Question Number 149123 by Samimsultani last updated on 03/Aug/21 Answered by EDWIN88 last updated on 03/Aug/21 $$\mathrm{2}^{\mathrm{99}} \\ $$ Answered by abdurehime last updated on…
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Question Number 83570 by TawaTawa1 last updated on 03/Mar/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:\mathrm{a}\:\mathrm{point}\:\mathrm{which}\:\mathrm{moves}\:\mathrm{such}\:\mathrm{that}\:\mathrm{its} \\ $$$$\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{line}\:\:\:\mathrm{y}\:\:=\:\:\mathrm{4}\:\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{constant}\:\:\:\mathrm{k}. \\ $$ Commented by TawaTawa1 last updated on 03/Mar/20 $$\mathrm{Please}\:\mathrm{help}. \\ $$ Commented…
Question Number 83554 by Power last updated on 03/Mar/20 Answered by MJS last updated on 03/Mar/20 $${x}^{\mathrm{4}} +\mathrm{4}{x}^{\mathrm{3}} −\mathrm{8}{x}+\frac{\mathrm{17}}{\mathrm{5}}=\mathrm{0} \\ $$$$\mathrm{let}\:{x}={t}−\mathrm{1} \\ $$$${t}^{\mathrm{4}} −\mathrm{6}{t}^{\mathrm{2}} +\frac{\mathrm{42}}{\mathrm{5}}=\mathrm{0}…
Question Number 83543 by Power last updated on 03/Mar/20 Commented by john santu last updated on 03/Mar/20 $$\mathrm{let}\:\mathrm{1}+\mathrm{2x}+\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}^{\mathrm{3}} +\mathrm{5x}^{\mathrm{4}} +…\:=\:\mathrm{f}\left(\mathrm{x}\right) \\ $$$$\int\:\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\:\int\left(\mathrm{1}+\mathrm{2x}+\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}^{\mathrm{3}} +…\right)\mathrm{dx}…
Question Number 83542 by Power last updated on 03/Mar/20 Answered by john santu last updated on 03/Mar/20 $$\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}^{\mathrm{2x}−\mathrm{1}} } \\ $$$$\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{2001}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}^{\frac{\mathrm{2}}{\mathrm{2001}}−\mathrm{1}} } \\ $$$$\mathrm{f}\left(\frac{\mathrm{2}}{\mathrm{2001}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}^{\frac{\mathrm{2}}{\mathrm{2001}}−\mathrm{1}} }…
Question Number 17997 by 433 last updated on 13/Jul/17 $${Solve}\:{on}\:\mathbb{Z}_{\mathrm{18}} \\ $$$$\begin{cases}{\left[\mathrm{6}\right]_{\mathrm{18}} {x}+\left[\mathrm{7}\right]_{\mathrm{18}} {y}=\left[\mathrm{1}\right]_{\mathrm{18}} }\\{\left[\mathrm{2}\right]_{\mathrm{18}} {x}+\left[\mathrm{3}\right]_{\mathrm{18}} {y}=\left[\mathrm{11}\right]_{\mathrm{18}} }\end{cases} \\ $$ Terms of Service Privacy Policy…
Question Number 149060 by mathdanisur last updated on 02/Aug/21 $${if}\:\:\:\mathrm{4}{z}\sqrt{{z}}\:−\:\mathrm{11}\sqrt{{z}}\:=\:\mathrm{5} \\ $$$${find}\:\:\:\mathrm{2}{z}\:−\:\sqrt{{z}}\:=\:? \\ $$ Answered by bramlexs22 last updated on 02/Aug/21 $$\Rightarrow\sqrt{\mathrm{z}}\:=\:\mathrm{u}\: \\ $$$$\Rightarrow\mathrm{4z}\sqrt{\mathrm{z}}−\sqrt{\mathrm{z}}\:=\:\mathrm{5}+\mathrm{10}\sqrt{\mathrm{z}} \\…
Question Number 17985 by tawa tawa last updated on 13/Jul/17 $$\mathrm{solve}\:\mathrm{simultaneously}. \\ $$$$\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{y}^{\mathrm{3}} \:=\:\mathrm{35} \\ $$$$\mathrm{x}^{\mathrm{4}} \:+\:\mathrm{y}^{\mathrm{4}} \:=\:\mathrm{97} \\ $$ Answered by mrW1 last…
Question Number 83512 by jagoll last updated on 03/Mar/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\: \\ $$$$\frac{\mathrm{4x}^{\mathrm{2}} }{\left(\mathrm{1}−\sqrt{\mathrm{2x}+\mathrm{1}}\right)^{\mathrm{2}} }\:<\:\mathrm{2x}+\mathrm{9} \\ $$ Answered by john santu last updated on 03/Mar/20 $$\left(\mathrm{1}\right)\:\mathrm{2x}\:+\mathrm{9}\:>\:\mathrm{0}\:\Rightarrow\:\mathrm{x}\:>\:−\frac{\mathrm{9}}{\mathrm{2}}…