Question Number 75606 by liki last updated on 13/Dec/19 Commented by mathmax by abdo last updated on 15/Dec/19 $$\begin{cases}{{x}−{y}=\mathrm{3}}\\{\mathrm{2}{x}−\mathrm{2}{y}\:={k}\:\:\:\:\:{we}\:{have}\:\Delta_{{s}} =\begin{vmatrix}{\mathrm{1}\:\:\:\:\:\:−\mathrm{1}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:−\mathrm{2}}\end{vmatrix}}\end{cases}=−\mathrm{2}+\mathrm{2}=\mathrm{0} \\ $$$$\Delta_{{x}} =\begin{vmatrix}{\mathrm{3}\:\:\:\:\:\:\:\:\:−\mathrm{1}}\\{{k}\:\:\:\:\:\:\:\:\:\:\:\:−\mathrm{2}}\end{vmatrix}=−\mathrm{6}+{k} \\ $$$$\Delta_{{y}}…
Question Number 75607 by ~blr237~ last updated on 13/Dec/19 $$\mathrm{Prove}\:\mathrm{that}\:\: \\ $$$$\:\int_{\mathrm{0}} ^{\infty} \:\mathrm{3}\left(\frac{\mathrm{sinx}}{\mathrm{x}}\right)^{\mathrm{4}} \mathrm{dx}=\:\pi \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 10070 by Tawakalitu ayo mi last updated on 23/Jan/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{of}\:, \\ $$$$\mathrm{3333333334}^{\mathrm{2}} \\ $$ Answered by ridwan balatif last updated on 23/Jan/17 $$\mathrm{3}^{\mathrm{2}}…
Question Number 10069 by Tawakalitu ayo mi last updated on 23/Jan/17 $$\mathrm{A}\:\mathrm{man}\:\mathrm{can}\:\mathrm{row}\:\mathrm{a}\:\mathrm{boat}\:\mathrm{at}\:\mathrm{4}\:\mathrm{km}/\mathrm{hr}\:\mathrm{in}\:\mathrm{still}\:\mathrm{water}. \\ $$$$\mathrm{He}\:\mathrm{row}\:\mathrm{the}\:\mathrm{boat}\:\mathrm{2km}\:\mathrm{upstream}\:\mathrm{and}\:\mathrm{2km}\:\mathrm{back} \\ $$$$\mathrm{to}\:\mathrm{his}\:\mathrm{starting}\:\mathrm{place}\:\mathrm{in}\:\mathrm{2}\:\mathrm{hours}.\:\mathrm{How}\:\mathrm{fast}\:\mathrm{is}\: \\ $$$$\mathrm{the}\:\mathrm{stream}\:\mathrm{flowing}. \\ $$ Commented by ridwan balatif last…
Question Number 141142 by iloveisrael last updated on 16/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 75602 by peter frank last updated on 13/Dec/19 $${If}\:\mathrm{2}{x}^{\mathrm{2}} −{mxy}+\mathrm{3}{y}^{\mathrm{2}} −\mathrm{5}{y}−\mathrm{2} \\ $$$${have}\:{two}\:{rational}\:{factor}\:{then} \\ $$$${find}\:\:\:{m} \\ $$ Answered by mr W last updated…
Question Number 10067 by konen last updated on 22/Jan/17 $$\frac{\mathrm{a}×\mathrm{b}×\mathrm{c}}{\mathrm{a}+\mathrm{b}}=−\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\frac{\mathrm{a}×\mathrm{b}×\mathrm{c}}{\mathrm{b}+\mathrm{c}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\frac{\mathrm{a}×\mathrm{b}×\mathrm{c}}{\mathrm{a}+\mathrm{c}}=\mathrm{1} \\ $$$$\Rightarrow\mathrm{a}×\mathrm{b}×\mathrm{c}=? \\ $$$$ \\ $$$$ \\ $$ Answered by mrW1…
Question Number 141136 by bobhans last updated on 16/May/21 $$\:\:\:\:{Find}\:{the}\:{smallest}\:{value}\: \\ $$$$\:\:\:\:\mathrm{5}{x}\:+\:\frac{\mathrm{16}}{{x}}\:+\:\mathrm{21}\:{over}\:{positive}\: \\ $$$$\:\:\:{value}\:{of}\:{x}\: \\ $$ Answered by iloveisrael last updated on 16/May/21 $$\:\Rightarrow\:\mathrm{5}{x}\:\&\:\frac{\mathrm{16}}{{x}}\:{have}\:{a}\:{constant}\:{product} \\…
Question Number 10064 by PradipGos. last updated on 22/Jan/17 $$\mathrm{if}\:\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} =\mathrm{3ab}\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\: \\ $$$$\mathrm{log}\frac{\mathrm{a}+\mathrm{b}}{\:\sqrt{\mathrm{5}}}=\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{log}{a}+\mathrm{log}{b}\right) \\ $$$$ \\ $$ Answered by ridwan balatif last updated on…
Question Number 141133 by mnjuly1970 last updated on 16/May/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{I}}:=\int_{\mathrm{0}} ^{\:\infty} \frac{\left({x}^{{n}} −\mathrm{1}\right)\left({x}−\mathrm{1}\right)}{{x}^{{n}+\mathrm{3}} −\mathrm{1}}{dx}=?? \\ $$$$ \\ $$ Answered by mathmax by abdo…