Question Number 171146 by akolade last updated on 08/Jun/22 Commented by cortano1 last updated on 08/Jun/22 $$\:\mathrm{5}{f}\left(\frac{\mathrm{1}}{{x}}\right)={f}\left({x}\right)+\sqrt{{x}}\:…\left(\mathrm{1}\right) \\ $$$$\:\:{f}\left(\frac{\mathrm{1}}{{x}}\right)=\mathrm{5}{f}\left({x}\right)−\frac{\mathrm{1}}{\:\sqrt{{x}}}\:…\left(\mathrm{2}\right) \\ $$$$\left(\mathrm{1}\right)−\mathrm{5}\left(\mathrm{2}\right) \\ $$$$\Rightarrow\mathrm{0}=−\mathrm{24}{f}\left({x}\right)+\sqrt{{x}}+\frac{\mathrm{5}}{\:\sqrt{{x}}} \\ $$$$\Rightarrow{f}\left({x}\right)=\frac{\sqrt{{x}}}{\mathrm{24}}\:+\frac{\mathrm{5}}{\mathrm{24}\sqrt{{x}}}\:…
Question Number 171147 by akolade last updated on 08/Jun/22 Commented by SLVR last updated on 10/Jun/22 $${have}\:{you}\:{got}\:{answer} \\ $$ Commented by akolade last updated on…
Question Number 105609 by mohammad17 last updated on 30/Jul/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 171136 by pablo1234523 last updated on 08/Jun/22 $$\mathrm{Using}\:\mathrm{Taylor}'\mathrm{s}\:\mathrm{theorem},\:\mathrm{prove}\:\mathrm{that} \\ $$$${x}−\frac{{x}^{\mathrm{3}} }{\mathrm{6}}<\mathrm{sin}\:{x}<{x}−\frac{{x}^{\mathrm{3}} }{\mathrm{6}}+\frac{{x}^{\mathrm{5}} }{\mathrm{120}}\:\:\:\mathrm{for}\:{x}>\mathrm{0} \\ $$ Commented by pablo1234523 last updated on 08/Jun/22 Commented…
Question Number 105598 by mohammad17 last updated on 30/Jul/20 Answered by Aziztisffola last updated on 30/Jul/20 $$\mathrm{L}\left\{\mathrm{e}^{\mathrm{ax}} \right\}=\int_{\mathrm{0}} ^{\:\infty} \mathrm{e}^{−\mathrm{sx}} \:\mathrm{e}^{\mathrm{ax}} \:\mathrm{dx}=\int_{\mathrm{0}} ^{\:\infty} \mathrm{e}^{−\mathrm{sx}+\mathrm{ax}} \:\:\mathrm{dx}…
Question Number 171134 by tabata last updated on 08/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 105596 by mohammad17 last updated on 30/Jul/20 Commented by prakash jain last updated on 30/Jul/20 $$\mathrm{Better}\:\mathrm{to}\:\mathrm{write}\:\mathrm{one}\:\mathrm{question}\:\mathrm{at}\:\mathrm{a}\:\mathrm{time}. \\ $$ Terms of Service Privacy Policy…
Question Number 105599 by mohammad17 last updated on 30/Jul/20 Answered by bobhans last updated on 30/Jul/20 $${set}\:{z}\:=\:{y}^{\mathrm{1}−\mathrm{2}} ={y}^{−\mathrm{1}} \\ $$$$\frac{{dz}}{{dx}}\:=\:−{y}^{−\mathrm{2}} \:\frac{{dy}}{{dx}}\:\Rightarrow−{y}^{\mathrm{2}} \:\frac{{dz}}{{dx}}\:=\:\frac{{dy}}{{dx}}\: \\ $$$$\Leftrightarrow\:−{y}^{\mathrm{2}} \:\frac{{dz}}{{dx}}+\mathrm{3}{xy}\:=\:{y}^{\mathrm{2}}…
Question Number 105593 by Study last updated on 30/Jul/20 $${f}\left({x}\right)=\frac{\sqrt{\mathrm{2}{x}+\mathrm{1}}×\sqrt{\mathrm{2}{x}+\mathrm{1}}}{\mathrm{2}{x}+\mathrm{1}}\:\:\:\:\:\:{Dom}_{{f}} =? \\ $$ Answered by mathmax by abdo last updated on 30/Jul/20 $$\left.\mathrm{D}_{\mathrm{f}} =\right]−\frac{\mathrm{1}}{\mathrm{2}},+\infty\left[\right. \\…
Question Number 40022 by MrW3 last updated on 15/Jul/18 $${To}\:{the}\:{developer}\:{Tinku}\:{Tara}: \\ $$$${Dear}\:{sir}, \\ $$$${can}\:{you}\:{please}\:{make}\:{it}\:{possible}\:{again} \\ $$$${that}\:{a}\:{posted}\:{image}\:{can}\:{be}\:{updated} \\ $$$$\left({changed}\right)\:{through}\:{the}\:“{edit}\:{post}'' \\ $$$${function}. \\ $$$${This}\:{was}\:{possible}\:{in}\:{the}\:{past}.\:{But}\:{it}\:{is} \\ $$$${now}\:{not}\:{possible}\:{for}\:{unknown}\:{reasons}. \\…