Question Number 216855 by BaliramKumar last updated on 23/Feb/25 Answered by AntonCWX08 last updated on 23/Feb/25 Commented by AntonCWX08 last updated on 23/Feb/25 $${s}=\frac{\mathrm{51}+\mathrm{36}+\mathrm{75}}{\mathrm{2}}=\mathrm{81} \\…
Question Number 216821 by BaliramKumar last updated on 22/Feb/25 Answered by AntonCWX08 last updated on 22/Feb/25 $${AE}×{BE}=\mathrm{25}×\mathrm{4}=\mathrm{100} \\ $$$${AE}×{BE}=\mathrm{100} \\ $$$$\mathrm{100} \\ $$$$=\mathrm{1}×\mathrm{100} \\ $$$$=\mathrm{2}×\mathrm{50}…
Question Number 216162 by Spillover last updated on 28/Jan/25 Answered by MrGaster last updated on 02/Feb/25 $$\mathrm{Let}\:{x}=\frac{\pi}{\mathrm{3}}−{t}\Rightarrow{dx}=−{dt} \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{3}}} \sqrt{\mathrm{sin}^{\mathrm{3}} {x}\mathrm{sin}\left(\frac{\pi}{\mathrm{3}}−{x}\right)}{dx}\int_{\frac{\pi}{\mathrm{3}}} ^{\mathrm{0}} \sqrt{\mathrm{sin}^{\mathrm{3}} \left(\frac{\pi}{\mathrm{3}}−{t}\right)\mathrm{sin}\:{t}}\left(−{dt}\right)=\int_{\mathrm{0}}…
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Question Number 212239 by Spillover last updated on 07/Oct/24 Answered by Ghisom last updated on 08/Oct/24 $$\int\frac{\mathrm{e}^{−{x}/\mathrm{2}} \sqrt{\mathrm{1}−\mathrm{sin}\:{x}}}{\mathrm{1}+\mathrm{cos}\:{x}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{tan}\:\frac{{x}}{\mathrm{2}}\right] \\ $$$$=\int\frac{\mathrm{e}^{−\mathrm{arctan}\:{t}} \left({t}−\mathrm{1}\right)}{\:\sqrt{{t}^{\mathrm{2}} +\mathrm{1}}}{dt}= \\…
Question Number 212209 by efronzo1 last updated on 06/Oct/24 $$\:\:\:\cancel{\underbrace{\gtrdot}}\: \\ $$ Answered by som(math1967) last updated on 06/Oct/24 $$\:{let}\:{no}\:{of}\:{solders}\:{in}\:{A},{B},{C}\:{are} \\ $$$${x},{y},{z} \\ $$$$\therefore\mathrm{37}{x}+\mathrm{23}{y}=\mathrm{29}{x}+\mathrm{29}{y} \\…
Question Number 211018 by peter frank last updated on 26/Aug/24 Commented by peter frank last updated on 27/Aug/24 $$\mathrm{thank}\:\mathrm{you}\:\mathrm{mr}\:\mathrm{frix} \\ $$ Answered by Frix last…
Question Number 208526 by Tawa11 last updated on 17/Jun/24 Commented by Tawa11 last updated on 17/Jun/24 $$\mathrm{Find}\:\:\mid\mathrm{SP}\mid \\ $$$$\mathrm{Is}\:\mathrm{this}\:\mathrm{question}\:\mathrm{correct}\:\mathrm{like}\:\mathrm{this}? \\ $$ Commented by Tawa11 last…
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Question Number 206808 by mustafazaheen last updated on 26/Apr/24 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{10}^{\mathrm{x}} −\mathrm{1}}{\mathrm{x}^{\mathrm{10}} } \\ $$ Answered by mr W last updated on 26/Apr/24 $$\mathrm{10}^{{x}} ={e}^{{x}\mathrm{ln}\:\mathrm{10}}…