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Author: Tinku Tara

Question-215601

Question Number 215601 by SaidYousaf last updated on 11/Jan/25 Commented by mr W last updated on 11/Jan/25 $${please}\:{post}\:{only}\:{questions}, \\ $$$${comments}\:{or}\:{answers},\:{no}\:{photos} \\ $$$${which}\:{have}\:{nothing}\:{to}\:{do}\:{with}\:{the} \\ $$$${questions}!\:{thanks}! \\…

Question-215593

Question Number 215593 by mr W last updated on 11/Jan/25 Commented by mr W last updated on 11/Jan/25 $${a}\:{solid}\:{ball}\:{with}\:{radius}\:\boldsymbol{{r}}\:{and}\:{mass} \\ $$$$\boldsymbol{{m}}\:{is}\:{given}\:{a}\:{speed}\:\boldsymbol{{u}}\:{on}\:{a}\:{rough}\: \\ $$$${horizontal}\:{surface}.\:{the}\:{friction} \\ $$$${coefficient}\:{is}\:\boldsymbol{\mu}.…

Let-u-1-u-2-s-t-u-tt-1-2-x-1-2-2-x-i-2-u-1-u-1-x-1-x-2-0-x-1-x-2-u-1-x-1-x-2-0-0-u-tt-2-2-x-1-2-

Question Number 215550 by MrGaster last updated on 10/Jan/25 $$\boldsymbol{\mathrm{Let}}\:\boldsymbol{{u}}^{\left(\mathrm{1}\right)} ,\boldsymbol{{u}}^{\left(\mathrm{2}\right)} \boldsymbol{\mathrm{s}}.\boldsymbol{\mathrm{t}}.\begin{cases}{\boldsymbol{{u}}_{\boldsymbol{{tt}}} ^{\left(\mathrm{1}\right)} =\left(\frac{\partial^{\mathrm{2}} }{\partial\boldsymbol{{x}}_{\mathrm{1}} ^{\mathrm{2}} }+\frac{\partial^{\mathrm{2}} }{\partial\boldsymbol{{x}}_{{i}} ^{\mathrm{2}} }\right)\boldsymbol{{u}}^{\left(\mathrm{1}\right)} }\\{\boldsymbol{{u}}^{\left(\mathrm{1}\right)} \left(\boldsymbol{{x}}_{\mathrm{1}} ,\boldsymbol{{x}}_{\mathrm{2}} ,\mathrm{0}\right)=\boldsymbol{\psi}\left(\boldsymbol{{x}}_{\mathrm{1}} ,\boldsymbol{{x}}_{\mathrm{2}}…

1-i-n-x-i-2-1-1-i-n-x-i-2-m-1-i-n-a-i-x-i-2k-1-i-n-dx-i-

Question Number 215540 by MrGaster last updated on 10/Jan/25 $$\int_{\underset{\mathrm{1}\leq{i}\leq{n}} {\sum}{x}_{{i}} ^{\mathrm{2}} \leq\mathrm{1}} \left(\underset{\mathrm{1}\leq{i}\leq{n}} {\sum}{x}_{{i}} ^{\mathrm{2}} \right)^{{m}} \left(\underset{\mathrm{1}\leq{i}\leq{n}} {\sum}{a}_{{i}} {x}_{{i}} \right)^{\mathrm{2}{k}} \underset{\mathrm{1}\leq{i}\leq{n}} {\prod}{dx}_{{i}} \\ $$…

given-x-y-y-x-630-y-y-x-x-604-find-x-and-y-

Question Number 215564 by Wuji last updated on 10/Jan/25 $$\boldsymbol{\mathrm{given}};\:\:\boldsymbol{\mathrm{x}}\sqrt{\boldsymbol{\mathrm{y}}}+\boldsymbol{\mathrm{y}}\sqrt{\boldsymbol{\mathrm{x}}}=\mathrm{630} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{y}}\sqrt{\boldsymbol{\mathrm{y}}}+\boldsymbol{\mathrm{x}}\sqrt{\boldsymbol{\mathrm{x}}}=\mathrm{604} \\ $$$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{y}} \\ $$ Answered by Frix last updated on 10/Jan/25 $$\sqrt{{x}}={a}+{b}\mathrm{i}\wedge\sqrt{{y}}={a}−{b}\mathrm{i};\:{b}\geqslant\mathrm{0} \\…