Question Number 213436 by mr W last updated on 05/Nov/24 Answered by A5T last updated on 05/Nov/24 Commented by mr W last updated on 05/Nov/24…
Question Number 213439 by Ari last updated on 05/Nov/24 Commented by BaliramKumar last updated on 06/Nov/24 $${l}\:{and}\:{b}\:=\:? \\ $$$$\mathrm{If}\:\mathrm{square}\:\:\:\:=\:\lceil\frac{\sqrt{\mathrm{2000}}}{\mathrm{7}}\rceil^{\mathrm{2}} =\:\mathrm{49} \\ $$$$ \\ $$ Commented…
Question Number 213423 by efronzo1 last updated on 05/Nov/24 $$\:\:\lfloor\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}−\mathrm{1}\rfloor\:+\:\lfloor\:\frac{\mathrm{2}}{\mathrm{2}}\mathrm{x}−\mathrm{2}\rfloor+\lfloor\frac{\mathrm{3}}{\mathrm{2}}\mathrm{x}−\mathrm{3}\rfloor+…+\lfloor\frac{\mathrm{100}}{\mathrm{2}}\mathrm{x}−\mathrm{100}\rfloor\:\leqslant\mathrm{10100} \\ $$$$\:\:\mathrm{for}\:\mathrm{x}\:\mathrm{non}\:\mathrm{negative}\:\mathrm{integers}. \\ $$$$\:\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$ Answered by golsendro last updated on 05/Nov/24 $$\:\:\:\underline{ }…
Question Number 213435 by mnjuly1970 last updated on 14/Nov/24 $$ \\ $$$$\:\:\:\:\:\:\:{A}\:\in\:\mathrm{M}_{\mathrm{2}×\mathrm{2}} \:\:,{and}\:,{det}\:\left({A}\right)\neq\mathrm{0}\::\:\:\:{A}^{\mathrm{3}} \:=\:{A}^{\mathrm{2}} \:+\:{A} \\ $$$$\:\:\:\:\:\:\:\:\Rightarrow\:\:{det}\:\left(\:{A}\:−\mathrm{2}{I}\:\right)=? \\ $$$$\:\:\:\:\:\: \\ $$ Terms of Service Privacy…
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Question Number 213430 by hardmath last updated on 05/Nov/24 $$\mathrm{x},\mathrm{y},\mathrm{z}\:\in\:\mathbb{R} \\ $$$$\begin{cases}{\mathrm{x}\:+\:\left[\mathrm{y}\right]\:+\:\left\{\mathrm{z}\right\}\:=\:\mathrm{9},\mathrm{4}}\\{\left[\mathrm{x}\right]\:+\:\left\{\mathrm{y}\right\}\:+\:\mathrm{z}\:=\:\mathrm{11},\mathrm{3}}\\{\left\{\mathrm{x}\right\}\:+\:\mathrm{y}\:+\:\left[\mathrm{z}\right]\:=\:\mathrm{10},\mathrm{5}}\end{cases}\:\:\:\:\:\mathrm{find}:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$ Answered by A5T last updated on 05/Nov/24 $$\left({i}\right)−\left({ii}\right):\:\left\{{x}\right\}+\left[{y}\right]−\left\{{y}\right\}−\left[{z}\right]=−\mathrm{1}.\mathrm{9}…\left({iv}\right) \\ $$$$\left({iv}\right)−\left({iii}\right)\Rightarrow\left[{y}\right]−\left\{{y}\right\}−{y}−\mathrm{2}\left[{z}\right]=−\mathrm{12}.\mathrm{4} \\…
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Question Number 213404 by issac last updated on 04/Nov/24 $$\mathrm{pls}\:\mathrm{teach}\:\mathrm{me}\:\mathrm{above}\:\mathrm{question} \\ $$$$\downarrow\downarrow\:\left(\mathrm{prove}\:\mathrm{real}\:\mathrm{analysis}\:\mathrm{pls}\right) \\ $$$$\mathrm{and}\:\mathrm{sorry}\:\mathrm{Mr}\:\mathrm{gaster} \\ $$$$\mathrm{i}\:\mathrm{cant}\:\mathrm{believe}\:\mathrm{you}\:\mathrm{answer}…. \\ $$ Commented by MrGaster last updated on 04/Nov/24…
Question Number 213391 by York12 last updated on 04/Nov/24 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{system}\:\mathrm{of}\:\mathrm{equations}\:\mathrm{where}\:{a},{b},{c}\geqslant\mathrm{0} \\ $$$${a}−\mathrm{2}{bc}={b}−\mathrm{2}{ac}={c}−\mathrm{2}{ab} \\ $$$${a}+{b}+{c}=\mathrm{2}\: \\ $$ Answered by Frix last updated on 04/Nov/24 $$\mathrm{Due}\:\mathrm{to}\:\mathrm{symmetry}\:{a}={b}={c}=\frac{\mathrm{2}}{\mathrm{3}} \\…
Question Number 213417 by hardmath last updated on 04/Nov/24 $$\mathrm{a}\:,\:\mathrm{b}\:,\:\mathrm{c}\:,\:\mathrm{d}\:\in\:\mathbb{N} \\ $$$$\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:+\:\mathrm{d}\:=\:\mathrm{63} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{maksimum}\left(\mathrm{ab}\:+\:\mathrm{bc}\:+\:\mathrm{cd}\right)\:=\:? \\ $$ Answered by Frix last updated on 05/Nov/24 $${d}=\mathrm{63}−{a}−{b}−{c} \\…