Question Number 75552 by aliesam last updated on 12/Dec/19 Commented by mathmax by abdo last updated on 12/Dec/19 $${let}\:{I}\:=\int_{−\sqrt{\mathrm{3}}} ^{\mathrm{3}\sqrt{\mathrm{3}}} \:\mid\left({x}−\mathrm{2}\right)^{\mathrm{2}} −\mathrm{4}\mid{dx}\:\:\Rightarrow{I}\:\:=\int_{−\sqrt{\mathrm{3}}} ^{\mathrm{3}\sqrt{\mathrm{3}}} \mid{x}^{\mathrm{2}} −\mathrm{4}{x}\mid\:{dx}…
Question Number 75553 by aliesam last updated on 12/Dec/19 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{\mathrm{1}}{{x}}\left(\frac{\mathrm{1}}{{sin}\left({x}\right)}−\frac{\mathrm{3}}{{sin}\left(\mathrm{3}{x}\right)}\right) \\ $$ Commented by mathmax by abdo last updated on 12/Dec/19 $${f}\left({x}\right)=\frac{{sin}\left(\mathrm{3}{x}\right)−\mathrm{3}{sinx}}{{x}\:{sin}\left({x}\right){sin}\left(\mathrm{3}{x}\right)}\:\:{we}\:{have}\:{sinx}=\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}}…
Question Number 10016 by ridwan balatif last updated on 21/Jan/17 Commented by ridwan balatif last updated on 21/Jan/17 $$\mathrm{a}\:\mathrm{particle}\:\mathrm{moving}\:\mathrm{in}\:{x}−{y}\:\mathrm{plane}\:\mathrm{that}\:\mathrm{fill}\: \\ $$$$\mathrm{the}\:\mathrm{equation}\:\mathrm{y}=\frac{\mathrm{5}}{\mathrm{8}}\mathrm{x}^{\mathrm{2}} .\:\mathrm{Velocity}\:\mathrm{in}\:\mathrm{x}−\mathrm{coordinate} \\ $$$$\mathrm{is}\:\mathrm{constant}\:\left(\mathrm{12m}/\mathrm{s}\right).\:\mathrm{When}\:\mathrm{x}=\mathrm{1}/\mathrm{3}\:\mathrm{m}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{is}…? \\…
Question Number 141085 by iloveisrael last updated on 15/May/21 Answered by mindispower last updated on 15/May/21 $${sin}\left(\mathrm{3}{a}\right)=\mathrm{3}{sin}\left({a}\right)−\mathrm{4}{sin}^{\mathrm{3}} \left({a}\right)…… \\ $$ Answered by qaz last updated…
Question Number 141087 by greg_ed last updated on 15/May/21 $$\boldsymbol{\mathrm{hi}},\:\boldsymbol{\mathrm{masters}}\:! \\ $$$$\boldsymbol{\mathrm{look}}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{thing}}\:\boldsymbol{\mathrm{carefully}}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\:\mathrm{3}\:\mathrm{4} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}\:\mathrm{6}\:\mathrm{7}\:\mathrm{8}\:\mathrm{9} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{10}\:\mathrm{11}\:\mathrm{12}\:\mathrm{13}\:\mathrm{14}\:\mathrm{15}\:\mathrm{16} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{17}\:\mathrm{18}\:\mathrm{19}\:\mathrm{20}\:…………….. \\ $$$$\:\:\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{line}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{column}}\:\boldsymbol{\mathrm{where}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{number}}\:\mathrm{795471}\:\boldsymbol{\mathrm{will}}\:\boldsymbol{\mathrm{appear}}\:! \\…
Question Number 10012 by konen last updated on 20/Jan/17 $$\mathrm{x}−\mathrm{y}=\mathrm{4}\:\Rightarrow\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} +\mathrm{4x}−\mathrm{4y}}{\mathrm{2x}+\mathrm{2y}+\mathrm{8}}=? \\ $$ Answered by nume1114 last updated on 21/Jan/17 $$\:\:\:\:\frac{{x}^{\mathrm{2}} −{y}^{\mathrm{2}} +\mathrm{4}{x}−\mathrm{4}{y}}{\mathrm{2}{x}+\mathrm{2}{y}+\mathrm{8}} \\…
Question Number 75547 by TawaTawa last updated on 12/Dec/19 $$\:\:\:\:\:\:\mathrm{Evaluate}:\:\:\:\:\:\underset{\mathrm{n}\:=\:\mathrm{0}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{1}}{\mathrm{5n}\:+\:\mathrm{1}}\right) \\ $$ Commented by mind is power last updated on 13/Dec/19 $$\mathrm{mor}\:\mathrm{generaly} \\…
Question Number 141082 by mnjuly1970 last updated on 15/May/21 $$\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:……..\:{nice}\:\:…….\:\:{calculus}\:…….. \\ $$$$\:\:\:\boldsymbol{\phi}:=\underset{{n}=\mathrm{2}} {\overset{\infty} {\sum}}\:\:\frac{\zeta\:\left(\:{n}\:\right)}{{n}\:.\:\mathrm{4}^{{n}} }=? \\ $$$$ \\ $$ Answered by mindispower last…
Question Number 141077 by Opredador last updated on 15/May/21 $$\:{Calculate}\:\:{the}\:\:\underset{{x}\rightarrow\mathrm{1}} {{lim}}\left(\frac{\sqrt{{x}^{{x}} }\:−\:\sqrt{{x}}}{{x}^{{x}} \:−\:{x}}\right). \\ $$ Answered by EDWIN88 last updated on 15/May/21 $$\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{x}^{\mathrm{x}} }−\sqrt{\mathrm{x}}}{\mathrm{x}^{\mathrm{x}}…
Question Number 141076 by ajfour last updated on 15/May/21 $${t}+{x}=\frac{{c}}{\mathrm{2}} \\ $$$$\:{t}^{\mathrm{2}} +{x}^{\mathrm{4}} =\frac{{c}^{\mathrm{2}} }{\mathrm{4}} \\ $$$${find}\:{x}\:{or}\:{t}\:.\:{Given}\:\mathrm{0}<{c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}\: \\ $$ Answered by Rasheed.Sindhi last updated on…