Question Number 197196 by sonukgindia last updated on 10/Sep/23 Answered by mahdipoor last updated on 10/Sep/23 $${blue}\equiv \\ $$$$\pi{r}^{\mathrm{2}} \left(\frac{\alpha_{\mathrm{1}} }{\mathrm{360}}+\frac{\alpha_{\mathrm{2}} }{\mathrm{360}}+\frac{\alpha_{\mathrm{3}} }{\mathrm{360}}…+\frac{\alpha_{{n}} }{\mathrm{360}}\right) \\…
Question Number 197194 by sonukgindia last updated on 10/Sep/23 Answered by witcher3 last updated on 10/Sep/23 $$\mathrm{k}^{\mathrm{1}−\mathrm{n}} +\left(\mathrm{k}+\mathrm{1}\right)^{\mathrm{1}−\mathrm{n}} =\frac{\left(\mathrm{1}+\mathrm{k}\right)^{\mathrm{n}−\mathrm{1}} +\mathrm{k}^{\mathrm{n}−\mathrm{1}} }{\left(\mathrm{k}\left(\mathrm{1}+\mathrm{k}\right)\right)^{\mathrm{n}−\mathrm{1}} } \\ $$$$\Leftrightarrow\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{50}}…
Question Number 197188 by sonukgindia last updated on 10/Sep/23 Answered by witcher3 last updated on 10/Sep/23 $$\mathrm{I}=\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{ln}\left(−\mathrm{x}\right)\left(\pi−\mathrm{arcos}\left(\mathrm{x}\right)\right)\mathrm{dx}+\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{ln}\left(\mathrm{x}\right)\mathrm{arccos}\left(\mathrm{x}\right)\mathrm{dx} \\ $$$$=\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{arccos}\left(\mathrm{x}\right)\left(−\mathrm{ln}\left(−\mathrm{x}\right)+\mathrm{ln}\left(\mathrm{x}\right)\right)+\pi\int_{\mathrm{0}}…
Question Number 197169 by SANOGO last updated on 09/Sep/23 $$\mathrm{7}{x}+\mathrm{4}{y}=\mathrm{2} \\ $$ Answered by AST last updated on 09/Sep/23 $$\left(\mathrm{2},−\mathrm{3}\right)\:{works}\Rightarrow\left(\mathrm{2}+\mathrm{4}{k},−\mathrm{3}−\mathrm{7}{k}\right)\:{works} \\ $$ Answered by Frix…
Question Number 197155 by otchereabdullai@gmail.com last updated on 09/Sep/23 $$\:{A}\:{bullet}\:{of}\:{mass}\:\mathrm{180}{g}\:{is}\:{fired}\: \\ $$$$\:{horizontally}\:{into}\:{a}\:{fixed}\:{wooden}\: \\ $$$$\:{block}\:{with}\:{a}\:{speed}\:{of}\:\mathrm{24}{m}/{s}.\:{if}\:{the}\: \\ $$$${bullet}\:{is}\:{brought}\:{to}\:{rest}\:{in}\:\mathrm{0}.\mathrm{4}{sec}\:{by}\:{a} \\ $$$${constant}\:{resistance},\:{calculate}\:{the} \\ $$$${distance}\:{moved}\:{by}\:{the}\:{bullet}\:{in}\:{the} \\ $$$${wood} \\ $$ Answered…
Question Number 197112 by sonukgindia last updated on 08/Sep/23 Answered by AST last updated on 08/Sep/23 $$\mathrm{2}{x}=\mathrm{1135}−{y}\Rightarrow\mathrm{2}{y}+\mathrm{4}{z}=\mathrm{890}\Rightarrow{y}+\mathrm{2}{z}=\mathrm{445} \\ $$$${x}=\mathrm{345}+{z},{y}=\mathrm{445}−\mathrm{2}{z},{z}={z} \\ $$$$\Rightarrow{No}\:{unique}\:{solutions} \\ $$ Commented by…
Question Number 197146 by hardmath last updated on 08/Sep/23 $$\mathrm{Find}:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{Li}\left(\mathrm{x}\right)}{\Psi\left(\mathrm{x}\right)}\:\mathrm{dx}\:=\:? \\ $$ Answered by Blackpanther last updated on 09/Sep/23 $$\mathrm{0}.\mathrm{7823} \\ $$ Terms…
Question Number 197147 by sonukgindia last updated on 08/Sep/23 Answered by Frix last updated on 10/Sep/23 $$\mathrm{Obviously}\:{x}=\mathrm{1}\vee{x}=\frac{\pi}{\mathrm{2}}\vee{x}=\frac{\mathrm{5}\pi}{\mathrm{2}}\:\mathrm{because} \\ $$$$\mathrm{ln}\:\mathrm{1}\:=\mathrm{0}\:\mathrm{and}\:\mathrm{sin}\:\frac{\pi}{\mathrm{2}}\:=\mathrm{1} \\ $$ Commented by sonukgindia last…
Question Number 197133 by sonukgindia last updated on 08/Sep/23 Answered by Frix last updated on 08/Sep/23 $$\mathrm{361} \\ $$ Commented by sonukgindia last updated on…
Question Number 197129 by sonukgindia last updated on 08/Sep/23 Answered by Frix last updated on 09/Sep/23 $$\mathrm{This}\:\mathrm{just}\:\mathrm{comes}\:\mathrm{from}\:\mathrm{my}\:\mathrm{experience}\:\mathrm{with} \\ $$$$\mathrm{trigonometric}\:\mathrm{functions}.\:\mathrm{I}'\mathrm{m}\:\mathrm{not}\:\mathrm{good}\:\mathrm{at} \\ $$$$\mathrm{solving}\:\mathrm{differential}\:\mathrm{equations}. \\ $$$${f}\left({x}\right)=\mathrm{tan}\:{x} \\ $$$$\Rightarrow…