Question Number 141668 by mnjuly1970 last updated on 22/May/21 $$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:…….{Advanced}\:…\bigstar\:…\bigstar\:…\:{Calculus}……. \\ $$$$\:\:\:\:\:\:\:\:\:{if}\:\:\:\:\Omega\:=\underset{{n}=\mathrm{2}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} \zeta\left({n}\right)}{\mathrm{2}^{{n}} }\:{then}\:{prove} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{that}\:::\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}}\:=\:{e}^{\Omega−\mathrm{1}} \:\: \\ $$$$\:\:\:\:{proof}\::: \\ $$$$\:\:\:\:{method}\:\left(\mathrm{1}\right):…
Question Number 10597 by Saham last updated on 19/Feb/17 $$\mathrm{prove}\:\mathrm{that} \\ $$$$\mid\mathrm{z}_{\mathrm{1}} −\:\mathrm{z}_{\mathrm{2}} \mid\:\leqslant\:\mid\mathrm{z}_{\mathrm{1}} \mid\:+\:\mid\mathrm{z}_{\mathrm{2}} \mid \\ $$ Answered by mrW1 last updated on 19/Feb/17…
Question Number 141665 by bekzodjumayev last updated on 22/May/21 Commented by bekzodjumayev last updated on 22/May/21 $${Please}\:{Help} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 76126 by Master last updated on 24/Dec/19 Commented by benjo last updated on 24/Dec/19 Commented by benjo last updated on 24/Dec/19 $$\mathrm{i}\:\mathrm{cannot}\:\mathrm{find}\:\mathrm{formula}\:\mathrm{the}\:\mathrm{simple}\:\mathrm{form}\:\mathrm{n}−\:\mathrm{th} \\…
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Question Number 141663 by ajfour last updated on 22/May/21 $$\:\underset{\:\:−−−−−−−−−−−−−−−−−−−} {\:} \\ $$$$\:\:{x}^{\mathrm{2}} \left({x}−\mathrm{12}\right)\left({x}−\mathrm{15}\right)={k}\left({x}−\mathrm{16}\right) \\ $$$$\:\:\:\:{find}\:{x}\:{in}\:{terms}\:{of}\:{k}\:\left(>\mathrm{0}\right). \\ $$$$\:\:\overset{−−−−−−−−−−−−−−−−−−−} {\:} \\ $$ Commented by Rasheed.Sindhi last…
Question Number 76122 by benjo last updated on 24/Dec/19 Answered by john santuy last updated on 24/Dec/19 $${i}\:{think}\:{this}\:{problem}\:{not}\:{difficult} \\ $$ Commented by $@ty@m123 last updated…
Question Number 141658 by bramlexs22 last updated on 22/May/21 Answered by lyubita last updated on 22/May/21 $$−\:\frac{\mathrm{8}}{\mathrm{729}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 141653 by Mathspace last updated on 21/May/21 $${what}\:{is}\:{condition}\:{to}\:{have} \\ $$$${log}\left(\:{I}\:+{A}\right)=\Sigma\:{a}_{{n}} {A}^{{n}} \\ $$$${and}\:{determine}\:{the}\:{sequence}\:\left({a}_{{n}} \right) \\ $$$${A}\:\in\:{M}_{{n}} \left({C}\right) \\ $$ Terms of Service Privacy…
Question Number 10583 by Saham last updated on 19/Feb/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{4}^{\mathrm{th}\:} \:\mathrm{and}\:\mathrm{6}^{\mathrm{th}\:} \mathrm{terms}\:\mathrm{of}\:\mathrm{an}\:\mathrm{AP}\:\mathrm{is}\:\mathrm{42}.\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{third}\:\mathrm{and}\:\mathrm{9th}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{proression}\:\mathrm{is}\:\mathrm{52}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{first}\:\mathrm{term}\:,\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}\:\mathrm{and}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{10}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{progression}. \\ $$ Commented by Saham last updated…