Question Number 74509 by ajfour last updated on 25/Nov/19 Commented by ajfour last updated on 25/Nov/19 $${Find}\:{the}\:{radius}\:{of}\:{circle}.\:\bigtriangleup{ABC} \\ $$$${is}\:{equilateral}\:{with}\:{side}\:{unity}. \\ $$ Commented by ajfour last…
Question Number 8972 by tawakalitu last updated on 09/Nov/16 $$\mathrm{A}\:\mathrm{cylindrical}\:\mathrm{can}\:\mathrm{of}\:\mathrm{internal}\:\mathrm{diameter}\:\mathrm{8cm} \\ $$$$\mathrm{contains}\:\mathrm{water}\:\mathrm{to}\:\mathrm{a}\:\mathrm{deep}\:\mathrm{of}\:\mathrm{6cm}.\:\mathrm{24000}\:\mathrm{heavy} \\ $$$$\mathrm{spherical}\:\mathrm{pullet}\:\mathrm{of}\:\mathrm{diameter}\:\mathrm{2mm}\:\mathrm{are}\:\mathrm{dropped} \\ $$$$\mathrm{into}\:\mathrm{the}\:\mathrm{can}.\:\mathrm{how}\:\mathrm{far}\:\mathrm{does}\:\mathrm{the}\:\mathrm{water}\:\mathrm{level}\:\mathrm{rise}\:? \\ $$ Answered by Rasheed Soomro last updated on…
Question Number 140040 by bobhans last updated on 03/May/21 $$\:\sqrt[{\mathrm{3}}]{\mathrm{45}+\mathrm{29}\sqrt{\mathrm{2}}}\:+\:\sqrt[{\mathrm{3}}]{\mathrm{45}−\mathrm{29}\sqrt{\mathrm{2}}}\:=?\: \\ $$ Answered by cherokeesay last updated on 05/May/21 $${U}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{45}\:+\mathrm{29}\sqrt{\mathrm{2}}}\:\:\:\:\:{V}\:=\:\sqrt[{\mathrm{3}}]{\mathrm{45}−\mathrm{29}\sqrt{\mathrm{2}}} \\ $$$${U}^{\:\mathrm{3}} \:=\:\mathrm{45}\:+\mathrm{29}\sqrt{\mathrm{2}}\:\:\:\:{V}^{\:\mathrm{3}} \:=\:\mathrm{45}\:−\mathrm{29}\sqrt{\mathrm{2}}\:\: \\…
Question Number 8969 by lsaBELA last updated on 08/Nov/16 $${ls} \\ $$ Commented by 123456 last updated on 08/Nov/16 $$\mathrm{R}^{\mathrm{3}} \\ $$$${m}=\left\{\right\} \\ $$$$\mathrm{1}\leqslant{i}\leqslant{a};{m}\left[{i}\right]=\left\{\right\} \\…
Question Number 140042 by denzel last updated on 03/May/21 Answered by MJS_new last updated on 03/May/21 $$\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…