Question Number 11740 by tawa last updated on 30/Mar/17 $$\mathrm{Metal}\:\mathrm{pellets}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{0}.\mathrm{1}\:\mathrm{kg}\:\mathrm{are}\:\mathrm{fired}\:\mathrm{into}\:\mathrm{an}\:\mathrm{iron}\:\mathrm{plate}\:\mathrm{of}\:\mathrm{large}\:\mathrm{mass}\:\mathrm{m} \\ $$$$\mathrm{and}\:\mathrm{specific}\:\mathrm{heat}\:\mathrm{capacity}\:\mathrm{c}\:\mathrm{at}\:\mathrm{a}\:\mathrm{temperature}\:\mathrm{of}\:\mathrm{15}°\mathrm{C}\:.\:\mathrm{25\%}\:\mathrm{of}\:\mathrm{the}\:\mathrm{kinetic} \\ $$$$\mathrm{energy}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pellets}\:\mathrm{is}\:\mathrm{converted}\:\mathrm{thermal}\:\mathrm{energy}\:\mathrm{and}\:\mathrm{the}\:\mathrm{plate}\:\mathrm{temperature} \\ $$$$\mathrm{rises}\:\mathrm{to}\:\mathrm{16}°\mathrm{C}.\:\mathrm{The}\:\mathrm{average}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pellets}\:\mathrm{before}\:\mathrm{hitting}\:\mathrm{the}\:\mathrm{plate}\:\mathrm{was}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77272 by jagoll last updated on 05/Jan/20 $$\mathrm{given}\:\mathrm{T}.\mathrm{ABCD}\:\mathrm{is}\:\mathrm{pyramid}\: \\ $$$$\mathrm{with}\:\mathrm{AB}\:=\:\mathrm{BC}\:=\:\mathrm{8}\:\mathrm{and}\:\mathrm{AT}\:=\:\mathrm{6} \\ $$$$\:.\:\mathrm{P}\:\mathrm{is}\:\mathrm{midpoint}\:\mathrm{BC},\:\mathrm{Q}\:\mathrm{is}\:\mathrm{midpoint}\:\mathrm{AT}. \\ $$$$\mathrm{If}\:\alpha\:\mathrm{is}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{TP}\:\mathrm{and} \\ $$$$\mathrm{PQ}\:\mathrm{then}\:\mathrm{cos}\:\alpha\:\mathrm{is}\:… \\ $$ Commented by john santu last…
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Question Number 77271 by jagoll last updated on 05/Jan/20 $$\mathrm{given}\:\mathrm{the}\:\mathrm{function} \\ $$$$\mathrm{y}\:=\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}.\:\mathrm{The}\:\mathrm{tangent}\:\mathrm{equation} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{curve}\:\mathrm{with}\:\mathrm{the}\:\mathrm{smallest}\: \\ $$$$\mathrm{gradient}\:\mathrm{is}\:.. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 77269 by john santu last updated on 05/Jan/20 $${what}\:{is}\:\int\:\frac{\mathrm{1}}{\mathrm{tan}\:^{\mathrm{3}} \left({x}^{\mathrm{2}} −\mathrm{1}\right)}\:{dx}\:? \\ $$ Commented by MJS last updated on 05/Jan/20 $$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{this}\:\mathrm{can}\:\mathrm{be}\:\mathrm{solved}\:\mathrm{at}\:\mathrm{all} \\ $$…
Question Number 11732 by agni5 last updated on 30/Mar/17 $$\mathrm{0}.\mathrm{16}\:\boldsymbol{\div}\:\frac{\mathrm{2}}{\mathrm{3}}\:\mathrm{of}\:\frac{\mathrm{2}}{\mathrm{5}}\:\boldsymbol{\div}\:\frac{\mathrm{1}}{\mathrm{8}} \\ $$ Answered by ajfour last updated on 30/Mar/17 $$\mathrm{8} \\ $$ Terms of Service…
Question Number 142802 by Gbenga last updated on 05/Jun/21 $${x}=\mathrm{2}{w}\left({e}^{−\mathrm{1}} \right) \\ $$ Commented by Dwaipayan Shikari last updated on 06/Jun/21 $${W}\left({x}\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−{n}\right)^{{n}−\mathrm{1}} }{{n}!}{x}^{{n}}…
Question Number 142794 by EDWIN88 last updated on 05/Jun/21 $$\mathrm{If}\:\mathrm{2cos}\:\left(\frac{\mathrm{5}\pi}{\mathrm{4}}+\mathrm{3x}\right)\mathrm{cos}\:\left(\frac{\pi}{\mathrm{4}}+\mathrm{3x}\right)=\mathrm{0}\:\mathrm{and}\: \\ $$$$\mathrm{sin}\:\left(\mathrm{2x}−\mathrm{2y}\right)=\mathrm{cos}\:\mathrm{y}\:\mathrm{where}\:\frac{\pi}{\mathrm{4}}\leqslant\mathrm{x}\leqslant\frac{\pi}{\mathrm{2}}\:\mathrm{and} \\ $$$$\frac{\pi}{\mathrm{4}}\leqslant\mathrm{y}\leqslant\frac{\pi}{\mathrm{2}}\:.\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\begin{cases}{\mathrm{sin}\:\left(\mathrm{2x}+\mathrm{y}\right)}\\{\mathrm{cos}\:\left(\mathrm{2x}+\mathrm{y}\right)}\\{\mathrm{cos}\:\left(\mathrm{2x}−\mathrm{y}\right)}\\{\mathrm{sin}\:\left(\mathrm{2x}−\mathrm{y}\right)}\end{cases} \\ $$ Answered by Rasheed.Sindhi last updated on 05/Jun/21 $$\mathrm{2cos}\:\left(\frac{\mathrm{5}\pi}{\mathrm{4}}+\mathrm{3x}\right)\mathrm{cos}\:\left(\frac{\pi}{\mathrm{4}}+\mathrm{3x}\right)=\mathrm{0} \\…
Question Number 142789 by daniel1301 last updated on 05/Jun/21 $$\int{e}^{\frac{{x}^{\mathrm{2}} }{\mathrm{2}}} \:{dx}\:=\:?? \\ $$ Answered by MJS_new last updated on 05/Jun/21 $$\int\mathrm{e}^{\frac{{x}^{\mathrm{2}} }{\mathrm{2}}} {dx}= \\…
Question Number 142788 by mohammad17 last updated on 05/Jun/21 Answered by qaz last updated on 05/Jun/21 $$\frac{\partial\mathrm{w}}{\partial\mathrm{u}}=\frac{\partial\mathrm{w}}{\partial\mathrm{x}}\centerdot\frac{\partial\mathrm{x}}{\partial\mathrm{u}}+\frac{\partial\mathrm{w}}{\partial\mathrm{y}}\centerdot\frac{\partial\mathrm{y}}{\partial\mathrm{u}}+\frac{\partial\mathrm{w}}{\partial\mathrm{z}}\centerdot\frac{\partial\mathrm{z}}{\partial\mathrm{u}} \\ $$$$\:\:\:\:\:\:\:=\mathrm{3yze}^{\mathrm{xyz}} +\mathrm{3xze}^{\mathrm{xyz}} +\mathrm{3xye}^{\mathrm{xyz}} \centerdot\mathrm{2v}^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:=\mathrm{3e}^{\mathrm{xyz}} \left(\mathrm{yz}+\mathrm{xz}+\mathrm{2xyv}^{\mathrm{2}}…