Question Number 79974 by TawaTawa last updated on 29/Jan/20 Answered by Rio Michael last updated on 30/Jan/20 $$\:\boldsymbol{\mathrm{solution}} \\ $$$$\:\:\left[\left({p}\:\vee\:{q}\right)\:\wedge\:\left(\sim{p}\:\vee{r}\right)\right]\:\Rightarrow\:\left({q}\:\vee{r}\right) \\ $$$$\mathrm{we}\:\mathrm{know}\:\mathrm{from}\:\mathrm{known}\:\mathrm{facts}\:\mathrm{that}\: \\ $$$$\:−\left({p}\:\vee{q}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{contingency}\:\left(\mathrm{neither}\:\mathrm{a}\:\mathrm{tautology}\:\mathrm{nor}\:\mathrm{contradiction}\right) \\…
Question Number 14435 by sin (x) last updated on 31/May/17 $$\int{e}^{−{x}^{\mathrm{2}} } {dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 145499 by mathdanisur last updated on 05/Jul/21 $$\frac{\mathrm{1}}{\mathrm{2}}\:-\:\frac{\mathrm{1}}{\mathrm{4}}\:+\:\frac{\mathrm{1}}{\mathrm{8}}\:-\:\frac{\mathrm{1}}{\mathrm{16}}\:+\:…\:-\:\frac{\mathrm{1}}{\mathrm{256}}\:=\:\frac{\boldsymbol{{z}}+\mathrm{1}}{\mathrm{256}} \\ $$$${find}\:\:\boldsymbol{{z}}=? \\ $$ Answered by gsk2684 last updated on 05/Jul/21 $$\mathrm{sum}\:\mathrm{of}\:\mathrm{8}\:\mathrm{terms}\:\mathrm{in}\:\mathrm{G}.\mathrm{P}.\: \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{\mathrm{1}−\left(−\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{8}} }{\mathrm{1}−\left(−\frac{\mathrm{1}}{\mathrm{2}}\right)}\right)=\frac{\mathrm{84}+\mathrm{1}}{\mathrm{256}}\:…
Question Number 79947 by mr W last updated on 29/Jan/20 $${Find} \\ $$$$\frac{\mathrm{ln}\:\mathrm{2}}{\mathrm{2}!}+\frac{\mathrm{ln}\:\mathrm{3}}{\mathrm{3}!}+\frac{\mathrm{ln}\:\mathrm{4}}{\mathrm{4}!}+…+\frac{\mathrm{ln}\:{n}}{{n}!}+…=? \\ $$ Commented by mr W last updated on 29/Jan/20 $${thanks}\:{again}! \\…
Question Number 79946 by mr W last updated on 29/Jan/20 $${Find}\: \\ $$$$\int_{\mathrm{0}} ^{\:{n}} \left[\sqrt[{\mathrm{3}}]{{x}}\right]{dx}=?\: \\ $$$${in}\:{terms}\:{of}\:{n}.\:\left({n}\in\mathbb{N}\right) \\ $$ Answered by key of knowledge last…
Question Number 79932 by mr W last updated on 29/Jan/20 Commented by mr W last updated on 29/Jan/20 $$\left[{Q}\mathrm{79861}\:{reposted}\right] \\ $$ Answered by mr W…
Question Number 14398 by tawa tawa last updated on 31/May/17 $$\mathrm{Solve}:\: \\ $$$$\frac{\mathrm{7}}{\mathrm{2}}\:+\:\frac{\mathrm{3y}}{\mathrm{x}\:+\:\mathrm{y}}\:=\:\sqrt{\mathrm{x}}\:+\:\mathrm{4}\sqrt{\mathrm{y}}\:\:\:\:\:\:\:\:\:\:\:\:……….\:\mathrm{equation}\:\left(\mathrm{i}\right) \\ $$$$\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \right)\left(\mathrm{x}\:+\:\mathrm{1}\right)\:=\:\mathrm{4}\:+\:\mathrm{2xy}\left(\mathrm{x}\:−\:\mathrm{1}\right)\:\:\:\:……….\:\mathrm{equation}\:\left(\mathrm{ii}\right) \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on…
Question Number 14396 by tawa tawa last updated on 31/May/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 31/May/17 Commented by tawa tawa last updated on 31/May/17…
Question Number 145459 by syamilkamil1 last updated on 05/Jul/21 $${prove}\:\left({A}\:−\:{B}\right)−{C}\:=\:{A}\:−\left({B}\:\cup\:{C}\right) \\ $$ Answered by liberty last updated on 05/Jul/21 $$\:{A}−{B}={A}\cap{B}^{{c}} \\ $$$$\Rightarrow\left({A}−{B}\right)−{C}\:=\:\left({A}\cap{B}^{{c}} \right)\cap{C}^{{c}} \: \\…
Question Number 145451 by math55 last updated on 05/Jul/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}−\mathrm{1}} \frac{\mathrm{30}^{\mathrm{2}{n}−\mathrm{1}} }{\left(\mathrm{2}{n}−\mathrm{1}\right)!} \\ $$ Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\mathrm{S}\:=\:\underset{{n}=\mathrm{1}} {\overset{\infty}…