Question Number 178682 by MikeH last updated on 20/Oct/22 $$\mathrm{Corona}\:\mathrm{virus}\:\left(\mathrm{covid}\:−\mathrm{19}\right)\:\mathrm{is}\:\mathrm{spreading}\:\mathrm{through}\:\mathrm{a} \\ $$$$\mathrm{certain}\:\mathrm{country}.\:\mathrm{Let}\:\mathrm{the}\:\mathrm{constant}\:{S}\:\mathrm{be}\:\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{of}\:\mathrm{people}\:\mathrm{susceptible}\:\mathrm{to}\:\mathrm{infection}.\:\:\mathrm{The}\:\mathrm{infection}\:\mathrm{rate} \\ $$$$\mathrm{is}\:\mathrm{proportional}\:\mathrm{to}\:\mathrm{the}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{the}\:\mathrm{already} \\ $$$$\mathrm{infected}\:\mathrm{people}\:\left({x}\right)\:\mathrm{and}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{susceptible}\:\mathrm{but}\: \\ $$$$\mathrm{but}\:\mathrm{uninfected}\:\mathrm{people}\:\left({S}−{x}\right).\:\mathrm{establish}\:\mathrm{the}\: \\ $$$$\mathrm{differential}\:\mathrm{equation}. \\ $$ Terms…
Question Number 47559 by ajfour last updated on 11/Nov/18 Commented by ajfour last updated on 11/Nov/18 $${Q}.\mathrm{47519}\:\:\left({Solution}\:{attempted}\right) \\ $$ Answered by ajfour last updated on…
Question Number 47532 by 143jesus last updated on 11/Nov/18 $$\sqrt{\mathrm{400}^{\mathrm{2}} +\mathrm{100}^{\mathrm{2}=} } \\ $$ Answered by Joel578 last updated on 11/Nov/18 $$=\:\sqrt{\mathrm{160000}\:+\:\mathrm{10000}}\:=\:\sqrt{\mathrm{170000}}\:=\:\mathrm{100}\sqrt{\mathrm{17}}\:\approx\:\mathrm{412}.\mathrm{31} \\ $$ Answered…
Question Number 47519 by ajfour last updated on 11/Nov/18 Commented by ajfour last updated on 11/Nov/18 $${Find}\:{minimum}\:{area}\:{of}\:\bigtriangleup{ABC} \\ $$$${in}\:{terms}\:{of}\:{ellipse}\:{parameters} \\ $$$${a}\:{and}\:{b}. \\ $$ Answered by…
Question Number 47432 by Necxx last updated on 09/Nov/18 $$ \\ $$$${what}\:{is}\:{the}\:{nth}\:{derivative}\:{of} \\ $$$${e}^{{ax}} \mathrm{sin}\:\left({bx}+{c}\right)? \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 47425 by ajfour last updated on 09/Nov/18 Commented by ajfour last updated on 09/Nov/18 $${Find}\:{b}\:{if}\:{a}=\mathrm{1}\:{and}\:\bigtriangleup{ABC}\:{has} \\ $$$${minimum}\:{area}. \\ $$ Answered by mr W…
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Question Number 112740 by Mr.D.N. last updated on 09/Sep/20 $$\:\mathrm{Solve}\:\mathrm{differential}\:\mathrm{equation}\:\mathrm{the}\:\mathrm{method}\:\mathrm{of} \\ $$$$\:\mathrm{variation}\:\mathrm{of}\:\mathrm{parameters}: \\ $$$$\:\:\frac{\boldsymbol{\mathrm{d}}^{\mathrm{2}} \boldsymbol{\mathrm{y}}}{\boldsymbol{\mathrm{dx}}^{\mathrm{2}} }\:+\mathrm{4}\boldsymbol{\mathrm{y}}\:=\mathrm{4}\:\boldsymbol{\mathrm{cosec}}\:\mathrm{2}\boldsymbol{\mathrm{x}}\: \\ $$ Answered by mathmax by abdo last updated…
Question Number 112720 by deepak@7237 last updated on 09/Sep/20 $$\boldsymbol{\mathrm{Q}}.\:\boldsymbol{{y}}\:=\:\left(\boldsymbol{{x}\mathrm{cos}{x}}\right)^{\boldsymbol{{x}}} +\:\left(\boldsymbol{{x}\mathrm{sin}{x}}\right)^{\frac{\mathrm{1}}{\boldsymbol{{x}}}} \:\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{find}}\:\:\frac{\boldsymbol{{dy}}}{\boldsymbol{{dx}}} \\ $$ Answered by deepak@7237 last updated on 09/Sep/20 Answered by 1549442205PVT last…
Question Number 112714 by deepak@7237 last updated on 09/Sep/20 $$\boldsymbol{\mathrm{Q}}.\:\:\boldsymbol{{y}}\:=\:\boldsymbol{\mathrm{sin}}^{−\mathrm{1}} \left(\frac{\boldsymbol{{a}}\:+\:\boldsymbol{{b}\mathrm{cos}{x}}}{\boldsymbol{{b}}\:+\:\boldsymbol{{a}\mathrm{cos}{x}}}\right)\:,\:\:\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{find}}\:\frac{\boldsymbol{{dy}}}{\boldsymbol{{dx}}} \\ $$ Answered by deepak@7237 last updated on 09/Sep/20 Commented by deepak@7237 last updated…