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 $${This}\:{is}\:{indeterminate}\:{I}\:{think}\:{since}\:{f}\left({x}\right)=\mathrm{0} \\ $$$${satisfies}\:{both}\:{f}\left({x}\right)=−{f}\left({x}\right)=\mathrm{0} \\ $$$${and}\:{f}\left(−{x}\right)=\mathrm{0}={f}\left({x}\right). \\…
Question Number 135976 by I want to learn more last updated on 17/Mar/21 Answered by mr W last updated on 17/Mar/21 $$\frac{{x}}{\mathrm{sin}\:\mathrm{90}°}=\frac{\mathrm{2}}{\mathrm{sin}\:\angle{ADC}}\:\:\:\:…\left({i}\right) \\ $$$$\frac{\mathrm{sin}\:\mathrm{30}°}{\mathrm{3}}=\frac{\mathrm{sin}\:\angle{BDC}}{{y}}\:\:\:…\left({ii}\right) \\…
Question Number 4897 by 123456 last updated on 19/Mar/16 $${f}\left({x}\right)=\mathrm{10sin}\:{x} \\ $$$${g}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{1} \\ $$$${h}\left({x}\right)=\mathrm{3}{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1} \\ $$$${h}\left({g}\left({f}\left({x}\right)\right)\right)=\mathrm{0} \\ $$$${x}=??? \\ $$ Commented by prakash…
Question Number 4889 by 123456 last updated on 19/Mar/16 $${f}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{3} \\ $$$${g}\left({x}\right)=\mathrm{2}{x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{1} \\ $$$${h}\left({x}\right)={x}^{\mathrm{2}} +\mathrm{10}{x}−\mathrm{7} \\ $$$${f}\left({g}\left({h}\left({x}\right)\right)\right)=\mathrm{0},{x}=? \\ $$ Answered by Yozzii last…
Question Number 4883 by 123456 last updated on 19/Mar/16 $${f}\left({x}\right)=\begin{cases}{{x}}&{{x}<\mathrm{0}}\\{{xf}\left({x}−\mathrm{1}\right)+\mathrm{1}}&{{x}\geqslant\mathrm{0}}\end{cases} \\ $$$$\underset{−\mathrm{5}} {\overset{\mathrm{5}} {\int}}{f}\left({x}\right){dx}=? \\ $$ Commented by prakash jain last updated on 19/Mar/16 $$\mathrm{0}\leqslant{x}<\mathrm{1}\:\Rightarrow\left({x}−\mathrm{1}\right)<\mathrm{0}…
Question Number 70397 by ketto2 last updated on 04/Oct/19 Commented by Prithwish sen last updated on 04/Oct/19 $$\boldsymbol{\mathrm{Loss}}\:=\:\mathrm{250000}×\frac{\mathrm{5}}{\mathrm{100}}\:=\:\mathrm{12500}\bar {/}\bar {-} \\ $$ Terms of Service…
Question Number 4851 by sanusihammed last updated on 17/Mar/16 $${The}\:{distance}\:{moved}\:{by}\:{particle}\:{in}\:{the}\:{sixth}\:{and}\:{eight}\:{seconds} \\ $$$${of}\:{the}\:{motion}\:{are}\:\mathrm{45}{m}\:{and}\:\mathrm{53}{m}\:{repectively}. \\ $$$${Determine}\:{the}\:{acceleration}\:{and}\:{the}\:{initial}\:{speed}. \\ $$ Commented by prakash jain last updated on 18/Mar/16 $$\mathrm{Yes}.\:\mathrm{If}\:\mathrm{motion}\:\mathrm{in}\:\mathrm{a}\:\mathrm{straight}\:\mathrm{line}\:\mathrm{with}\:\mathrm{uniform}…
Question Number 4841 by awan last updated on 17/Mar/16 $$ \\ $$$${what}\:{mean}\:{for}\:{symbol}\:\Pi? \\ $$ Commented by 123456 last updated on 17/Mar/16 $$\underset{{i}=\mathrm{1}} {\overset{{n}} {\prod}}{x}_{{i}} ={x}_{\mathrm{1}}…