Question Number 68209 by peter frank last updated on 07/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 2672 by Yozzi last updated on 24/Nov/15 $${I}\:{have}\:\mathrm{4}\:{collinear}\:{points}\:{A}\left({a},\mathrm{0}\right), \\ $$$${B}\left({b},\mathrm{0}\right),\:{C}\left({c},\mathrm{0}\right)\:{and}\:{D}\left({d},\mathrm{0}\right)\:{where}\: \\ $$$$\forall{a},{b},{c},{d}>\mathrm{0}.\:{Find}\:{a}\:{point}\:{E}\left({x},{y}\right)\:{such} \\ $$$${that}\:{the}\:{following}\:{expression}\:{is} \\ $$$${minimised}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\left({AE}+{BE}+{CE}+{DE}\right). \\ $$ Commented by Rasheed…
Question Number 68206 by turbo msup by abdo last updated on 07/Sep/19 $${find}\:{S}\left(\theta\right)=\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{{sin}^{\mathrm{3}} \left({n}\theta\right)}{{n}!} \\ $$ Answered by Smail last updated on 07/Sep/19…
Question Number 68207 by mr W last updated on 07/Sep/19 $${solve}\:{for}\:{x}\in\mathbb{C} \\ $$$$\mathrm{sin}\:{x}={z}\:\:\:\left({z}={a}+{bi}={re}^{{i}\theta} \right) \\ $$ Commented by mathmax by abdo last updated on 07/Sep/19…
Question Number 68203 by peter frank last updated on 07/Sep/19 Commented by Cmr 237 last updated on 07/Sep/19 $$\eth\mathrm{f}=\frac{\eth\mathrm{f}}{\eth\mathrm{x}}+\frac{\eth\mathrm{f}}{\eth\mathrm{y}}+\frac{\eth\mathrm{f}}{\eth\mathrm{z}} \\ $$$$\:\:\:\:=\mathrm{2xy}+\mathrm{cosh}\left(\mathrm{yz}\right)+\mathrm{x}^{\mathrm{2}} +\mathrm{xzsinh}\left(\mathrm{yz}\right)+\mathrm{xysinh}\left(\mathrm{yz}\right) \\ $$ Commented…
Question Number 133738 by mathlove last updated on 23/Feb/21 Answered by Ar Brandon last updated on 24/Feb/21 $$\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{ln}\left(\mathrm{3x}+\mathrm{1}\right)}{\mathrm{2x}}=\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{3x}−\frac{\mathrm{9x}^{\mathrm{2}} }{\mathrm{2}}+\epsilon\left(\mathrm{x}\right)}{\mathrm{2x}}=\frac{\mathrm{3}}{\mathrm{2}} \\ $$ Commented by…
Question Number 133734 by Abdoulaye last updated on 23/Feb/21 $${how}\:{do}\:{we}\:{caculate}\:\int{ln}\left({tanx}\right){dx}\:? \\ $$ Answered by mathmax by abdo last updated on 24/Feb/21 $$\mathrm{f}\left(\mathrm{x}\right)=\int_{\frac{\pi}{\mathrm{4}}} ^{\mathrm{x}} \mathrm{ln}\left(\mathrm{tanx}\right)\mathrm{dx}\:\Rightarrow\mathrm{f}\left(\mathrm{x}\right)=_{\mathrm{tanx}=\mathrm{t}} \:\:\:\int_{\mathrm{1}}…
Question Number 133730 by mr W last updated on 24/Feb/21 Commented by mr W last updated on 23/Feb/21 $${as}\:{Q}\mathrm{133275},\:{but}\:{with}\:{coefficient}\:{of} \\ $$$${restitution}\:\boldsymbol{{e}}\:{for}\:{the}\:{impacts}. \\ $$ Commented by…
Question Number 133725 by Ar Brandon last updated on 23/Feb/21 Commented by Ar Brandon last updated on 23/Feb/21 01:15 AM in India, and 24th February…
Question Number 2655 by Yozzi last updated on 24/Nov/15 $${Prove}\:{by}\:{contradiction}\:{that}\:{there} \\ $$$${are}\:{no}\:{whole}\:{number}\:{solutions}\:\left({x},{y},{z}\right) \\ $$$${to}\:{the}\:{equation}\:{z}^{\mathrm{2}} ={x}^{\mathrm{2}} +{y}^{\mathrm{2}} \\ $$$${where}\:{both}\:{x}\:{and}\:{y}\:{are}\:{odd}. \\ $$ Answered by prakash jain last…