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Author: Tinku Tara

If-p-q-r-gt-0-pqr-1-min-p-3-q-r-q-3-p-r-r-3-p-q-give-a-reason-

Question Number 204187 by mnjuly1970 last updated on 08/Feb/24 $$ \\ $$$$\:\:\:\:\:\:{If}\:\:\:{p}\:,\:{q}\:,\:{r}\:>\mathrm{0}\:,\:\:{pqr}=\:\mathrm{1} \\ $$$$\:\:\:\:\: \\ $$$$\:\Rightarrow\:\:{min}\left(\frac{\:{p}^{\mathrm{3}} }{{q}+{r}}\:+\:\frac{{q}^{\:\mathrm{3}} }{{p}+{r}}\:+\frac{{r}^{\mathrm{3}} }{{p}+{q}}\:\right)=? \\ $$$$\:\:\:\ast\:{give}\:{a}\:{reason}\:\ast \\ $$ Answered by…

Question-204211

Question Number 204211 by mnjuly1970 last updated on 08/Feb/24 Answered by witcher3 last updated on 08/Feb/24 $$\mathrm{detA}=\mathrm{7}=\overset{−} {\mathrm{0}}\:\:\mathrm{in}\:\mathbb{Z}/\mathrm{7}\mathbb{Z} \\ $$$$\mathrm{A}\notin\mathrm{GL}\left(\mathrm{2};\mathbb{Z}/\mathrm{7}\mathbb{Z}\right) \\ $$$$ \\ $$ Commented…

Question-204179

Question Number 204179 by mr W last updated on 08/Feb/24 Answered by AST last updated on 08/Feb/24 $${f}\left({x}\right)={f}\left({y}\right)\Rightarrow{f}\left({f}\left({x}\right)\right)={f}\left({f}\left({y}\right)\right)\Rightarrow{x}^{\mathrm{2}} −{x}={y}^{\mathrm{2}} −{y} \\ $$$$\Rightarrow\left({x}−{y}\right)\left({x}+{y}\right)={x}−{y}\Rightarrow{x}=\mathrm{1}−{y}\:{or}\:{x}={y} \\ $$$$\Rightarrow{f}\left({x}\right)={f}\left(\mathrm{1}−{x}\right)\Rightarrow{f}\left(\mathrm{0}\right)={f}\left(\mathrm{1}\right) \\…

Question-204174

Question Number 204174 by patrice last updated on 08/Feb/24 Answered by Faetmaaa last updated on 27/Feb/24 $$\left.\mathrm{3}\right)- \\ $$$$\forall{n}\in\boldsymbol{\mathrm{N}}^{\bigstar} \\ $$$${S}_{{n}} \:=\:\frac{\mathrm{1}}{{n}}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\mathrm{ln}\left(\frac{{k}}{{n}}\right) \\…

Question-204197

Question Number 204197 by ajfour last updated on 08/Feb/24 Answered by mr W last updated on 08/Feb/24 $$\mathrm{sin}\:\frac{\theta}{\mathrm{2}}=\frac{{a}}{{R}−{a}} \\ $$$${OC}={OB}+{BC} \\ $$$$\frac{{R}}{\mathrm{cos}\:\theta}=\sqrt{\left({R}+\mathrm{1}\right)^{\mathrm{2}} −\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{tan}\:\left(\frac{\frac{\pi}{\mathrm{2}}−\theta}{\mathrm{2}}\right)} \\…

hello-frinds-I-have-a-question-when-the-most-accurate-math-sofward-it-solves-the-most-complex-math-problems-what-is-the-need-for-us-to-spend-hours-to-solve-that-Ofcourse-i-myself-love-math-sorry-

Question Number 204157 by esmaeil last updated on 07/Feb/24 $${hello}\:{frinds} \\ $$$${I}\:{have}\:{a}\:{question} \\ $$$${when}\:{the}\:{most}\:{accurate}\:{math}\:{sofward} \\ $$$${it}\:{solves}\:{the}\:{most}\:{complex}\:{math} \\ $$$${problems}\:.{what}\:{is}\:{the}\:{need}\:{for}\:{us} \\ $$$${to}\:{spend}\:{hours}\:{to}\:{solve}\:{that}? \\ $$$$\left({Ofcourse}\:{i}\:{myself}\:{love}\:{math}\right) \\ $$$$\left({sorry}\:{i}'{m}\:{bad}\:{in}\:{english}\right) \\…

Question-204158

Question Number 204158 by siyathokoza last updated on 07/Feb/24 Commented by siyathokoza last updated on 07/Feb/24 $$\boldsymbol{\mathrm{HI}}\:\boldsymbol{\mathrm{PROF}}… \\ $$$$\boldsymbol{\mathrm{Please}}\:\boldsymbol{\mathrm{explain}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{word}}\:\boldsymbol{\mathrm{problem}} \\ $$ Commented by siyathokoza last…