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Question Number 204081 by esmaeil last updated on 05/Feb/24 $${what}\:{is}\:{the}\:{area}\:{of}\:{the}\:{largest}\:{square} \\ $$$${that}\:{can}\:{be}\:{enclosed}\:{in}\:{a}\:{triangle} \\ $$$${with}\:{an}\:{area}\:{of}\:\mathrm{1}? \\ $$ Answered by mr W last updated on 06/Feb/24 Commented…
Question Number 203994 by Davidtim last updated on 03/Feb/24 $${d}\left(\frac{{x}!}{{dx}}\right)=? \\ $$ Answered by Frix last updated on 03/Feb/24 $$\forall{x}\in\mathbb{N}:\:{x}!:=\underset{{n}=\mathrm{1}} {\overset{{x}} {\prod}}{n};\:\mathrm{0}!:=\mathrm{1}\:\Rightarrow \\ $$$$\Rightarrow\:{x}!\:\mathrm{is}\:\mathrm{not}\:\mathrm{continuous}\:\Rightarrow \\…
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Question Number 203970 by CrispyXYZ last updated on 03/Feb/24 $$\mathrm{In}\:\mathrm{a}\:\mathrm{convex}\:\mathrm{quadrilateral}\:{ABCD}\:,\: \\ $$$$\mathrm{if}\:\mathrm{sin}{A}\:=\:\mathrm{cos}{B},\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of} \\ $$$${S}\:=\:\mathrm{3sin}{A}\:+\:\mathrm{4sin}{B}\:+\:\mathrm{5}\sqrt{\mathrm{2}}\mathrm{sin}{C}\:+\:\mathrm{5}\sqrt{\mathrm{2}}\mathrm{sin}{D}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 203933 by liuxinnan last updated on 02/Feb/24 $${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +\mathrm{2}{c}^{\mathrm{2}} =\mathrm{22} \\ $$$${prove}\:{a}+\mathrm{2}{b}+{c}\leqslant\mathrm{11} \\ $$ Answered by York12 last updated on 02/Feb/24 $$\left({a}+\mathrm{2}{b}+{c}\right)^{\mathrm{2}}…
Question Number 203921 by Davidtim last updated on 02/Feb/24 $${prove}\:{that}\:\mathrm{0}^{\mathrm{0}} =\mathrm{1} \\ $$ Commented by malwan last updated on 02/Feb/24 $${this}\:{is}\:{indeterminate}\:{form} \\ $$$${but}\:\underset{{x}\rightarrow\mathrm{0}^{+} } {{lim}}\:{x}^{{x}}…
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Question Number 203941 by Panav last updated on 02/Feb/24 $$\boldsymbol{{If}}\:\boldsymbol{{a}}^{\mathrm{2}\:} −\boldsymbol{{a}}+\mathrm{2}=\mathrm{0}\:\boldsymbol{{and}}\:\boldsymbol{{x}}^{\mathrm{2}} =\boldsymbol{{a}}^{\mathrm{6}} +\mathrm{2}\boldsymbol{{a}}^{\mathrm{4}} +\boldsymbol{{a}}^{\mathrm{2}} \:\boldsymbol{{then}}\:\boldsymbol{{find}}\:\boldsymbol{{x}}? \\ $$$$\boldsymbol{{IIT}}−\boldsymbol{{JEE}}\:\boldsymbol{{based}}\:\boldsymbol{{question}}.\:\boldsymbol{{Find}}\:\boldsymbol{{sol}}^{\boldsymbol{{n}}} . \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 203909 by Davidtim last updated on 01/Feb/24 $${prove}\:{that}\:\:\:\mathrm{0}^{{n}} =\mathrm{0}\:\:\:,\:\:\:\:{n}>\mathrm{0} \\ $$ Answered by Mathspace last updated on 01/Feb/24 $$\mathrm{0}^{{n}} ={lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:{x}^{{n}} \\…