Question Number 83653 by jagoll last updated on 05/Mar/20 $$\mathrm{find}\:\mathrm{range}\:\mathrm{of}\:\mathrm{function}\: \\ $$$$\mathrm{y}=\:\frac{\mathrm{4}}{\left({x}^{\mathrm{2}} −\mathrm{4}\right)} \\ $$ Answered by MJS last updated on 05/Mar/20 $${x}=\pm\mathrm{2}\sqrt{\frac{{y}+\mathrm{1}}{{y}}} \\ $$$$\Rightarrow\:{y}\leqslant−\mathrm{1}\vee{y}>\mathrm{0}…
Question Number 83649 by 698148290 last updated on 04/Mar/20 Answered by MJS last updated on 05/Mar/20 $$=\int\frac{\sqrt{\mathrm{1}−{x}}}{{x}}{dx}+\int\frac{\sqrt{\mathrm{2}−{x}^{\mathrm{2}} }}{{x}}{dx}+\int\frac{\sqrt{\mathrm{4}−{x}^{\mathrm{4}} }}{{x}}{dx} \\ $$$$\mathrm{substitute} \\ $$$${u}=\sqrt{\mathrm{1}−{x}}\:\rightarrow\:{dx}=−\mathrm{2}\sqrt{\mathrm{1}−{x}}{du} \\ $$$${v}=\sqrt{\mathrm{2}−{x}^{\mathrm{2}}…
Question Number 83639 by niroj last updated on 04/Mar/20 $$ \\ $$$$\: \\ $$$$\:\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{differential}}\:\boldsymbol{\mathrm{equations}}: \\ $$$$\:\:\:\left(\mathrm{i}\right)\:\mathrm{log}\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)=\mathrm{ax}+\mathrm{by} \\ $$$$\:\:\:\left(\mathrm{ii}\right)\:\mathrm{x}\:\mathrm{cos}\:\mathrm{y}\:\mathrm{dy}=\left(\mathrm{x}\:\mathrm{e}^{\mathrm{x}} \mathrm{log}\:\mathrm{x}\:+\mathrm{e}^{\mathrm{x}} \right)\mathrm{dx} \\ $$$$ \\ $$ Answered…
Question Number 149077 by mnjuly1970 last updated on 02/Aug/21 $$ \\ $$$$\:\:\:\:\:\:\Omega\::=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{ln}\:\left(\:\mathrm{1}+\:\sqrt{{x}}\:\right)}{\mathrm{1}+{x}}\:{dx}\:=? \\ $$$$\:…..{m}.{n}….. \\ $$ Answered by mindispower last updated on 02/Aug/21…
Question Number 83520 by john santu last updated on 03/Mar/20 $$\mathrm{closest}\:\mathrm{distance}\:\mathrm{point}\:\left(\mathrm{6},\mathrm{9}\right)\: \\ $$$$\mathrm{to}\:\mathrm{curve}\:\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} −\mathrm{12x}+\mathrm{32}\:. \\ $$$$\mathrm{mister}\:\mathrm{w}\:\mathrm{your}\:\mathrm{method}\:\mathrm{can}\:\mathrm{be}\: \\ $$$$\mathrm{applied}\:\mathrm{to}\:\mathrm{this}\:\mathrm{problem}? \\ $$ Answered by john santu last…
Question Number 83511 by jagoll last updated on 03/Mar/20 $$\mathrm{find}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mid\mathrm{x}−\mathrm{y}\mid\:+\sqrt{\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} +\left(\mathrm{y}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Answered by john santu last updated on 03/Mar/20 $$\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{we}\:\mathrm{get}\:\mathrm{when}\:…
Question Number 83500 by 20092104 last updated on 03/Mar/20 $$\frac{{d}}{{dx}}\left(\left({a}+{bx}\right)^{{c}+{dx}} \right) \\ $$ Answered by john santu last updated on 03/Mar/20 $$\mathrm{let}\:\mathrm{y}\:=\:\left(\mathrm{a}+\mathrm{bx}\right)^{\mathrm{c}+\mathrm{dx}} \\ $$$$\mathrm{ln}\:\mathrm{y}\:=\:\left(\mathrm{c}+\mathrm{dx}\right)\:\mathrm{ln}\:\left(\mathrm{a}+\mathrm{bx}\right) \\…
Question Number 83495 by john santu last updated on 03/Mar/20 $$\mathrm{closest}\:\mathrm{distance}\:\mathrm{point}\:\left(\mathrm{3},\mathrm{0}\right)\:\mathrm{to}\:\mathrm{curve}\: \\ $$$$\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{x}+\mathrm{4}\:? \\ $$ Commented by john santu last updated on 03/Mar/20 $$\mathrm{d}\:=\:\sqrt{\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}}…
Question Number 148961 by DomaPeti last updated on 01/Aug/21 $$\left({L}\centerdot\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }+{n}_{\mathrm{0}} \right){sin}\left({atan}\left({df}\left({x}\right)/{dx}\right)\right)={c} \\ $$$${f}\left({x}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 83413 by jagoll last updated on 02/Mar/20 $$\mathrm{y}\:=\:\mathrm{x}\:\mid\mathrm{x}\mid \\ $$$$\mathrm{find}\:\mathrm{y}\:'\:? \\ $$ Commented by mr W last updated on 02/Mar/20 $$\mid{x}\mid={sign}\left({x}\right){x} \\ $$$${y}={sign}\left({x}\right){x}^{\mathrm{2}}…