Question Number 150224 by mnjuly1970 last updated on 10/Aug/21 Answered by Olaf_Thorendsen last updated on 10/Aug/21 $$\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{dx}}{\mathrm{1}+\lfloor\frac{{x}}{\mathrm{1}−{x}}\rfloor} \\ $$$$\mathrm{I}\:=\:\int_{\mathrm{0}} ^{+\infty} \frac{\mathrm{1}}{\mathrm{1}+\lfloor{u}\rfloor}.\frac{{du}}{\left(\mathrm{1}+{u}\right)^{\mathrm{2}} } \\…
Question Number 19154 by khamizan833@yahoo.com last updated on 06/Aug/17 $$\mathrm{If}\:{f}\left({x}\right)\:=\:\frac{\mathrm{9}^{{x}} }{\mathrm{9}^{{x}} \:+\:\mathrm{3}},\:\mathrm{find}\:\mathrm{the}\:\mathrm{value} \\ $$$${f}\left(\frac{\mathrm{1}}{\mathrm{2007}}\right)\:+\:{f}\left(\frac{\mathrm{2}}{\mathrm{2007}}\right)\:+\:{f}\left(\frac{\mathrm{3}}{\mathrm{2007}}\right)\:+\:…\:+\:{f}\left(\frac{\mathrm{2006}}{\mathrm{2006}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 150226 by mnjuly1970 last updated on 10/Aug/21 $$ \\ $$$$\:\:\:\:\:\mathrm{prove}\:\:\mathrm{that}\::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\zeta\:\left(\mathrm{0}\:\right)\overset{?} {=}\:\frac{−\mathrm{1}}{\mathrm{2}}\:……….\blacksquare \\ $$$$\:\:\:\:\:\:\:{m}.{n}… \\ $$ Answered by Kamel last…
Question Number 84689 by mr W last updated on 15/Mar/20 Commented by mr W last updated on 15/Mar/20 $${the}\:{parabola}\:{is}\:{rolled}\:{along}\:{the}\:{circle} \\ $$$${as}\:{shown}. \\ $$$${find}\:{the}\:{equation}\:{of}\:{the}\:{parabola}\:{when} \\ $$$${the}\:{touching}\:{point}\:{is}\:{at}\:{the}\:{position}\:\theta.…
Question Number 19150 by Tinkutara last updated on 06/Aug/17 $$\mathrm{A}\:\mathrm{semicircle}\:\mathrm{is}\:\mathrm{tangent}\:\mathrm{to}\:\mathrm{both}\:\mathrm{legs}\:\mathrm{of}\:\mathrm{a} \\ $$$$\mathrm{right}\:\mathrm{triangle}\:\mathrm{and}\:\mathrm{has}\:\mathrm{its}\:\mathrm{centre}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{hypotenuse}.\:\mathrm{The}\:\mathrm{hypotenuse}\:\mathrm{is} \\ $$$$\mathrm{partitioned}\:\mathrm{into}\:\mathrm{4}\:\mathrm{segments},\:\mathrm{with}\:\mathrm{lengths} \\ $$$$\mathrm{3},\:\mathrm{12},\:\mathrm{12},\:\mathrm{and}\:{x},\:\mathrm{as}\:\mathrm{shown}\:\mathrm{in}\:\mathrm{the}\:\mathrm{figure}. \\ $$$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:'{x}'. \\ $$ Commented by Tinkutara…
Question Number 150223 by KONE last updated on 10/Aug/21 Answered by CAIMAN last updated on 10/Aug/21 Answered by CAIMAN last updated on 10/Aug/21 $$\boldsymbol{{il}}\:\boldsymbol{{y}}\:\boldsymbol{{a}}\:\boldsymbol{{une}}\:\boldsymbol{{erreur}}\:\boldsymbol{{c}}'\boldsymbol{{est}}\:\boldsymbol{{plutot}}\:\boldsymbol{{im}}\left(\boldsymbol{{Z}}_{\mathrm{1}} +\boldsymbol{{Z}}_{\mathrm{2}}…
Question Number 150222 by lapache last updated on 10/Aug/21 $${Calcul}\:{des}\:{sommes} \\ $$$${A}−\:\underset{{p}=\mathrm{0}} {\overset{\alpha} {\sum}}{C}_{{n}} ^{\mathrm{2}{p}} =…..??\:\:\:\:\:{avec}\:\:\alpha={E}\left(\frac{{n}}{\mathrm{2}}\right) \\ $$$${B}−\:\underset{{p}=\mathrm{0}} {\overset{\beta} {\sum}}{C}_{{n}} ^{\mathrm{2}{p}+\mathrm{1}} =….??\:\:\:\:{avec}\:\beta={E}\left(\frac{{n}−\mathrm{1}}{\mathrm{2}}\right) \\ $$$$ \\…
Question Number 84685 by M±th+et£s last updated on 15/Mar/20 $$\int\frac{{dx}}{{x}\left(\mathrm{2}−{e}^{{x}} \right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 84682 by Power last updated on 15/Mar/20 Commented by Power last updated on 15/Mar/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{painted}\:\mathrm{area}\:? \\ $$ Commented by mr W last updated…
Question Number 84683 by M±th+et£s last updated on 15/Mar/20 $${x}\in{N}\:{and}\:{y}\in{N}:\left({x}<{y}\right) \\ $$$${slove}\:\left({E}\right): \\ $$$${xy}−\mathrm{4}{y}+\mathrm{3}{x}−\mathrm{2027}=\mathrm{0}…..\left({E}\right) \\ $$ Answered by mr W last updated on 15/Mar/20 $$\mathrm{4}<{x}<\mathrm{45}…