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show-that-the-equation-3x-2-3y-2-24x-12y-12-0-is-a-circle-

Question Number 171156 by MathsFan last updated on 08/Jun/22 $$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{equation}}\: \\ $$$$\:\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{3}\boldsymbol{\mathrm{y}}^{\mathrm{2}} −\mathrm{24}\boldsymbol{\mathrm{x}}+\mathrm{12}\boldsymbol{\mathrm{y}}+\mathrm{12}=\mathrm{0} \\ $$$$\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{circle}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-105616

Question Number 105616 by DeepakMahato last updated on 30/Jul/20 Answered by nimnim last updated on 30/Jul/20 $$\mathrm{217}{x}+\mathrm{131}{y}=\mathrm{913}…..\left(\mathrm{1}\right) \\ $$$$\mathrm{131}{x}+\mathrm{217}{y}=\mathrm{827}…..\left(\mathrm{2}\right) \\ $$$$\left(\mathrm{1}\right)+\left(\mathrm{2}\right)\:\rightarrow\mathrm{348}{x}+\mathrm{348}{y}=\mathrm{1740} \\ $$$$\Rightarrow{x}+{y}=\mathrm{5}………..\left(\mathrm{3}\right) \\ $$$$\left(\mathrm{1}\right)−\left(\mathrm{2}\right)\rightarrow\mathrm{86}{x}−\mathrm{86}{y}=\mathrm{86}…

f-x-1-1-x-x-f-x-

Question Number 105613 by Study last updated on 30/Jul/20 $${f}\left({x}\right)=\left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{x}!} \:\:\:\:\:\:\:\:\:\:\:\:{f}^{'} \left({x}\right)=???? \\ $$ Answered by mathmax by abdo last updated on 30/Jul/20 $$\mathrm{f}\left(\mathrm{x}\right)\:=\mathrm{e}^{\mathrm{x}!\mathrm{ln}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{x}}\right)} \:\Rightarrow\mathrm{f}^{'}…

Question-171146

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}}}\:…

Using-Taylor-s-theorem-prove-that-x-x-3-6-lt-sin-x-lt-x-x-3-6-x-5-120-for-x-gt-0-

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-105598

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-105596

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…