:\:{and}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \:+\mathrm{1}} \\ $$ Commented by ~ À ®…
Question Number 133094 by mohammad17 last updated on 18/Feb/21 Commented by mohammad17 last updated on 18/Feb/21 $${how}\:{can}\:{prove}\:{this} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 133091 by metamorfose last updated on 18/Feb/21 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\:\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{1}−{t}^{\mathrm{2}} \right)^{\mathrm{3}} {cos}\left({xt}\right){dt}…? \\ $$ Answered by mnjuly1970 last updated on 18/Feb/21 $${answer}:=\mathrm{0}…
Question Number 67542 by mathmax by abdo last updated on 28/Aug/19 $${let}\:{f}\left({a}\right)\:=\int_{−\infty} ^{+\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({a}\:+{e}^{{ix}} \right)}\:\:\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right){find}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{also}\:{g}\left({a}\right)=\int_{−\infty} ^{+\infty} \:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({a}+{e}^{{ix}} \right)^{\mathrm{2}} }…
Question Number 2007 by Rasheed Soomro last updated on 29/Oct/15 $${Determine} \\ $$$$\left({i}\right)\:\:\frac{{d}}{{dx}}\left({x}^{\frac{\mathrm{1}}{{x}}} \right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({ii}\right)\:\int\:{x}^{\frac{\mathrm{1}}{{x}}} {dx} \\ $$ Answered by Yozzi last updated on 29/Oct/15 $${Let}\:{y}={x}^{\mathrm{1}/{x}}…