Question Number 205862 by MathedUp last updated on 01/Apr/24 $$\mathrm{can}\:\mathrm{Solve}\:\mathrm{Diff}\:\mathrm{equa} \\ $$$$\left(\frac{\mathrm{d}{y}\left({t}\right)}{\mathrm{d}{t}}\right)^{\mathrm{2}} +\mathrm{4}{y}\left({t}\right)=\mathrm{8}{t}^{\mathrm{2}} −\mathrm{32}{t}+\mathrm{28} \\ $$$$\mathrm{Not}\:\mathrm{assuming}\:{y}\left({t}\right)={at}^{\mathrm{2}} +{bt}+{c} \\ $$$$\mathrm{and}\:\mathrm{Not}\:\mathrm{use}\:\mathrm{Rk}−\mathrm{4}\:\mathrm{method}?? \\ $$$$\left(\mathrm{meaning}\:\mathrm{can}\:\mathrm{we}\:\mathrm{get}\:\mathrm{closed}\:\mathrm{form}\:\mathrm{soultion}\right) \\ $$ Terms of…
Question Number 205873 by universe last updated on 01/Apr/24 $$\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{1}}{\pi^{\mathrm{2}} }\:\frac{{x}}{\:\sqrt{\mathrm{1}+\mathrm{sin}^{\mathrm{3}} {x}\:}}\left[\left(\mathrm{3}\pi\mathrm{cos}{x}+\mathrm{4sin}{x}\right)\mathrm{sin}^{\mathrm{2}} {x}+\mathrm{4}\right]{dx}\:\:\: \\ $$ Answered by Berbere last updated on 02/Apr/24 $${x}\rightarrow\pi−{x};{let}\:\Omega={integral}…
Question Number 205820 by mustafazaheen last updated on 31/Mar/24 $$\begin{pmatrix}{\sqrt{\mathrm{3}}}\\{\mathrm{1}}\end{pmatrix}\:\:\mathrm{and}\:\:\begin{pmatrix}{\mathrm{1}}\\{\sqrt{\mathrm{3}}}\end{pmatrix}\:\:\:\mathrm{vector}\:\mathrm{find}\:\theta=? \\ $$ Answered by mr W last updated on 31/Mar/24 $$\mathrm{cos}\:\theta=\frac{\sqrt{\mathrm{3}}×\mathrm{1}+\mathrm{1}×\sqrt{\mathrm{3}}}{\:\mathrm{2}×\mathrm{2}}=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$\Rightarrow\theta=\mathrm{30}° \\ $$…
Question Number 205823 by MathedUp last updated on 31/Mar/24 $$\mathrm{Error}\:\mathrm{Report} \\ $$$$\mathrm{Expression}\:\mathrm{is}\:\mathrm{Broken} \\ $$$${F}\left({s}\right)=\frac{\mathrm{1}}{\mathrm{2}{s}\sqrt{\pi}\centerdot\mathrm{sgn}\left({m}\right)}\mathrm{G}_{\mathrm{1},\mathrm{3}} ^{\mathrm{3},\mathrm{1}} \left(\left(\frac{\mathrm{2}}{{ms}}\right)^{\mathrm{2}} ;\cancel{\underbrace{\llcorner}}\right. \\ $$$$\mathrm{right}\:\mathrm{matrix}\:\mathrm{button}\:\mathrm{dosen}'\mathrm{t}\:\mathrm{work} \\ $$$$\begin{bmatrix}{{a}}\\{{b}}\end{bmatrix}\:\begin{vmatrix}{{a}}\\{{d}}\end{vmatrix}\:\begin{pmatrix}{{p}}\\{{q}}\end{pmatrix}\:\:\begin{cases}{\alpha}\\{\beta}\end{cases}\:\:,\:\left.\begin{matrix}{{u}}\\{{v}}\end{matrix}\right\}\:\begin{array}{|c|c|}{\mathrm{12345}}\\{\mathrm{98765}}\\\hline\end{array} \\ $$$$\mathrm{these}\:\mathrm{Expressions}\:\mathrm{come}\:\mathrm{out}\:\mathrm{normally} \\ $$$$\cancel{\underbrace{\llcorner}}…
Question Number 205849 by Davidtim last updated on 31/Mar/24 $${if}\:{a}^{{a}} ={b}^{{b}} \:\:;\:{a}={b}\:\:{is}\:{it}\:{true}? \\ $$$${if}\:{it}\:{is}\:{true}\:{then}\:{prove}\:{it}. \\ $$ Commented by mr W last updated on 31/Mar/24 $${not}\:{true}\:{for}\:\mathrm{0}<{a},\:{b}<\mathrm{1}.…
Question Number 205817 by hardmath last updated on 31/Mar/24 $$\mathrm{2}^{\:\boldsymbol{\mathrm{x}}\:+\:\boldsymbol{\mathrm{log}}_{\mathrm{2}} \:\mathrm{3}} \:=\:\mathrm{12}\:\:\Rightarrow\:\:\mathrm{find}:\:\:\mathrm{x}\:=\:? \\ $$ Answered by A5T last updated on 31/Mar/24 $$\left(\mathrm{2}^{{x}} \right)\left(\mathrm{2}^{{log}_{\mathrm{2}} \mathrm{3}} \right)=\mathrm{12}\Rightarrow\left(\mathrm{2}^{{x}}…
Question Number 205808 by cortano12 last updated on 31/Mar/24 Commented by A5T last updated on 02/Apr/24 $${I}\:{guess}\:{this}\:{is}\:{not}\:{uniquely}\:{defined}.\: \\ $$ Commented by A5T last updated on…
Question Number 205842 by BaliramKumar last updated on 31/Mar/24 $$\frac{\mathrm{32}^{\mathrm{32}^{\mathrm{32}} } }{\mathrm{9}}\:\overset{\mathrm{R}} {\equiv}\:? \\ $$ Answered by A5T last updated on 01/Apr/24 $$\mathrm{32}^{\mathrm{32}^{\mathrm{32}} } \overset{\mathrm{9}}…
Question Number 205833 by MathedUp last updated on 31/Mar/24 $$\mathrm{can}'\mathrm{t}\:\mathrm{Solve}\:\mathrm{Differantial}\:\mathrm{Equation} \\ $$$$\mathrm{Diff}\:\mathrm{Equa}\::\:\left(\frac{\mathrm{d}{y}\left({t}\right)}{\mathrm{d}{t}}\right)^{\mathrm{2}} +\mathrm{4}{y}\left({t}\right)=\mathrm{8}{t}^{\mathrm{2}} −\mathrm{32}{t}+\mathrm{28}…. \\ $$$$\mathrm{Sadly}\:\mathrm{it}'\mathrm{s}\:\mathrm{impossible}\:\mathrm{to}\:\mathrm{obtain}\:\mathrm{an}\:\mathrm{exact} \\ $$$$\mathrm{closed}−\mathrm{form}\:\mathrm{expression}\:\mathrm{of}\:\mathrm{the}\:\mathrm{Solution}\:\mathrm{of}\:\mathrm{Diff}\:\mathrm{Equa} \\ $$$$\mathrm{But}\:\mathrm{if}\:\mathrm{the}\:\mathrm{Runge}−\mathrm{Kutta}\:\mathrm{method}\:\mathrm{is}\:\mathrm{used}. \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}\:\mathrm{at}\:\mathrm{any}\:\mathrm{one}\:\mathrm{point}\:\mathrm{can}\:\mathrm{be}\:\mathrm{estimated} \\ $$ Commented…
Question Number 205825 by tri26112004 last updated on 31/Mar/24 $$\left[{f}'\left({x}\right)\right]^{\mathrm{2}} +\mathrm{4}{f}\left({x}\right)=\mathrm{8}{x}^{\mathrm{2}} −\mathrm{32}{x}+\mathrm{28} \\ $$$$\Rightarrow{f}\left({x}\right)=¿ \\ $$ Commented by mr W last updated on 31/Mar/24 $${f}\left({x}\right)={x}^{\mathrm{2}}…