Question Number 174227 by mnjuly1970 last updated on 27/Jul/22 $$ \\ $$$$\:\:\:{Q}\:: \\ $$$$\:\:\:\:\:\:\:{Max}_{\underset{{x}>\mathrm{1}} {\:}} \:\left(\frac{\:{x}^{\:\mathrm{4}} −{x}^{\:\mathrm{2}} }{{x}^{\:\mathrm{6}} +\:\mathrm{2}{x}^{\:\mathrm{3}} −\:\mathrm{1}}\:\right)\:=\:? \\ $$$$ \\ $$ Commented…
for-positive-real-number-x-and-y-xy-16-then-find-the-minimum-value-of-x-y-greatest-integer-function-
Question Number 174211 by infinityaction last updated on 27/Jul/22 $${for}\:{positive}\:{real}\:{number}\:{x}\: \\ $$$${and}\:{y}\:,\:{xy}\:=\:\mathrm{16}\:{then}\:{find}\:{the} \\ $$$$\:{minimum}\:{value}\:{of}\:\:\left[{x}\right]+\left[{y}\right]\:, \\ $$$$\left[\:\right]\:{greatest}\:{integer}\:{function} \\ $$ Answered by MJS_new last updated on 27/Jul/22…
Question Number 174203 by Michaelfaraday last updated on 27/Jul/22 $${solve}: \\ $$$${x}!=\mathrm{9}, \\ $$$${find}\:{x} \\ $$$$ \\ $$ Commented by mr W last updated on…
Question Number 174197 by Shrinava last updated on 26/Jul/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 174199 by Shrinava last updated on 26/Jul/22 Answered by Mathspace last updated on 27/Jul/22 $$\mho=\int_{{R}} \frac{{x}^{{n}} }{\left(\mathrm{3}+{sin}^{\mathrm{2}} {x}\right)\left(\mathrm{4}+{cos}^{\mathrm{2}} {x}\right)}\chi_{\left[\mathrm{0},\mathrm{1}\right]} \left({x}\right){dx} \\ $$$$=\int_{{R}} {f}_{{n}}…
Question Number 174177 by mathlove last updated on 26/Jul/22 $${x}^{\mathrm{3}} +\frac{\mathrm{1}}{{x}^{\mathrm{3}} }=\mathrm{1}\:\:\:\:\:{then}\:{prove}\:{that} \\ $$$$\frac{\left({x}^{\mathrm{5}} +\frac{\mathrm{1}}{{x}^{\mathrm{5}} }\right)^{\mathrm{3}} −\mathrm{1}}{{x}^{\mathrm{5}} +\frac{\mathrm{1}}{{x}^{\mathrm{5}} }}=\mathrm{3} \\ $$ Answered by mr W…
Question Number 108628 by I want to learn more last updated on 18/Aug/20 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{inequality}\:\:\mid\mathrm{cos}\:\mathrm{x}\mid\:\:\geqslant\:\:\:\mathrm{1}\:\:−\:\:\mathrm{sin}^{\mathrm{2}} \mathrm{x}\:\:\:\:\mathrm{hold}\:\mathrm{true}\:\mathrm{for}\:\mathrm{all}\:\:\mathrm{x}\:\in\:\mathbb{R} \\ $$ Commented by mr W last updated on 18/Aug/20…
Question Number 174144 by Shrinava last updated on 25/Jul/22 $$\mathrm{If}\:\:\mathrm{a},\mathrm{b}\in\mathbb{N}\:\:\mathrm{and}\:\:\mathrm{a}\:\centerdot\:\mathrm{b}\:=\:\mathrm{100} \\ $$$$\mathrm{a}^{\mathrm{6}} \:\centerdot\:\mathrm{b}^{\mathrm{8}} \:\:\mathrm{how}\:\mathrm{many}\:\mathrm{digits}\:\mathrm{can}\:\mathrm{the}\:\mathrm{product} \\ $$$$\mathrm{have}\:\mathrm{at}\:\mathrm{most}? \\ $$$$\mathrm{Answer}:\:\:\mathrm{17} \\ $$ Answered by mr W last…
Question Number 174145 by Shrinava last updated on 25/Jul/22 $$\mathrm{ANI}\:=\:\mathrm{7249000}\:\:\:\mathrm{and}\:\:\:\mathrm{R}\:=\:\mathrm{8} \\ $$$$\mathrm{Find}:\:\:\:\underset{\boldsymbol{\mathrm{p}}=\mathrm{1}} {\overset{\mathrm{20}} {\sum}}\:\left\{\:\frac{\mathrm{ANI}}{\left(\mathrm{1}\:+\:\mathrm{R}\right)^{\boldsymbol{\mathrm{p}}} }\:\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 174143 by Shrinava last updated on 25/Jul/22 $$\mathrm{If}\:\:\mathrm{4}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{5}^{\boldsymbol{\mathrm{y}}} \:=\:\mathrm{3}^{\boldsymbol{\mathrm{z}}} \:\:\mathrm{find}\:\:\frac{\mathrm{a}}{\mathrm{b}}\:+\:\frac{\mathrm{a}}{\mathrm{c}} \\ $$$$\mathrm{Answer}:\:\:\left(\mathrm{1};\mathrm{2}\right) \\ $$ Commented by MJS_new last updated on 26/Jul/22 $$\mathrm{does}\:\mathrm{the}\:\mathrm{color}\:\mathrm{of}\:\mathrm{my}\:\mathrm{shirt}\:\mathrm{change}\:\mathrm{the}\:\mathrm{result}?…