Question Number 212925 by MrGaster last updated on 27/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{\:\sqrt{{n}^{\mathrm{2}} +\mathrm{1}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 212926 by efronzo1 last updated on 27/Oct/24 $$\:\mathrm{find}\:\mathrm{integers}\:\mathrm{x},\mathrm{y}\:\mathrm{such}\:\mathrm{that}\: \\ $$$$\:\:\:\frac{\mathrm{x}}{\mathrm{x}−\mathrm{3}}\:−\frac{\mathrm{4}}{\mathrm{y}^{\mathrm{2}} −\mathrm{45}}\:=\:\frac{\mathrm{1}}{\mathrm{100}} \\ $$ Answered by Frix last updated on 27/Oct/24 $$\Leftrightarrow \\ $$$${x}=\frac{\mathrm{3}\left({y}^{\mathrm{2}}…
Question Number 212927 by MrGaster last updated on 27/Oct/24 $$\mathrm{White}\:\mathrm{horse}\neq\mathrm{horse}\:\mathrm{and}\:\mathrm{horse}\neq\mathrm{White}\:\mathrm{horse} \\ $$$${Q}:\mathrm{Are}\:\mathrm{the}\:\mathrm{above}\:\mathrm{propositions}\:\mathrm{equivalent}? \\ $$ Answered by Faetmaaa last updated on 27/Oct/24 $$\mathrm{Yes}\:\mathrm{because}\:\neq\:\mathrm{is}\:\mathrm{a}\:\mathrm{symetric}\:\mathrm{relation}. \\ $$ Terms…
Question Number 212984 by Faetmaaa last updated on 27/Oct/24 $$\underline{\boldsymbol{\mathrm{Notation}}\::}\:\mathrm{Soit}\:{A}\:\mathrm{une}\:\mathrm{partie}\:\mathrm{de}\:\mathbb{R}.\:\mathrm{On}\:\mathrm{appelle}\:{indicatrice}\:{de}\:{A}, \\ $$$$\mathrm{not}\acute {\mathrm{e}e}\:\chi_{{A}} ,\:\mathrm{l}'\mathrm{application}\:{x}\: \:\begin{cases}{\mathrm{1}\:\mathrm{si}\:{x}\:\in\:{A}}\\{\mathrm{0}\:\mathrm{sinon}}\end{cases}. \\ $$$$ \\ $$$$\mathrm{1}.\:\mathrm{Pour}\:{k}\:\mathrm{dans}\:\mathbb{N}^{\ast} \:\mathrm{notons}\:{f}_{{k}} \::\:{x}\: \:\left(\mathrm{cos}\:{x}\right)^{\mathrm{2}{k}} . \\ $$$$\mathrm{Montrer}\:\mathrm{que}\:\left({f}_{{k}}…
Question Number 212986 by MrGaster last updated on 27/Oct/24 Commented by MrGaster last updated on 27/Oct/24 A, B are two fixed points on the same side of the line PQ. M is a moving point on PQ. When (|AM|+|BM|) is minimized, prove: angle AMP = angle BMQ Answered by mr W last updated on 29/Oct/24…
Question Number 212949 by Spillover last updated on 27/Oct/24 Answered by som(math1967) last updated on 27/Oct/24 Commented by som(math1967) last updated on 27/Oct/24 $${AB}={BC}={CD}={AD}={x} \\…
Question Number 212982 by Spillover last updated on 27/Oct/24 Answered by ajfour last updated on 28/Oct/24 $$\mathrm{2}{r}=\frac{\mathrm{85}}{\mathrm{3}}\:\: \\ $$ Answered by A5T last updated on…
Question Number 212950 by Spillover last updated on 27/Oct/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 212976 by hardmath last updated on 27/Oct/24 $$\mathrm{4}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{125}\:\:\:\mathrm{and}\:\:\:\mathrm{8}^{\boldsymbol{\mathrm{y}}} \:=\:\mathrm{5} \\ $$$$\mathrm{find}:\:\:\:\frac{\mathrm{2x}\:−\:\mathrm{y}}{\mathrm{y}}\:=\:? \\ $$ Answered by Amiltonsad last updated on 27/Oct/24 $$ \\…
Question Number 212941 by MrGaster last updated on 27/Oct/24 $$\:\:\:\:\:\:\:\:{Mathematival}\:{proof}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{F}={m}\omega^{\mathrm{2}} {r} \\ $$ Commented by MrGaster last updated on 27/Oct/24 What it means here is "using pure mathematics to prove" " Answered by…