Question Number 88352 by ajfour last updated on 10/Apr/20 Commented by ajfour last updated on 10/Apr/20 $${Eq}.\:{of}\:{ellipse}:\:\:\:\frac{{x}^{\mathrm{2}} }{\mathrm{25}}+\frac{{y}^{\mathrm{2}} }{\mathrm{9}}=\mathrm{1} \\ $$$${eq}.\:{of}\:{parabola}:\:\:{y}=\frac{\mathrm{6}{x}^{\mathrm{2}} }{\mathrm{25}}+\mathrm{3} \\ $$$${Find}\:{radius}\:{of}\:{shown}\:{circle}. \\…
Question Number 22813 by Tinkutara last updated on 22/Oct/17 $$\mathrm{The}\:\mathrm{nucleus}\:\mathrm{Fe}^{\mathrm{57}} \:\mathrm{emits}\:\mathrm{a}\:\gamma-\mathrm{ray}\:\mathrm{of}\:\mathrm{energy} \\ $$$$\mathrm{14}.\mathrm{4}\:\mathrm{keV}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{the}\:\mathrm{nucleus}\:\mathrm{is} \\ $$$$\mathrm{56}.\mathrm{935}\:\mathrm{u},\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{recoil}\:\mathrm{energy}\:\mathrm{of} \\ $$$$\mathrm{nucleus}. \\ $$ Answered by ajfour last updated on…
Question Number 88349 by ajfour last updated on 10/Apr/20 Commented by ajfour last updated on 10/Apr/20 $${If}\:{both}\:{circles}\:{have}\:{equal}\:{radius}, \\ $$$${and}\:{that}\:{they}\:{touch}\:{each}\:{other} \\ $$$${and}\:{line}\:{SP}\:\:{at}\:{the}\:{same}\:{point}\:{T}, \\ $$$${then}\:{determine}\:{the}\:{sector}\:\angle,\:\alpha. \\ $$…
Question Number 153877 by alisiao last updated on 11/Sep/21 Commented by alisiao last updated on 11/Sep/21 $$\boldsymbol{{prove}}\:\boldsymbol{{that}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 153873 by mnjuly1970 last updated on 11/Sep/21 $$ \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \frac{\:{x}}{\left(\mathrm{1}\:+{x}^{\:\mathrm{2}} \right)\:\left(\:{e}^{\:\mathrm{2}\pi{x}} −\:\mathrm{1}\right)}\:{dx}\:=\frac{\mathrm{2}\gamma−\:\mathrm{1}}{\mathrm{4}} \\ $$$$ \\ $$ Commented by qaz last updated…
Question Number 88339 by Rio Michael last updated on 10/Apr/20 $$\:\int\left(\:\sqrt{\mathrm{tan}\:{x}\:}\:+\:\sqrt{\mathrm{cot}\:{x}}\:\right){dx}\:=\:? \\ $$ Commented by jagoll last updated on 10/Apr/20 $$\sqrt{\mathrm{tan}\:\mathrm{x}}\:+\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{tan}\:\mathrm{x}}}\:=\:\frac{\mathrm{tan}\:\mathrm{x}+\mathrm{1}}{\:\sqrt{\mathrm{tan}\:\mathrm{x}}} \\ $$$$\sqrt{\mathrm{tan}\:\mathrm{x}}\:=\:\mathrm{t}\:,\:\mathrm{tan}\:\mathrm{x}\:=\:\mathrm{t}^{\mathrm{2}} \\ $$$$\mathrm{2sec}\:^{\mathrm{2}}…
Question Number 153875 by mnjuly1970 last updated on 11/Sep/21 $$ \\ $$$$\:\:\:\:\mathrm{Prove}\:\:\mathrm{that}.. \\ $$$$\:\:\: \\ $$$$\:\:\:\:\boldsymbol{\phi}\::\:=\int_{\:\mathrm{1}} ^{\:+\infty} \frac{\:{ln}\:\left({x}\:\right)}{\left(\:{x}^{\:\pi} \:−\mathrm{1}\:\right)\left(\:{ln}^{\:\mathrm{2}} \left({x}\right)\:+\mathrm{1}\:\right)^{\mathrm{2}} }{dx}=\:\frac{\pi^{\:\mathrm{2}} −\:\mathrm{8}}{\mathrm{16}}\:\:\:\:\:\:\:\:\:\blacksquare\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\: \\…
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Question Number 22797 by Tinkutara last updated on 22/Oct/17 $$\mathrm{He}^{+} \:\mathrm{in}\:\mathrm{ground}\:\mathrm{state}\:\mathrm{is}\:\mathrm{hit}\:\mathrm{by}\:\mathrm{photon} \\ $$$$\mathrm{thus}\:\mathrm{exciting}\:\mathrm{electron}\:\mathrm{to}\:\mathrm{second}\:\mathrm{excited} \\ $$$$\mathrm{state}.\:\mathrm{The}\:\mathrm{energy}\:\mathrm{absorbed}\:\mathrm{in}\:\mathrm{this} \\ $$$$\mathrm{process}\:\mathrm{is}\:\left(\mathrm{approx}\right) \\ $$$$\left(\mathrm{1}\right)\:\mathrm{2}.\mathrm{18}\:×\:\mathrm{10}^{−\mathrm{14}} \:\mathrm{J} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{7}.\mathrm{75}\:×\:\mathrm{10}^{−\mathrm{18}} \:\mathrm{J} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{4}.\mathrm{5}\:×\:\mathrm{10}^{−\mathrm{18}}…
Question Number 153870 by physicstutes last updated on 11/Sep/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{and}\:\mathrm{maximum}\:\mathrm{value} \\ $$$$\mathrm{of}\:\frac{\mathrm{5}}{{f}\left(\theta\right)+\mathrm{3}}\:\mathrm{where}\:{f}\left(\theta\right)=\mathrm{8cos}\:\theta−\mathrm{15}\:\mathrm{sin}\:\theta \\ $$ Commented by mr W last updated on 12/Sep/21 $${there}\:{are}\:{no}\:{minimum}\:{and}\:{no} \\ $$$${maximum}.\:{there}\:{are}\:{only}\:{local}\:…