Question Number 210782 by Ismoiljon_008 last updated on 19/Aug/24 $$ \\ $$$$\:\:\:\mathscr{H}{ow}\:{to}\:{make}\:\mathrm{4}\:{out}\:{of}\:{four}\:\:\mathrm{0}'{s}\:? \\ $$$$\:\:\:\mathscr{HELP}\:\mathscr{PLEASE} \\ $$$$ \\ $$ Commented by mr W last updated on…
Question Number 210840 by hardmath last updated on 19/Aug/24 $$ \\ $$Prove that if x, y are rational numbers satisfying the equation x^5 + y^5…
Question Number 210809 by mr W last updated on 19/Aug/24 Commented by mr W last updated on 19/Aug/24 $${can}\:{the}\:{boy}\:{lift}\:{himself}? \\ $$ Commented by Ghisom last…
Question Number 210842 by peter frank last updated on 20/Aug/24 Answered by mm1342 last updated on 20/Aug/24 $${AB}:{y}−\mathrm{2}{x}=\mathrm{1} \\ $$$${AC}:{y}−{x}=\mathrm{0} \\ $$$${BC}:−\mathrm{3}{y}+{x}=−\mathrm{4} \\ $$$$\Rightarrow{A}\left(−\mathrm{1},−\mathrm{1}\right)\:\&\:{B}\left(\frac{\mathrm{1}}{\mathrm{5}},\frac{\mathrm{7}}{\mathrm{5}}\right)\:\&\:{C}\left(\mathrm{2},\mathrm{2}\right)\Rightarrow{D}\left(\frac{\mathrm{11}}{\mathrm{10}},\frac{\mathrm{17}}{\mathrm{10}}\right) \\…
Question Number 210843 by peter frank last updated on 20/Aug/24 Answered by Spillover last updated on 20/Aug/24 $${let}\:{u},{v}\:{be}\:{a}\:{two}\:{unit}\:{vectors}\:{with}\:{direction} \\ $$$${cosine}\:\left({l}_{\mathrm{1}\:} ,{m}_{\mathrm{1}} ,{n}_{\mathrm{1}} \right)\:{and}\:\left({l}_{\mathrm{2}\:} ,{m}_{\mathrm{2}} ,{n}_{\mathrm{2}}…
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Question Number 210839 by klipto last updated on 19/Aug/24 $$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\int_{\mathrm{0}} ^{\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{xt}}} \boldsymbol{\mathrm{e}}^{−\mathrm{t}^{\mathrm{2}} } \boldsymbol{\mathrm{dt}}=\boldsymbol{\mathrm{e}}^{\frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} }{\mathrm{4}}} \underset{\mathrm{0}} {\int}^{\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{e}}^{−\frac{\boldsymbol{\mathrm{t}}^{\mathrm{2}} }{\mathrm{4}}} \\ $$$$ \\ $$ Commented…
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Question Number 210832 by BaliramKumar last updated on 19/Aug/24 $$ \\ $$If the probability of A solving a question is 1/2 and the probability of…
Question Number 210769 by zhou0429 last updated on 19/Aug/24 Commented by Frix last updated on 19/Aug/24 $$\int\frac{{dx}}{{x}^{{n}} +\mathrm{1}}={x}×_{\mathrm{2}} {F}_{\mathrm{1}} \:\left(\mathrm{1},\:\frac{\mathrm{1}}{{n}};\:\frac{{n}+\mathrm{1}}{{n}};\:−{x}^{{n}} \right)\:+{C} \\ $$ Terms of…