Question Number 27581 by Mcfaithal last updated on 10/Jan/18 $$\mathrm{If}\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}\right)=\int\left(\mathrm{4}\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} \right)\boldsymbol{\mathrm{dx}} \\ $$$$\mathrm{f}\left(\mathrm{3}\right)=\mathrm{22},\:\mathrm{find}\:{f}\left(\mathrm{x}\right) \\ $$ Answered by Joel578 last updated on 10/Jan/18 $${f}\left({x}\right)\:=\:\int\:\mathrm{4}{x}\:−\:{x}^{\mathrm{2}} \:{dx}\:=\:\mathrm{2}{x}^{\mathrm{2}} \:−\:\frac{\mathrm{1}}{\mathrm{3}}{x}^{\mathrm{3}}…
Question Number 27579 by Mcfaithal last updated on 10/Jan/18 $$\mathrm{A}\:\mathrm{circle}\:\mathrm{with}\:\mathrm{center}\:\left(−\mathrm{3},\mathrm{1}\right) \\ $$$$\mathrm{passes}\:\mathrm{through}\:\mathrm{the}\:\mathrm{point}\: \\ $$$$\left(\mathrm{3},\mathrm{1}\right).\:\mathrm{Find}\:\mathrm{it}'\mathrm{s}\:\mathrm{equation} \\ $$ Answered by Joel578 last updated on 10/Jan/18 $${r}\:=\:\mathrm{distance}\:\mathrm{between}\:\left(−\mathrm{3},\mathrm{1}\right)\:\mathrm{and}\:\left(\mathrm{3},\mathrm{1}\right) \\…
Question Number 27580 by Mcfaithal last updated on 10/Jan/18 $$\mathrm{Simplify}\:\frac{\mathrm{1}}{\mathrm{1}−\mathrm{cos}\:\mathrm{a}}\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{cos}\:\mathrm{a}} \\ $$$$\mathrm{and}\:\mathrm{leave}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{in}\:\mathrm{the}\: \\ $$$$\mathrm{form}\Rightarrow\:\:\:\mathrm{sin}\:\mathrm{a} \\ $$ Answered by Joel578 last updated on 10/Jan/18 $$\frac{\mathrm{1}}{\mathrm{1}\:−\:\mathrm{cos}\:{a}}\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{cos}\:{a}}\:=\:\frac{\left(\mathrm{1}\:+\:\mathrm{cos}\:{a}\right)\:+\:\left(\mathrm{1}\:−\:\mathrm{cos}\:{a}\right)}{\left(\mathrm{1}\:−\:\mathrm{cos}\:{a}\right)\left(\mathrm{1}\:+\:\mathrm{cos}\:{a}\right)} \\…
Question Number 27577 by Mcfaithal last updated on 10/Jan/18 $$\mathrm{find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{line}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{stationary}\:\mathrm{point}\: \\ $$$$\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{x}}^{\mathrm{2}} \left(\boldsymbol{\mathrm{x}}−\mathrm{3}\right)\: \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{them} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 27578 by Mcfaithal last updated on 10/Jan/18 $$\mathrm{if}\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{2x}−\mathrm{3}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\left(\mathrm{x}+\mathrm{2}\right)} \\ $$$$\mathrm{1}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{for}\:\mathrm{which}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{undefied}. \\ $$$$\mathrm{2}.\mathrm{Express}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{in}\:\mathrm{partial}\:\mathrm{fraction} \\ $$ Commented by abdo imad last updated on 10/Jan/18…
Question Number 27568 by MASANJA last updated on 09/Jan/18 $${carol}\:{is}\:\mathrm{6}\:{times}\:{as}\:{old}\:{as}\:{her}\:{nephew} \\ $$$${Hondo}.{Baby}\:{is}\:\mathrm{22}\:{years}\:{yonger}\:{than} \\ $$$${her}\:{aunt}\:{carol}.{In}\:{four}\:{years}\:{carol}'{s} \\ $$$${age}\:{will}\:{be}\:{twice}\:{the}\:{sum}\:{of}\:{Hondo}'{s} \\ $$$${and}\:{Baby}'{s}\:{age}.{How}\:{old}\:{is}\:{each}\:{perso} \\ $$$${n}\:{now}? \\ $$ Answered by Rasheed.Sindhi…
Question Number 27561 by *D¬ B£$T* last updated on 09/Jan/18 $${a}\:{penduum}\:{bob}\:{is}\:{operated}\:{by}\:{a}\: \\ $$$${thread}\:{of}\:{breadth}\:\mathrm{100}{cn}\:{and}\:{the} \\ $$$${bob}\:{is}\:{pulled}\:{aside}\:{untill}\:{the}\:{string} \\ $$$${makes}\:{an}\:{angle}\:{of}\:\mathrm{60}°.\:{calculate} \\ $$$$\left({i}\right){the}\:{velocity}\:{of}\:{the}\:{bob}\:{when} \\ $$$${the}\:{string}\:{is}\:{vertiv} \\ $$ Commented by…
Question Number 93091 by Maclaurin Stickker last updated on 10/May/20 $${Find}\:{the}\:{sum}: \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\mathrm{2020}} {\sum}}\mathrm{2}^{\mathrm{2}^{{n}} } \\ $$ Commented by MJS last updated on 11/May/20…
Question Number 27531 by sirigidiravikumar@gmail.com last updated on 08/Jan/18 $$\sqrt{\mathrm{1}−\mathrm{cos}\:\theta/\mathrm{1}+\mathrm{cos}\:\theta}=? \\ $$ Commented by Rasheed.Sindhi last updated on 08/Jan/18 $$\sqrt{\left(\mathrm{1}−\mathrm{cos}\:\theta\right)/\left(\mathrm{1}+\mathrm{cos}\:\theta\right)}=? \\ $$$$=\sqrt{\frac{\mathrm{1}−\mathrm{cos}\:\theta}{\mathrm{1}+\mathrm{cos}\:\theta}×\frac{\mathrm{1}−\mathrm{cos}\:\theta}{\mathrm{1}−\mathrm{cos}\:\theta}} \\ $$$$=\sqrt{\frac{\left(\mathrm{1}−\mathrm{cos}\:\theta\right)^{\mathrm{2}} }{\mathrm{1}−\mathrm{cos}^{\mathrm{2}}…
Question Number 93071 by Timmy Lee last updated on 10/May/20 Answered by prakash jain last updated on 10/May/20 $${x}−\:\mathrm{Number}\:\mathrm{of}\:\mathrm{adults}\:\mathrm{who}\:\mathrm{attended} \\ $$$${y}\:−\:\mathrm{Number}\:\mathrm{of}\:\mathrm{children}\:\mathrm{who}\:\mathrm{attended} \\ $$$$\mathrm{Given}\:\mathrm{that}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{people} \\ $$$$\mathrm{attended}=\mathrm{800}.…