Question Number 141395 by iloveisrael last updated on 18/May/21 $$ \\ $$A 64.00 cm3 piece of wood is in the shape of a cube. A…
Question Number 141388 by cesarL last updated on 18/May/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \sqrt{\left({senx}\centerdot{cosx}\right)}{dx} \\ $$$${Help} \\ $$ Answered by Dwaipayan Shikari last updated on 18/May/21 $$\int_{\mathrm{0}}…
Question Number 10318 by Tawakalitu ayo mi last updated on 03/Feb/17 $$\mathrm{If}\:\mathrm{12},\:\mathrm{x},\:\mathrm{y}\:\mathrm{and}\:\mathrm{4}\:\mathrm{provides}\:\mathrm{a}\:\mathrm{sequence}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{the}\:\mathrm{first}\:\mathrm{3}\:\mathrm{of}\:\mathrm{the}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{in}\:\mathrm{arithmetic} \\ $$$$\mathrm{progression}.\:\mathrm{Calculate}\:\mathrm{the}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Possible}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{A}.\mathrm{P} \\ $$$$\left(\mathrm{c}\right)\:\mathrm{The}\:\mathrm{product}\:\mathrm{of}\:\mathrm{the}\:\mathrm{last}\:\mathrm{3}\:\mathrm{numbers}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{G}.\mathrm{P} \\…
Question Number 10317 by Tawakalitu ayo mi last updated on 03/Feb/17 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}. \\ $$$$\mathrm{3}^{\mathrm{2x}} \:=\:\mathrm{18x} \\ $$$$\mathrm{please}\:\mathrm{i}\:\mathrm{need}\:\mathrm{workings}. \\ $$ Answered by mrW1 last updated on…
Question Number 75851 by aliesam last updated on 18/Dec/19 Answered by MJS last updated on 18/Dec/19 $$\mathrm{10}\frac{\mathrm{8}+\mathrm{6i}}{\mathrm{3}−\mathrm{i}}=\mathrm{18}+\mathrm{26i}=\left(\mathrm{3}+\mathrm{i}\right)^{\mathrm{3}} \\ $$$$\left({x}+{y}\mathrm{i}\right)^{\mathrm{3}} ={x}^{\mathrm{3}} −\mathrm{3}{xy}^{\mathrm{2}} +\left(\mathrm{3}{x}^{\mathrm{2}} {y}−{y}^{\mathrm{3}} \right)\mathrm{i} \\…
Question Number 141387 by cesarL last updated on 18/May/21 $$\int_{−\pi/\mathrm{4}} ^{\pi/\mathrm{4}} \left({sec}^{\mathrm{2}} {x}+{tgx}\right)^{\mathrm{2}} {dx} \\ $$ Answered by MJS_new last updated on 18/May/21 $$\underset{−\pi/\mathrm{4}} {\overset{\pi/\mathrm{4}}…
Question Number 75848 by behi83417@gmail.com last updated on 18/Dec/19 $$\underset{\mathrm{0}} {\overset{\:\:\:\:\:\:\:\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\int}}\frac{\boldsymbol{\mathrm{sin}}\mathrm{4}\boldsymbol{\mathrm{x}}}{\mathrm{1}+\boldsymbol{\mathrm{sinx}}+\boldsymbol{\mathrm{cosx}}}\boldsymbol{\mathrm{dx}}=? \\ $$ Commented by mathmax by abdo last updated on 18/Dec/19 $${let}\:{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 75849 by behi83417@gmail.com last updated on 18/Dec/19 $$\boldsymbol{\mathrm{In}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{A}}\overset{\bigtriangleup} {\boldsymbol{\mathrm{B}C}}: \\ $$$$\begin{cases}{\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=\mathrm{2}\left(\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{a}}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{b}}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{c}}} \right)}\\{\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{b}}^{\mathrm{2}} +\boldsymbol{\mathrm{c}}^{\mathrm{2}} =\mathrm{6}\boldsymbol{\mathrm{abc}}}\\{\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{a}}} ^{\mathrm{2}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{b}}} ^{\mathrm{2}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{c}}} ^{\mathrm{2}} =\mathrm{6}\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{a}}}…
Question Number 141381 by loveineq last updated on 19/May/21 $$\mathrm{Let}\:\:{a},{b}\:\geqslant\:\mathrm{0}\:.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({a}+{b}+\mathrm{2}\right)^{\mathrm{3}} \:\geqslant\:\frac{\mathrm{27}}{\mathrm{2}}\left({a}^{\mathrm{2}} +{ab}+{b}^{\mathrm{2}} \right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 75846 by behi83417@gmail.com last updated on 18/Dec/19 $$\boldsymbol{\mathrm{sin}}^{\mathrm{5}} \boldsymbol{\mathrm{x}}+\sqrt{\mathrm{2}}\boldsymbol{\mathrm{sinx}}=\mathrm{1}\:\:\:\:\:\:\:\:,\:\:\boldsymbol{\mathrm{x}}\in\left[\mathrm{0},\mathrm{2}\boldsymbol{\pi}\right] \\ $$ Answered by MJS last updated on 18/Dec/19 $${t}=\mathrm{sin}\:{x} \\ $$$${t}^{\mathrm{5}} +\sqrt{\mathrm{2}}{t}−\mathrm{1}=\mathrm{0} \\…