Question Number 23346 by ajfour last updated on 29/Oct/17 Commented by Physics lover last updated on 29/Oct/17 $${Nice}\:{trick}\:{sir}. \\ $$ Commented by ajfour last updated…
Question Number 88881 by Power last updated on 13/Apr/20 Answered by mahdi last updated on 13/Apr/20 $$\mathrm{A}=\sqrt{\mathrm{4}+\sqrt{\mathrm{4}+\sqrt{\mathrm{4}−\sqrt{\mathrm{4}+\sqrt{\mathrm{4}+\sqrt{\mathrm{4}−…}}}}}} \\ $$$$\mathrm{A}=\sqrt{\mathrm{4}+\sqrt{\mathrm{4}+\sqrt{\mathrm{4}−\mathrm{A}}}}\Rightarrow\mathrm{A}^{\mathrm{2}} =\mathrm{4}+\sqrt{\mathrm{4}+\sqrt{\mathrm{4}−\mathrm{A}}} \\ $$$$\mathrm{A}\backsimeq\mathrm{2}.\mathrm{5070} \\ $$ Terms…
Question Number 23343 by ajfour last updated on 29/Oct/17 Commented by ajfour last updated on 29/Oct/17 $${Q}.\mathrm{23330}\:\left({solution}\right) \\ $$ Commented by Tinkutara last updated on…
Question Number 154415 by mr W last updated on 18/Sep/21 Commented by mr W last updated on 18/Sep/21 $$\left[{Q}\mathrm{154210}\right] \\ $$ Answered by mr W…
Question Number 88876 by Joel578 last updated on 13/Apr/20 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:{X}\:=\:\mathrm{1345789026} \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:\mathrm{that}\:\mathrm{can}\:\mathrm{be}\:\mathrm{made} \\ $$$$\mathrm{using}\:\mathrm{every}\:\mathrm{digit}\:\mathrm{from}\:{X},\:\mathrm{with}\:\mathrm{condition}: \\ $$$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:{n}\:\:\mathrm{is}\:\mathrm{located}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position}\:\mathrm{of}\:{X},\:\mathrm{then} \\ $$$$\mathrm{the}\:\mathrm{new}\:\mathrm{created}\:\mathrm{number}\:\mathrm{must}\:\mathrm{not}\:\mathrm{contain} \\ $$$$\mathrm{number}\:{n}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position} \\ $$$$ \\…
Question Number 154409 by mnjuly1970 last updated on 18/Sep/21 $$ \\ $$$$\:\:{nice}\:{calculus}.. \\ $$$$\:\:\:\:\:{prove}\:\:{that}\:: \\ $$$$\: \\ $$$$\:\mathrm{I}:=\int_{\mathrm{0}} ^{\:\infty} \frac{\:\left(\mathrm{1}+{e}^{\:−{x}} \:\right){sin}^{\:\mathrm{2}} \left({x}\right)}{{x}^{\:\frac{\mathrm{3}}{\mathrm{2}}} }\:=\sqrt{\mathrm{2}\pi}\:\left(\:\mathrm{1}+\:\sqrt{\sqrt{\mathrm{2}}\:−\:\mathrm{1}}\:\right) \\ $$$$\:{m}.{n}…
Question Number 88873 by jagoll last updated on 13/Apr/20 $$\mathrm{3}+\sqrt{{x}^{\mathrm{2}} −\mathrm{5}}\:>\:\mid{x}−\mathrm{1}\mid\: \\ $$ Commented by john santu last updated on 13/Apr/20 $$\Rightarrow\left(\mathrm{3}+\sqrt{{x}^{\mathrm{2}} −\mathrm{5}}\right)^{\mathrm{2}} \:>\:\left({x}−\mathrm{1}\right)^{\mathrm{2}} \\…
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Question Number 23334 by math solver last updated on 28/Oct/17 Commented by math solver last updated on 28/Oct/17 $$\mathrm{find}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{above}\:\mathrm{series}\:? \\ $$ Commented by ajfour last…
Question Number 154407 by aaaspots last updated on 18/Sep/21 $${How}\:{to}\:{do}\:{it}\:{by}\:\subset\:{and}\:\supset\:? \\ $$ Commented by aaaspots last updated on 18/Sep/21 Commented by puissant last updated on…