Question Number 202598 by cortano12 last updated on 30/Dec/23 Answered by MM42 last updated on 30/Dec/23 $$\mathrm{780}\: \\ $$$$ \\ $$ Commented by MM42 last…
Question Number 202592 by Calculusboy last updated on 30/Dec/23 $$\:\boldsymbol{{If}}\:\:\boldsymbol{{I}}_{\boldsymbol{{n}}} \:\boldsymbol{{denotes}}\:\int\boldsymbol{{z}}^{\boldsymbol{{n}}} \boldsymbol{{e}}^{\frac{\mathrm{1}}{\boldsymbol{{z}}}} \boldsymbol{{dz}},\:\boldsymbol{{then}}\:\boldsymbol{{show}}\:\boldsymbol{{that}} \\ $$$$\left(\boldsymbol{{n}}+\mathrm{1}\right)!\boldsymbol{{I}}_{\boldsymbol{{n}}} =\boldsymbol{{I}}_{\mathrm{0}} +\boldsymbol{{e}}^{\frac{\mathrm{1}}{\boldsymbol{{z}}}} \left(\mathrm{1}\centerdot!\boldsymbol{{z}}^{\mathrm{2}} +\mathrm{2}\centerdot!\boldsymbol{{z}}^{\mathrm{3}} +\centerdot\centerdot\centerdot+\boldsymbol{{n}}!\centerdot\boldsymbol{{z}}^{\boldsymbol{{n}}+\mathrm{1}} \right) \\ $$$$ \\ $$…
Question Number 202580 by hardmath last updated on 29/Dec/23 $$\mathrm{If} \\ $$$$\underset{\:=\:\boldsymbol{\mathrm{b}}} {\mathrm{max}}\:\underset{\:=\:\boldsymbol{\mathrm{a}}} {\mathrm{min}}\:\left(\mathrm{a}^{\mathrm{2}} \:-\:\mathrm{2ab}\:-\:\mathrm{b}^{\mathrm{2}} \:-\:\mathrm{2ax}\:+\:\mathrm{10bx}\right)\:=\:\mathrm{7} \\ $$$$ \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$ Terms of Service…
Question Number 202551 by aba last updated on 29/Dec/23 $$\underset{\mathrm{i}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\left(\mathrm{x}+\mathrm{y}\right)_{\mathrm{i}} =\left(\mathrm{x}+\mathrm{y}\right)_{\mathrm{1}} +\left(\mathrm{x}+\mathrm{y}\right)_{\mathrm{2}} +…\left(\mathrm{x}+\mathrm{y}\right)_{\mathrm{n}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{x}_{\mathrm{1}} +\mathrm{y}_{\mathrm{1}} +\mathrm{x}_{\mathrm{2}} +\mathrm{y}_{\mathrm{2}} +…+\mathrm{x}_{\mathrm{n}} +\mathrm{y}_{\mathrm{n}} \: \\ $$$$\mathrm{please}\:\mathrm{it}'\mathrm{s}\:\mathrm{correct}\:?…
Question Number 202540 by MATHEMATICSAM last updated on 29/Dec/23 $$\mathrm{If}\:\frac{{b}}{{a}\:+\:{b}}\:=\:\frac{\mathrm{3}{a}\:−\:{b}\:−\:{c}}{\mathrm{2}{b}\:+\:{c}\:−\:{a}}\:=\:\frac{\mathrm{3}{c}\:−\:{a}}{\mathrm{2}{a}\:−\:{b}\:+\:\mathrm{3}{c}}\: \\ $$$$\left[{a}\:+\:{b}\:+\:{c}\:\neq\:\mathrm{0}\right]\:\mathrm{then}\:\mathrm{show}\:\mathrm{that}\:{a}\:=\:{b}\:=\:{c}. \\ $$ Answered by som(math1967) last updated on 29/Dec/23 $$\:\frac{{b}}{{a}+{b}}=\frac{\mathrm{3}{a}−{b}−{c}}{\mathrm{2}{b}+{c}−{a}}=\frac{\mathrm{3}{c}−{a}}{\mathrm{2}{a}−{b}+\mathrm{3}{c}} \\ $$$$\frac{\mathrm{3}{b}}{\mathrm{3}{a}+\mathrm{3}{b}}=\frac{\mathrm{3}{a}−{b}−{c}}{\mathrm{2}{b}+{c}−{a}}=\frac{\mathrm{3}{c}−{a}}{\mathrm{2}{a}−{b}+\mathrm{3}{c}} \\…
Question Number 202543 by mr W last updated on 29/Dec/23 Commented by mr W last updated on 29/Dec/23 $${unsolved}\:{old}\:{question}\:{Q}\mathrm{201806} \\ $$ Answered by mr W…
Question Number 202536 by cortano12 last updated on 29/Dec/23 $$\:\:\: \\ $$ Answered by taguim001 last updated on 29/Dec/23 $$ \\ $$$${f}\left({xy}\right){f}\left({x}\right)−{f}\left({xy}\right){f}\left({y}\right)={xf}\left({x}\right){f}\left({y}\right)−{yf}\left({x}\right){f}\left({y}\right) \\ $$$$\left\{_{{f}\left({xy}\right){f}\left({y}\right)={yf}\left({x}\right){f}\left({y}\right)} ^{{f}\left({xy}\right){f}\left({x}\right)={xf}\left({x}\right){f}\left({y}\right)}…
Question Number 202564 by mathocean1 last updated on 30/Dec/23 $${Find}\:{the}\:{transformation}\:{of}\:{Fourier}: \\ $$$${z}\left({t}\right)={cos}\left(\mathrm{2}\pi{F}_{\mathrm{1}} {t}\right)+{cos}\left(\mathrm{2}\pi{F}_{\mathrm{2}} {t}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 202532 by justenspi last updated on 29/Dec/23 $${please}\:{help} \\ $$ Commented by justenspi last updated on 29/Dec/23 Terms of Service Privacy Policy Contact:…
Question Number 202566 by MASANJAJJ last updated on 29/Dec/23 Answered by Rasheed.Sindhi last updated on 29/Dec/23 $${Selling}\:{price}\:{of}\:{one}\:{tshirt}:\mathrm{7500}+{p} \\ $$$${where}\:{p}>\mathrm{0}\:{is}\:{profit}\:{per}\:{tshirt}\: \\ $$$${Let}\:{n}\:{tshirts}\:{are}\:{sold};\:{n}\in\mathbb{N} \\ $$$${Total}\:{sell}={n}\left(\mathrm{7500}+{p}\right) \\ $$$${Commission}\:{of}\:{Mr}\:{Tony}:…