Question Number 20953 by tawa tawa last updated on 09/Sep/17 Commented by Tinkutara last updated on 09/Sep/17 $$\mid\mathrm{BG}\mid=\sqrt{\mathrm{l}^{\mathrm{2}} +\mathrm{w}^{\mathrm{2}} +\mathrm{h}^{\mathrm{2}} } \\ $$ Commented by…
Question Number 152026 by alcohol last updated on 25/Aug/21 Commented by mr W last updated on 25/Aug/21 $${one} \\ $$ Terms of Service Privacy Policy…
Question Number 86486 by jagoll last updated on 29/Mar/20 $$\mathrm{If}\:\mathrm{sin}\:\mathrm{x}\:+\:\mathrm{cos}\:\mathrm{x}\:=\:\frac{\mathrm{2}}{\mathrm{3}} \\ $$$$\mathrm{find}\:\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{x}}\:+\:\frac{\mathrm{1}}{\mathrm{cos}\:\mathrm{x}}\:=\:? \\ $$ Commented by john santu last updated on 29/Mar/20 $$\Rightarrow\:\frac{\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}{\mathrm{sin}\:\mathrm{x}\:\mathrm{cos}\:\mathrm{x}}\:=\:\left(\mathrm{i}\right) \\ $$$$\Rightarrow\:\left(\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}\right)^{\mathrm{2}}…
Question Number 86484 by Ar Brandon last updated on 28/Mar/20 $$\int\frac{{x}^{\mathrm{6}} }{\mathrm{1}+{x}^{\mathrm{12}} }{dx} \\ $$ Commented by Ar Brandon last updated on 29/Mar/20 Hi mathmax, I don't understand the second line of your solution. How did you do that ? Commented…
Question Number 152019 by mathdanisur last updated on 25/Aug/21 $$\Omega\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:{Li}_{\mathrm{2}} \left({x}\right)\:{log}\left(\mathrm{1}+{x}\right)\:{dx}\:=\:? \\ $$$${Li}_{\mathrm{2}} \left({x}\right)−{polylogaritm}\:{function} \\ $$ Answered by mnjuly1970 last updated on 25/Aug/21…
Question Number 86480 by M±th+et£s last updated on 28/Mar/20 $$\int_{\mathrm{0}} ^{\infty} \left({x}\:{e}^{\mathrm{1}−{x}} \:−\lfloor{x}\rfloor{e}^{\mathrm{1}−\lfloor{x}\rfloor} \right){dx} \\ $$ Commented by abdomathmax last updated on 28/Mar/20 $${I}\:=\int_{\mathrm{0}} ^{\infty}…
Question Number 20944 by tawa tawa last updated on 08/Sep/17 Answered by dioph last updated on 09/Sep/17 Commented by dioph last updated on 09/Sep/17 $${r}\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\:=\:\mathrm{7}\sqrt{\mathrm{3}}\:\Rightarrow\:{r}\:=\:\mathrm{14}\:\mathrm{cm}…
Question Number 86479 by Rio Michael last updated on 28/Mar/20 $$\mathrm{a}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{droped}\:\mathrm{from}\:\mathrm{a}\:\mathrm{height}\:\mathrm{20}\:\mathrm{m}.\:\mathrm{Given}\:\mathrm{that}\:\mathrm{it} \\ $$$$\mathrm{rebounce}\:\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{that}\:\mathrm{which}\:\mathrm{it}\:\mathrm{hit}\:\mathrm{the}\:\mathrm{ground} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{time}\:\mathrm{interval}\:\mathrm{between}\:\mathrm{the}\:\mathrm{first}\:\mathrm{and}\:\mathrm{second}\:\mathrm{rebounce}. \\ $$ Answered by mr W last updated on 29/Mar/20…
Question Number 86476 by DuDono last updated on 28/Mar/20 $$\mathrm{show}\:\mathrm{that} \\ $$$$\mathrm{sin}^{−\mathrm{1}} \alpha=−{i}\:\mathrm{ln}\:\left(\alpha\pm\sqrt{\alpha^{\mathrm{2}} −\mathrm{1}}\right)−\frac{\pi}{\mathrm{2}} \\ $$ Commented by MJS last updated on 28/Mar/20 $$\mathrm{the}\:\mathrm{path}\:\mathrm{is}\:\mathrm{this}: \\…
Question Number 20939 by Hitler last updated on 08/Sep/17 $$\mathrm{Demostration}\:\mathrm{of}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{an}\:\mathrm{sphere}\:\mathrm{V}=\frac{\mathrm{4}\pi\mathrm{r}^{\mathrm{3}} }{\mathrm{3}} \\ $$$$\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} =\mathrm{r}^{\mathrm{2}} \:\mathrm{We}\:\mathrm{divide}\:\mathrm{the}\:\mathrm{sphere}\:\mathrm{in}\:\mathrm{8}\:\mathrm{parts}.\:\mathrm{So}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{a}\:\mathrm{part}\:\mathrm{is} \\ $$$$\int_{\mathrm{0}} ^{\:\mathrm{r}} \int_{\mathrm{0}} ^{\:\sqrt{\mathrm{r}^{\mathrm{2}} −\mathrm{x}^{\mathrm{2}} }} \sqrt{\mathrm{r}^{\mathrm{2}}…