Question Number 5117 by FilupSmith last updated on 14/Apr/16 $$\mathrm{I}\:\mathrm{have}\:\mathrm{a}\:\mathrm{question}.\:\mathrm{I}\:\mathrm{am}\:\mathrm{unsure}\:\mathrm{how}\:\mathrm{this} \\ $$$$\mathrm{is}\:\mathrm{done}\:\mathrm{because}\:\mathrm{I}\:\mathrm{have}\:\mathrm{never}\:\mathrm{learnt}\:\mathrm{it}. \\ $$$$ \\ $$$$\mathrm{How}\:\mathrm{do}\:\mathrm{you}\:\mathrm{determine}\:\mathrm{the}\:\mathrm{line}\:\mathrm{of}\:\mathrm{best}\:\mathrm{fit}? \\ $$ Commented by Yozzii last updated on 14/Apr/16…
Question Number 5090 by FilupSmith last updated on 11/Apr/16 $$\mathrm{This}\:\mathrm{is}\:\mathrm{a}\:\mathrm{silly}\:\mathrm{request},\:\mathrm{but}\:\mathrm{I}\:\mathrm{think}\:\mathrm{this} \\ $$$$\mathrm{app}\:\mathrm{should}\:\mathrm{have}\:\ddots\:\mathrm{but}\:\mathrm{the}\:\mathrm{other}\:\mathrm{direction}. \\ $$$$ \\ $$$$\mathrm{It}\:\mathrm{would}\:\mathrm{have}\:\mathrm{some}\:\mathrm{application}\:\mathrm{when} \\ $$$$\mathrm{writing}\:\mathrm{some}\:\mathrm{matricies}\:\mathrm{and}\:\mathrm{to}\:\mathrm{more}\:\mathrm{formally} \\ $$$$\mathrm{write}: \\ $$$${x}^{{x}^{…} } \:\:\:\:\:\:\mathrm{as}\:\:\:\:\:\:\:\:{x}^{{x}^{\ddots} }…
Question Number 136105 by I want to learn more last updated on 18/Mar/21 Commented by mr W last updated on 18/Mar/21 $${book}\:{is}\:{wrong}! \\ $$$${just}\:{think}:\:{can}\:{a}\:{man}\:{throw}\:{a}\:{stone} \\…
Question Number 136110 by physicstutes last updated on 18/Mar/21 $$\mathrm{An}\:\mathrm{engine}\:\mathrm{is}\:\mathrm{pumping}\:\mathrm{water}\:\mathrm{from}\:\mathrm{a}\:\mathrm{well}\:\mathrm{25m}\:\mathrm{deep}.\:\mathrm{It}\:\mathrm{discharges} \\ $$$$\mathrm{0}.\mathrm{4}\:\mathrm{m}^{\mathrm{3}} \:\mathrm{of}\:\mathrm{water}\:\mathrm{each}\:\mathrm{second}\:\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{12}\:\mathrm{ms}^{−\mathrm{1}} .\:\mathrm{Find}\:\mathrm{the}\: \\ $$$$\mathrm{power}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pump}\:\mathrm{given}\:\mathrm{that}\:\mathrm{the}\:\mathrm{density}\:\mathrm{of}\:\mathrm{water}\:\mathrm{is}\:\mathrm{1000}\:\mathrm{kg}\:\mathrm{m}^{−\mathrm{3}} . \\ $$$$\mathrm{take}\:\boldsymbol{\mathrm{g}}\:=\:\mathrm{10}\:\mathrm{ms}^{−\mathrm{2}} \\ $$ Commented by mr W…
Question Number 136104 by Dwaipayan Shikari last updated on 18/Mar/21 $$\frac{{cos}\left(\mathrm{1}+\sqrt{\frac{\mathrm{43}}{\mathrm{3}}}\right)\pi}{\mathrm{1}^{\mathrm{2}} }+\frac{{cos}\left(\mathrm{1}+\sqrt{\frac{\mathrm{43}}{\mathrm{3}}}\right)\mathrm{2}\pi}{\mathrm{2}^{\mathrm{2}} }+\frac{{cos}\left(\mathrm{1}+\sqrt{\frac{\mathrm{43}}{\mathrm{3}}}\right)\mathrm{3}\pi}{\mathrm{3}^{\mathrm{2}} }+…={a}\pi \\ $$$${Find}\:{a} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5013 by Rasheed Soomro last updated on 01/Apr/16 $${The}\:{sign}\:{for}\:“\:{is}\:{not}\:{congruent}\:{to}'' \\ $$$${is}\:{present}\:{on}\:{the}\:{keyboard}\:\left(\ncong\right). \\ $$$${But}\:{its}\:{opposite}\:“\:{is}\:{congruent}\:{to}'' \\ $$$${doesn}'{t}\:{exist}. \\ $$$${Although}\:{by}\:{adding}\:{two}\:{signs}\:'='\:{and}\:'\sim' \\ $$$${we}\:{can}\:{make}\:{the}\:{required}\:{sign}\:\left(\overset{\sim} {=}\right)\:{but} \\ $$$${I}\:{think}\:{it}\:{should}\:{be}\:{directly}\:{present}. \\…
Question Number 136070 by Dwaipayan Shikari last updated on 18/Mar/21 $$\frac{{sin}\left(\sqrt{\mathrm{2}}\right)}{\mathrm{1}^{\mathrm{3}} }+\frac{{sin}\left(\mathrm{2}\sqrt{\mathrm{2}}\right)}{\mathrm{2}^{\mathrm{3}} }+\frac{{sin}\left(\mathrm{3}\sqrt{\mathrm{2}}\right)}{\mathrm{3}^{\mathrm{3}} }+…=\frac{\pi^{{b}} +\mathrm{1}}{\:{a}\sqrt{{b}}}−\frac{\pi}{{b}} \\ $$$${Find}\:{a}−{b} \\ $$ Answered by mnjuly1970 last updated on…
Question Number 4962 by 123456 last updated on 27/Mar/16 $$\mathrm{is}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{proof}\:\mathrm{that} \\ $$$${f}\left({x}\right)={e}^{{cx}} \\ $$$$\mathrm{obey} \\ $$$${f}\left({x}+{y}\right)={f}\left({x}\right){f}\left({y}\right) \\ $$$$\mathrm{using} \\ $$$${e}^{{x}} =\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\frac{{x}^{{n}} }{{n}!} \\…
Question Number 4922 by 123456 last updated on 22/Mar/16 $$\begin{cases}{{x}\left(\rho,\theta,\psi\right)=\rho\:\mathrm{cos}\:\theta+\psi\:\mathrm{sin}\:\theta}\\{{y}\left(\rho,\theta,\psi\right)=\rho\:\mathrm{sin}\:\theta+\psi\:\mathrm{cos}\:\theta}\\{{z}\left(\rho,\theta,\psi\right)=\psi\:\mathrm{sin}\:\theta}\end{cases} \\ $$$$\boldsymbol{{r}}\left(\rho,\theta,\psi\right)={x}\left(\rho,\theta,\psi\right)\:\boldsymbol{{e}}_{{x}} +{y}\left(\rho,\theta,\psi\right)\:\boldsymbol{{e}}_{{y}} +{z}\left(\rho,\theta,\psi\right)\:\boldsymbol{{e}}_{{z}} \\ $$$$\frac{\partial\boldsymbol{{r}}}{\partial\rho}=? \\ $$$$\frac{\partial\boldsymbol{{r}}}{\partial\theta}=? \\ $$$$\frac{\partial\boldsymbol{{r}}}{\partial\psi}=? \\ $$ Commented by prakash…
Question Number 4905 by 123456 last updated on 20/Mar/16 $${f}\left({x}\right)=\mathrm{0}\:\mathrm{is}\:\mathrm{a}\:\mathrm{even}\:\mathrm{function}\:\mathrm{or}\:\mathrm{a}\:\mathrm{odd}\:\mathrm{function}? \\ $$ Commented by Yozzii last updated on 20/Mar/16 $${This}\:{is}\:{indeterminate}\:{I}\:{think}\:{since}\:{f}\left({x}\right)=\mathrm{0} \\ $$$${satisfies}\:{both}\:{f}\left({x}\right)=−{f}\left({x}\right)=\mathrm{0} \\ $$$${and}\:{f}\left(−{x}\right)=\mathrm{0}={f}\left({x}\right). \\…