Question Number 192126 by universe last updated on 08/May/23 $$\:\:\:\:\boldsymbol{{prove}}\:\boldsymbol{{that}} \\ $$$$\:\:\:\:\:\:\mid\boldsymbol{{z}}\mid\:>\:\frac{\mid\boldsymbol{{Re}}\left(\boldsymbol{{z}}\right)\mid\:+\mid\boldsymbol{{Im}}\left(\boldsymbol{{z}}\right)\mid}{\mathrm{2}}\:\:,\:\:\:\forall\boldsymbol{{z}}\in\mathbb{C} \\ $$ Commented by York12 last updated on 09/May/23 $${sir}\:{how}\:{can}\:{I}\:{reach}\:{you}\:{out}\:,\:{I}\:{need}\:{to}\:{ask}\:{several}\:{questions} \\ $$ Answered…
Question Number 126586 by benjo_mathlover last updated on 22/Dec/20 $$\:\:\int\:\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}−\mathrm{sin}\:{x}}\:{dx}\:? \\ $$ Answered by liberty last updated on 22/Dec/20 $${partial}\:{fraction} \\ $$$$\:\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}−\mathrm{sin}\:{x}}\:=\:{P}\left(\frac{\mathrm{cos}\:{x}−\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}−\mathrm{sin}\:{x}}\right)+{Q}\:\frac{\frac{{d}}{{dx}}\left(\mathrm{cos}\:{x}−\mathrm{sin}\:{x}\right)}{\mathrm{cos}\:{x}−\mathrm{sin}\:{x}} \\ $$$$\Leftrightarrow\:\mathrm{sin}\:{x}\:=\:{P}\left(\mathrm{cos}\:{x}−\mathrm{sin}\:{x}\right)+{Q}\left(−\mathrm{sin}\:{x}−\mathrm{cos}\:{x}\right) \\…
Question Number 61048 by Gulay last updated on 28/May/19 Commented by Gulay last updated on 28/May/19 $$\mathrm{AB}=\mathrm{30}\:\:\:\:\mathrm{BD}=\mathrm{24}\:\:\:\mathrm{Find}\:\mathrm{DC}\:\:\:<\mathrm{B}=\mathrm{90} \\ $$$$\mathrm{sir}\:\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$ Answered by mr W…
Question Number 61045 by mathsolverby Abdo last updated on 28/May/19 $${calculate}\:{I}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:{cos}\left(\mathrm{2}{arctanx}\right){dx} \\ $$$${and}\:{J}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:{sin}\left(\mathrm{2}{arctanx}\right){dx} \\ $$ Commented by maxmathsup by imad last…
Question Number 192118 by Red1ight last updated on 08/May/23 $$\mathrm{given}\:\mathrm{points}\:\left({a},{b}\right)\:\mathrm{where}\:{a},{b}\:\in\mathbb{R} \\ $$$$\mathrm{how}\:\mathrm{to}\:\mathrm{get}\:\mathrm{the}\:\mathrm{best}\:\mathrm{fit}\:\mathrm{parabola}\:\mathrm{that}\:\mathrm{go}\:\mathrm{through}\:\mathrm{the}\:\mathrm{origin} \\ $$$$\mathrm{and}\:\mathrm{open}\:\mathrm{downward}\:\left(\mathrm{coefficient}\:\mathrm{of}\:{x}^{\mathrm{2}} \:\mathrm{is}\:\mathrm{negative}\right)? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 192112 by Spillover last updated on 08/May/23 $${prove}\:{that}.\:\:\:\:\:\:\:\mathrm{0}!=\mathrm{1} \\ $$ Commented by Frix last updated on 08/May/23 $$\mathrm{I}\:\mathrm{think}\:\mathrm{it}'\mathrm{s}\:\mathrm{defined}\:\mathrm{0}!=\mathrm{1}\: \\ $$$$\mathrm{There}'\mathrm{s}\:\mathrm{the}\:\mathrm{idea}\:\mathrm{of}\:\mathrm{the}\:“\mathrm{Empty}\:\mathrm{Product}'' \\ $$$$\:\:\:\:\:\mathrm{It}'\mathrm{s}\:\mathrm{obvious}\:\mathrm{that}\:\mathrm{the}\:“\mathrm{Empty}\:\mathrm{Sum}''=\mathrm{0} \\…
Question Number 61042 by aliesam last updated on 28/May/19 Answered by ajfour last updated on 28/May/19 $${let}\:\:{N}\bigtriangleup{x}=\mathrm{5}−\mathrm{2}=\mathrm{3} \\ $$$$\:\:\:\:\:\:\:\:{x}=\mathrm{2}+{n}\bigtriangleup{x}\:=\:\mathrm{2}+\frac{\mathrm{3}{n}}{{N}} \\ $$$$\int_{\mathrm{2}} ^{\:\mathrm{5}} \left({x}^{\mathrm{3}} −\mathrm{1}\right){dx}=\underset{{N}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{3}}{{N}}\underset{{n}=\mathrm{1}}…
Question Number 192115 by mnjuly1970 last updated on 08/May/23 $$ \\ $$$$\:\Omega\:=\:\mathrm{lim}_{\:{x}\rightarrow\mathrm{0}} \:\left(\:\:\frac{\:\mathrm{cot}^{\:−\mathrm{1}} \:\left(\frac{\mathrm{1}}{{x}}\:\right)}{\:{x}}\:\right)^{\frac{\mathrm{1}}{{x}^{\:\mathrm{2}} }} =\:?\:\:\:\:\:\: \\ $$$$\:\: \\ $$$$ \\ $$ Answered by mehdee42…
Question Number 61041 by mathsolverby Abdo last updated on 28/May/19 $${calculate}\:\int_{\mathrm{1}} ^{+\infty} \:\frac{\left[\mathrm{2}{x}\right]−\left[{x}\right]}{{x}^{\mathrm{4}} }\:{dx}\: \\ $$ Commented by maxmathsup by imad last updated on 29/May/19…
Question Number 126577 by benjo_mathlover last updated on 22/Dec/20 $$\:\:\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\:\sqrt[{\mathrm{3}}]{\left(\mathrm{3}−{x}\right){x}^{\mathrm{2}} }\:{dx}\:=?\: \\ $$ Answered by Dwaipayan Shikari last updated on 22/Dec/20 $$\int_{\mathrm{0}} ^{\mathrm{3}}…