Question Number 140042 by denzel last updated on 03/May/21 Answered by MJS_new last updated on 03/May/21 $$\mathrm{254}=\frac{\mathrm{1269}}{\mathrm{4}+\mathrm{46e}^{−.\mathrm{3}{t}} } \\ $$$$\mathrm{just}\:\mathrm{transform}\:\mathrm{it} \\ $$$$\mathrm{e}^{−.\mathrm{3}{t}} =\frac{\frac{\mathrm{1269}}{\mathrm{254}}−\mathrm{4}}{\mathrm{46}}=\frac{\mathrm{11}}{\mathrm{508}} \\ $$$$−.\mathrm{3}{t}=\mathrm{ln}\:\frac{\mathrm{11}}{\mathrm{508}}…
Question Number 74502 by mathmax by abdo last updated on 25/Nov/19 $${let}\:{f}\left({x}\right)={e}^{−{nx}} {ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right) \\ $$$$\left.\mathrm{1}\right){determine}\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){developp}\:{f}\:{at}\:{integr}\:{serie}\:\:\:\left({n}\:{integr}\:{natural}\right) \\ $$ Commented by mathmax…
Question Number 74503 by crystal0207 last updated on 25/Nov/19 Commented by mathmax by abdo last updated on 25/Nov/19 $$\left.{a}\right)\int_{\mathrm{0}} ^{\infty} \:{x}^{\alpha−\mathrm{1}} \:{e}^{−\lambda{x}} {dx}\:=_{\lambda{x}={t}} \:\:\:\:\int_{\mathrm{0}} ^{\infty}…
Question Number 74500 by mathmax by abdo last updated on 25/Nov/19 $$\left.\mathrm{1}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{{x}^{\mathrm{3}} −\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{4}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right){find}\:\:\:\int_{\mathrm{3}} ^{+\infty} \:{F}\left({x}\right){dx} \\ $$ Terms of Service Privacy…
Question Number 8965 by Joel575 last updated on 08/Nov/16 $${If} \\ $$$${xy}\:−\:{x}\:=\:{yz}\:−\:\mathrm{2}{y}\:=\:{xz}\:+\:\mathrm{3}{z}\:=\:\mathrm{3} \\ $$$${and} \\ $$$${xyz}\:>\:\mathrm{0} \\ $$$${What}\:{is}\:{the}\:{value}\:{of}\:{xyz}\:? \\ $$ Commented by sou1618 last updated…
Question Number 74501 by mathmax by abdo last updated on 25/Nov/19 $$\:{let}\:{P}\left({x}\right)=\frac{\mathrm{1}}{{n}!}\left({x}^{\mathrm{2}} −\mathrm{1}\right)^{{n}} \\ $$$${calculate}\:{P}^{\left({n}\right)} \left({x}\right)\:\:{and}\:{P}^{\:\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$ Commented by mathmax by…
Question Number 8964 by Joel575 last updated on 08/Nov/16 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{problem}? \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{log}\:\left({x}^{\mathrm{3}} \:+\:\left(\mathrm{log}\:{x}\right)^{\mathrm{3}} \right)}{\mathrm{log}\:\left({x}^{\mathrm{2}} \:+\:\left(\mathrm{log}\:{x}\right)^{\mathrm{2}} \right)}\: \\ $$ Commented by sou1618 last updated on…
Question Number 74498 by mathmax by abdo last updated on 25/Nov/19 $$\left.\mathrm{1}\right)\:{calculte}\:\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:{e}^{−{nx}} \left[{e}^{{x}} \right]\:{dx}\:\:\:{with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{2} \\ $$$$\left.\mathrm{2}\right){find}\:{lim}_{{n}\rightarrow+\infty} \:{n}^{{n}} \:{A}_{{n}} \\ $$ Commented by…
Question Number 74499 by mathmax by abdo last updated on 25/Nov/19 $${decompose}\:{inside}\:{C}\left({x}\right)\:{the}\:{fraction} \\ $$$${f}\left({x}\right)=\frac{\mathrm{1}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{{n}} } \\ $$ Commented by mathmax by abdo last updated…
Question Number 140029 by metamorfose last updated on 03/May/21 $${si}\:{p}={ab}\:{and}\:\left({a}=\mathrm{1}\:{ou}\:{b}=\mathrm{1}\right)\:{then}\:{p}\:{is}\:{prime}? \\ $$ Answered by MJS_new last updated on 03/May/21 $$\mathrm{example}:\:{a}=\mathrm{1}\wedge{b}=\mathrm{4}\:\Rightarrow\:{p}=\mathrm{4}\:\mathrm{not}\:\mathrm{prime} \\ $$ Terms of Service…