Question Number 12610 by tawa last updated on 26/Apr/17 $$\mathrm{A}\:\mathrm{steam}\:\mathrm{engine}\:\mathrm{of}\:\mathrm{efficiency}\:\mathrm{50\%}\:\mathrm{burns}\:\mathrm{a}\:\mathrm{1g}\:\mathrm{of}\:\mathrm{coal}\:\mathrm{to}\:\mathrm{produce}\:\mathrm{10000J} \\ $$$$\mathrm{of}\:\mathrm{energy}.\:\mathrm{if}\:\mathrm{it}\:\mathrm{burns}\:\mathrm{20g}\:\mathrm{per}\:\mathrm{sec},\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{output}\:\mathrm{power}. \\ $$ Answered by mrW1 last updated on 27/Apr/17 $${P}=\mathrm{0}.\mathrm{5}×\mathrm{20}×\mathrm{10000}=\mathrm{100000}\:{Watt}=\mathrm{100}\:{kW} \\ $$ Commented…
Question Number 143677 by bobhans last updated on 17/Jun/21 Answered by bemath last updated on 17/Jun/21 Answered by mathmax by abdo last updated on 17/Jun/21…
Question Number 12605 by tawa last updated on 26/Apr/17 Answered by ajfour last updated on 26/Apr/17 $${let}\:{painter}\:{worked}\:{for}\:{N}\:{days}\:. \\ $$$$\mathrm{40}{N}+\mathrm{10}\left({N}−\mathrm{10}\right)=\mathrm{2000} \\ $$$$\mathrm{50}{N}=\mathrm{2100}\:\:\:\Rightarrow\:\:{N}=\mathrm{42} \\ $$$${assistant}\:{worked}\:{N}−\mathrm{10}\:=\mathrm{32}\:{days} \\ $$$${he}\:{received}\:=#\mathrm{320}\:.…
Question Number 12603 by ashok kumar last updated on 26/Apr/17 $${Q}.\:\mathrm{value}\:\mathrm{of}\:\:\theta\:=\:\mathrm{tan}\:\mathrm{3}/\mathrm{4}. \\ $$ Answered by mrW1 last updated on 26/Apr/17 $${what}\:{is}\:{the}\:{concrete}\:{question}? \\ $$$$ \\ $$$$\theta=\mathrm{tan}\:\mathrm{3}/\mathrm{4}=\mathrm{0}.\mathrm{931}…
Question Number 78136 by msup trace by abdo last updated on 14/Jan/20 $${give}\:{the}\:{equation}\:{of}\:{tangente} \\ $$$${at}\:\:{p}\left({x}_{\mathrm{0}} ,{f}\left({x}_{\mathrm{0}} \right)\right) \\ $$$$\left.\mathrm{1}\right){f}\left({x}\right)={e}^{−{x}^{\mathrm{2}} } {ln}\left(\mathrm{1}−\mathrm{2}{x}\right)\:\:\:{x}_{\mathrm{0}} =−\mathrm{1} \\ $$$$\left.\mathrm{2}\right){f}\left({x}\right)=\left({x}^{\mathrm{2}} −\mathrm{3}\right){arctan}\left({x}^{\mathrm{2}}…
Question Number 12601 by @ANTARES_VY last updated on 26/Apr/17 $$\boldsymbol{\mathrm{y}}=\frac{\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\mathrm{3}}+\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{5}\boldsymbol{\mathrm{x}}+\mathrm{7}\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{critical}}\:\:\boldsymbol{\mathrm{points}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}} \\ $$ Answered by mrW1 last updated on 26/Apr/17 $$\boldsymbol{\mathrm{y}}=\frac{\boldsymbol{\mathrm{x}}^{\mathrm{3}} }{\mathrm{3}}+\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}}…
Question Number 78134 by msup trace by abdo last updated on 14/Jan/20 $${find}\:{the}\:{value}\:{of}\:\:\int_{−\infty} ^{+\infty} \:\frac{{arctan}\left(\mathrm{3}{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} +\mathrm{4}}{dx} \\ $$ Commented by mathmax by abdo last…
Question Number 78135 by msup trace by abdo last updated on 14/Jan/20 $${explicit}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({xt}\right)}{{t}^{\mathrm{2}} +{x}^{\mathrm{2}} }{dt} \\ $$$${with}\:{x}>\mathrm{0} \\ $$ Terms of Service Privacy…
Question Number 143671 by lapache last updated on 16/Jun/21 Commented by justtry last updated on 17/Jun/21 Commented by justtry last updated on 17/Jun/21 Terms of…
Question Number 12596 by @ANTARES_VY last updated on 26/Apr/17 $$\boldsymbol{\mathrm{y}}=−\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{bx}}+\boldsymbol{\mathrm{c}}\:\:\:\:\:\:\boldsymbol{\mathrm{x}}=−\mathrm{1} \\ $$$$\boldsymbol{\mathrm{point}}\:\:\boldsymbol{\mathrm{function}}\:\:\boldsymbol{\mathrm{accepts}}\:\:\:\boldsymbol{\mathrm{a}}\:\:\boldsymbol{\mathrm{maximum}} \\ $$$$\boldsymbol{\mathrm{value}}\:\:\boldsymbol{\mathrm{equal}}\:\:\boldsymbol{\mathrm{to}}\:\:\mathrm{5}.\:\:\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{y}}\left(\mathrm{1}\right). \\ $$ Answered by ajfour last updated on 26/Apr/17 $${y}={c}−\left[\left({x}−\frac{{b}}{\mathrm{2}}\right)^{\mathrm{2}}…