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…
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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…
Question Number 212974 by mnjuly1970 last updated on 27/Oct/24 Answered by MrGaster last updated on 21/Dec/24 $$=\mathrm{ln}\left(\frac{\pi}{\mathrm{2}}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 212936 by ajfour last updated on 27/Oct/24 Commented by ajfour last updated on 27/Oct/24 $${The}\:{region}\:{beyond}\:{half}\:{range}\:{of} \\ $$$${projectile}\:{hss}\:{a}\:{magnetic}\:\:{field} \\ $$$${switched}\:{on}.\:{Find}\:{this}\:{magnetic} \\ $$$${field}\:\bar {{B}}\:{such}\:{that}\:{the}\:{charged}\:\left({q},\:{m}\right) \\…
Question Number 212935 by MrGaster last updated on 27/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{Proving}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mid\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx}−\frac{{f}\left(\mathrm{0}\right)+{f}\left(\mathrm{1}\right)}{\mathrm{2}}\mid\leqslant\frac{\mathrm{1}}{\mathrm{32}} \\ $$$$ \\ $$ Answered by mehdee7396 last updated…