Question Number 53695 by gunawan last updated on 25/Jan/19 $$\mathrm{If}\:\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:{e}^{−{x}^{\mathrm{2}} } {dx}\:=\:\sqrt{\frac{\pi}{\mathrm{2}}}\:,\:\mathrm{then}\:\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:{e}^{−{ax}^{\mathrm{2}} } {dx}, \\ $$$${a}\:>\:\mathrm{0}\:\:\mathrm{is} \\ $$ Commented by Abdo…
Question Number 53693 by gunawan last updated on 25/Jan/19 $$\:\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\frac{{x}+\mathrm{sin}\:{x}}{\mathrm{1}+\mathrm{cos}\:{x}}\:{dx}\:= \\ $$ Commented by maxmathsup by imad last updated on 25/Jan/19 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 53556 by 0955083339 last updated on 23/Jan/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:{k}\:\mathrm{for}\:\mathrm{which}\:\mathrm{the} \\ $$$$\mathrm{system}\:\mathrm{of}\:\mathrm{linear}\:\mathrm{equations}\:\:{kx}+\mathrm{2}{y}=\mathrm{5}\: \\ $$$$\mathrm{and}\:\:\:\mathrm{3}{x}+{y}=\mathrm{1}\:\mathrm{has}\:\mathrm{zero}\:\mathrm{solutions}. \\ $$ Commented by Kunal12588 last updated on 23/Jan/19 $$\mathrm{3}{kx}+\mathrm{6}{y}=\mathrm{5} \\…
Question Number 53532 by gunawan last updated on 23/Jan/19 $$\mathrm{The}\:\mathrm{derivative}\:\mathrm{of}\:{F}\:\left({x}\right)=\underset{{x}^{\mathrm{2}} } {\overset{{x}^{\mathrm{3}} } {\int}}\:\frac{\mathrm{1}}{\mathrm{log}\:{t}}\:{dt} \\ $$$$\left({x}\:>\mathrm{0}\right)\:\mathrm{is} \\ $$ Commented by Abdo msup. last updated on…
Question Number 53522 by 0955083339 last updated on 22/Jan/19 $$\mathrm{Cost}\:\mathrm{of}\:\:\mathrm{2}\:\mathrm{pencils}\:\mathrm{and}\:\:\mathrm{3}\:\mathrm{erasers}\:\mathrm{is}\:\mathrm{Rs}.\mathrm{18}, \\ $$$$\mathrm{while}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{of}\:\:\mathrm{1}\:\:\mathrm{pencil}\:\mathrm{and}\:\:\mathrm{2}\:\mathrm{erasers} \\ $$$$\mathrm{is}\:\mathrm{Rs}.\:\mathrm{11}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{of}\:\mathrm{each}\:\mathrm{pencil}. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jan/19 $$\mathrm{2}{p}+\mathrm{3}{er}=\mathrm{18}×\mathrm{2} \\…
Question Number 53518 by 0955083339 last updated on 22/Jan/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\:\mathrm{3}.\overset{−} {\mathrm{2}}\:\:\mathrm{and}\:\:\mathrm{5}.\overset{−} {\mathrm{4}}\:\:. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jan/19 $$\mathrm{8}.\overset{−} {\mathrm{6}} \\ $$…
Question Number 53515 by 0955083339 last updated on 22/Jan/19 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{ten}\:\mathrm{odd}\:\mathrm{numbers} \\ $$$$\mathrm{and}\:\mathrm{eleven}\:\mathrm{even}\:\mathrm{numbers}? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jan/19 $${S}_{{odd}} =\mathrm{1}+\mathrm{3}+\mathrm{5}+…+\left[\mathrm{1}+\left(\mathrm{10}−\mathrm{1}\right)\mathrm{2}\right] \\ $$$${S}_{{odd}}…
Question Number 53514 by 0955083339 last updated on 22/Jan/19 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{ten}\:\mathrm{odd}\:\mathrm{numbers} \\ $$$$\mathrm{and}\:\mathrm{eleven}\:\mathrm{even}\:\mathrm{numbers}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 53513 by 0955083339 last updated on 22/Jan/19 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{ten}\:\mathrm{odd}\:\mathrm{numbers} \\ $$$$\mathrm{and}\:\mathrm{eleven}\:\mathrm{even}\:\mathrm{numbers}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 53502 by 0955083339 last updated on 22/Jan/19 $$\mathrm{If}\:\left({x}−\mathrm{5}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{factor}\:\mathrm{of}\:\:\mathrm{2}{x}^{\mathrm{2}} +\mathrm{2}{px}−\mathrm{2}{p}=\mathrm{0}, \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\:{p}\:\:\mathrm{is} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 22/Jan/19 $$\mathrm{2}×\mathrm{5}^{\mathrm{2}} +\mathrm{2}{p}×\mathrm{5}−\mathrm{2}{p}=\mathrm{0} \\…