Question Number 136267 by Algoritm last updated on 20/Mar/21 Commented by liberty last updated on 20/Mar/21 $$\int_{{e}} ^{\:{e}^{\mathrm{2}} } \sqrt{{x}+\frac{\mathrm{1}}{\mathrm{2}}\sqrt{{x}+\frac{\mathrm{1}}{\mathrm{4}}\sqrt{{x}+\frac{\mathrm{1}}{\mathrm{8}}\sqrt{…}}}}\:−\sqrt{{x}−\frac{\mathrm{1}}{\mathrm{2}}\sqrt{{x}−\frac{\mathrm{1}}{\mathrm{4}}\sqrt{{x}−\frac{\mathrm{1}}{\mathrm{8}}\sqrt{…}}}}\:{dx} \\ $$ Terms of Service…
Question Number 5190 by sanusihammed last updated on 28/Apr/16 Commented by prakash jain last updated on 29/Apr/16 $$\frac{\mathrm{AB}}{\mathrm{BO}}=\frac{\mathrm{CD}}{\mathrm{DO}} \\ $$$$\frac{\mathrm{5}}{\mathrm{6}}=\frac{{x}}{\mathrm{4}} \\ $$$${x}=\frac{\mathrm{20}}{\mathrm{6}} \\ $$ Commented…
Question Number 136263 by PHANPISEY last updated on 20/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5189 by sanusihammed last updated on 28/Apr/16 Commented by FilupSmith last updated on 28/Apr/16 $${Q}\mathrm{1} \\ $$$${V}={IR} \\ $$$${I}=\frac{{V}}{{R}}\:\Rightarrow\:{I}=\frac{\mathrm{12}}{\mathrm{16}+\mathrm{8}} \\ $$$${I}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$…
Question Number 136256 by EDWIN88 last updated on 20/Mar/21 $$\mathrm{log}\:_{\left(\mathrm{x}−\mathrm{2}\right)} \left(\mathrm{10}−\mathrm{3x}\right)\:<\:\mathrm{2} \\ $$ Answered by liberty last updated on 20/Mar/21 $$\left(\mathrm{1}\right)\:\mathrm{10}−\mathrm{3}{x}\:>\:\mathrm{0}\:;\:\mathrm{3}{x}−\mathrm{10}<\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:{x}\:<\:\frac{\mathrm{10}}{\mathrm{3}} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{log}\:_{\left({x}−\mathrm{2}\right)}…
Question Number 136259 by liberty last updated on 20/Mar/21 $${Given}\:\mathrm{2}{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{{x}}\right)=\mathrm{6}{x}+\frac{\mathrm{3}}{{x}} \\ $$$${then}\:\int_{\mathrm{1}} ^{\:\mathrm{2}} {f}\left({x}\right){dx}=? \\ $$ Answered by EDWIN88 last updated on 20/Mar/21 $$\mathrm{Replacing}\:\mathrm{x}\:\mathrm{by}\:\frac{\mathrm{1}}{\mathrm{x}}\:\mathrm{gives} \\…
Question Number 70720 by oyemi kemewari last updated on 07/Oct/19 $$\mathrm{y}''+\frac{\mathrm{y}'}{\mathrm{x}}+\frac{\mathrm{4y}}{\mathrm{x}^{\mathrm{2}} }=\mathrm{1}+\mathrm{x}^{\mathrm{2}} \\ $$ Commented by Rasheed.Sindhi last updated on 07/Oct/19 $$\mathcal{T}{hank}\:{you}! \\ $$ Commented…
Question Number 5185 by Yozzii last updated on 28/Apr/16 $${If}\:\:\mathrm{2}^{{x}\:} \:{and}\:\:\mathrm{3}^{{x}} \:{are}\:{integers}\:{for}\:{some} \\ $$$${x}\in\mathbb{R}^{+} ,\:{must}\:{x}\:{be}\:{an}\:{integer}?\: \\ $$ Answered by 123456 last updated on 28/Apr/16 $$\mathrm{2}^{{x}}…
Question Number 136258 by EDWIN88 last updated on 20/Mar/21 $$\underset{{x}\rightarrow\mathrm{2a}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{x}−\mathrm{2a}}\:+\:\sqrt{\mathrm{x}}\:−\sqrt{\mathrm{2a}}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{4a}^{\mathrm{2}} }}\:=?\:\mathrm{where}\:\mathrm{a}>\mathrm{0} \\ $$ Answered by liberty last updated on 20/Mar/21 $$\:{L}'{H}\ddot {{o}pital}\: \\…
Question Number 70718 by oyemi kemewari last updated on 07/Oct/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{tan}^{−\mathrm{1}} \mathrm{x}}{\mathrm{1}+\mathrm{x}}\mathrm{dx} \\ $$ Commented by mathmax by abdo last updated on 07/Oct/19…