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Question Number 172999 by Mikenice last updated on 04/Jul/22 Answered by MikeH last updated on 05/Jul/22 $$\mathrm{2}{S}\:=\:{n}\left[\mathrm{2}{a}\:+\:{nd}−{d}\right] \\ $$$$\Rightarrow\:\mathrm{2}{S}\:=\:\mathrm{2}{an}\:+\:{n}^{\mathrm{2}} {d}\:−\:{dn} \\ $$$$\Rightarrow\:{n}^{\mathrm{2}} {d}\:+\:\left(\mathrm{2}{a}−{d}\right){n}−\mathrm{2}{S}\:=\:\mathrm{0} \\ $$$${n}\:=\:\frac{\left({d}−\mathrm{2}{a}\right)\pm\sqrt{\left(\mathrm{2}{a}−{d}\right)^{\mathrm{2}}…
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Question Number 41887 by 123456780 last updated on 14/Aug/18 $$\mathrm{x}+\sqrt{\mathrm{y}}+\mathrm{xy}=\mathrm{82} \\ $$$$\sqrt{\mathrm{x}}+\mathrm{y}+\sqrt{\mathrm{xy}}=\mathrm{16} \\ $$$$\mathrm{Find}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y} \\ $$$$\mathrm{by}\:\mathrm{khaled}.\mathrm{k} \\ $$ Answered by MJS last updated on 14/Aug/18…
Question Number 41855 by 123456780 last updated on 14/Aug/18 $$\underset{{x}\rightarrow+\infty\:\:} {\mathrm{lim}}\frac{\mathrm{n}!}{\mathrm{ln}\:\left(\mathrm{1}+\mathrm{n}!\right)} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{limit} \\ $$ Commented by prof Abdo imad last updated on 14/Aug/18 $${let}\:{put}\:{p}={n}!\:\Rightarrow\:\:\frac{{n}!}{{ln}\left(\mathrm{1}+{n}!\right)}\:=\frac{{p}}{{ln}\left(\mathrm{1}+{p}\right)}…
Question Number 41828 by 123456780 last updated on 13/Aug/18 $$\begin{cases}{\frac{{y}^{{y}} }{{x}}+\frac{{x}^{{x}} }{{y}}=\mathrm{129}}\\{{x}^{{y}} +{y}^{{x}} =\mathrm{32}}\end{cases} \\ $$$${find}\:{x}\:{and}\:{y}? \\ $$$$\:{by}\:{k}.{khaled} \\ $$ Answered by MJS last updated…
Question Number 172891 by cherokeesay last updated on 02/Jul/22 Commented by mr W last updated on 03/Jul/22 $${can}\:{you}\:{please}\:{make}\:{your}\:{question} \\ $$$${clear}\:{and}\:{understandable}\:{sir}? \\ $$ Commented by cherokeesay…
Question Number 41796 by Tawa1 last updated on 12/Aug/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{a} \\ $$$$\:\:\:\:\:\:\mathrm{log}_{\mathrm{a}\:+\:\mathrm{2}} ^{\:\mathrm{8}} \:\:+\:\:\:\:\mathrm{log}_{\mathrm{16}} ^{\:\mathrm{a}} \:\:=\:\:\frac{\mathrm{7}}{\mathrm{4}} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 13/Aug/18…
Question Number 172821 by Mikenice last updated on 01/Jul/22 Commented by MJS_new last updated on 01/Jul/22 $$\mathrm{I}\:\mathrm{am}\:\mathrm{able}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 41721 by Rio Michael last updated on 11/Aug/18 $${show}\:{that} \\ $$$${U}_{{n}} =\:\mathrm{1}+\:{nx}\:+\:\frac{{n}\left({n}−\mathrm{1}\right)}{\mathrm{2}!}\:{x}^{\mathrm{2}\:\:} +\:\frac{{n}\left({n}−\mathrm{1}\right)\left({n}−\mathrm{2}\right)}{\mathrm{3}!}{x}^{\mathrm{3}} +\:…. \\ $$$${for}\:{which}\:{U}_{{n}} =\:\left(\mathrm{1}\:+\:{x}\right)^{{n}} . \\ $$ Commented by maxmathsup…