Question Number 132102 by mr W last updated on 14/Feb/21 Commented bymr W last updated on 16/Feb/21 $${a}\:{ball}\:{is}\:{thrown}\:{from}\:{point}\:{A}\:{with} \\ $$ $${speed}\:\boldsymbol{{u}}\:{and}\:{strikes}\:{at}\:{a}\:{point}\:{B} \\ $$ $${on}\:{the}\:{semispherical}\:{surface}\:{with} \\…
Question Number 66562 by Rio Michael last updated on 17/Aug/19 $${given}\:{that}\:\:\mid{z}\:−\:\mathrm{i}\mid\:=\:\mid{z}\:−\:\mathrm{4}\:+\mathrm{3}\:\mathrm{i}\mid \\ $$$${sketch}\:{the}\:{locus}\:{of}\:\:{z} \\ $$$${find}\:{the}\:{catersian}\:{equation}\:{of}\:{this}\:{locus}. \\ $$ Commented by mathmax by abdo last updated on…
Question Number 132098 by rs4089 last updated on 11/Feb/21 Answered by Ar Brandon last updated on 11/Feb/21 $$\mathrm{S}_{\mathrm{n}} =\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\frac{\mathrm{n}}{\mathrm{n}^{\mathrm{2}} +\mathrm{kn}+\mathrm{k}^{\mathrm{2}} } \\ $$$$\underset{\mathrm{n}\rightarrow\infty}…
Question Number 66561 by Rio Michael last updated on 17/Aug/19 $${evaluate}\: \\ $$$$\:\:\int_{\mathrm{0}} ^{\mathrm{2}} \mid\:{x}+\:\mathrm{2}\mid\:{dx}. \\ $$ Commented by kaivan.ahmadi last updated on 17/Aug/19 $$\mathrm{0}<{x}<\mathrm{2}\Rightarrow{x}+\mathrm{2}>\mathrm{0}\Rightarrow\mid{x}+\mathrm{2}\mid={x}+\mathrm{2}…
Question Number 1024 by brahim last updated on 19/May/15 $$\mathrm{4}{x}+\mathrm{5}=\mathrm{6}−\mathrm{4}\left(\mathrm{1}−{x}\right) \\ $$ Answered by prakash jain last updated on 19/May/15 $$\mathrm{4}{x}+\mathrm{5}=\mathrm{6}−\mathrm{4}+\mathrm{4}{x} \\ $$$$\mathrm{Equation}\:\mathrm{has}\:\mathrm{no}\:\mathrm{solution}. \\ $$…
Question Number 1023 by 123456 last updated on 20/May/15 $$\phi_{{n}} :\mathbb{R}\rightarrow\mathbb{R} \\ $$$${n}\in\mathbb{N}^{\ast} \\ $$$$\phi_{{n}} ={t}^{{n}} \frac{{d}^{{n}} \phi}{{dt}^{{n}} } \\ $$$$\phi_{\mathrm{1}} \left({t}\right)=?,\phi_{\mathrm{1}} \left(\mathrm{1}\right)=+\mathrm{1} \\ $$$$\phi_{\mathrm{2}}…
Question Number 132089 by rs4089 last updated on 11/Feb/21 $$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\left({x}^{\mathrm{4}} −{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}} }{dx} \\ $$ Answered by Lordose last updated on 11/Feb/21 $$\Omega\:=\:\int_{\mathrm{0}}…
Question Number 1018 by prakash jain last updated on 15/May/15 $$\mathrm{Find} \\ $$$$\mathrm{tan}\:\theta+\mathrm{2tan}\:\mathrm{2}\theta+\mathrm{2}^{\mathrm{2}} \mathrm{tan}\:\mathrm{2}^{\mathrm{2}} \theta+…+\mathrm{2}^{{n}} \mathrm{tan}\:\mathrm{2}^{{n}} \theta \\ $$ Answered by prakash jain last updated…
Question Number 132091 by rs4089 last updated on 11/Feb/21 $${evaluate}\: \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{{da}.{db}.{dc}.{dd}.{df}}{\mathrm{1}−{abcdf}} \\ $$ Answered…
Question Number 132090 by rs4089 last updated on 11/Feb/21 $${evaluate}\:\int_{−\infty} ^{\infty} \frac{{cosx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Answered by Olaf last updated on 11/Feb/21 $$\Omega\:=\:\int_{−\infty} ^{+\infty}…