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Question Number 150199 by mathdanisur last updated on 10/Aug/21 Commented by Rasheed.Sindhi last updated on 10/Aug/21 $$\mathrm{Is}\:\mathrm{x}+\mathrm{y}+\mathrm{z}=\pi?\:\mathrm{Are}\:\mathrm{x},\mathrm{y}\:\&\:\mathrm{z}\:\mathrm{the}\:\mathrm{angles} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{triangle}? \\ $$ Terms of Service Privacy…
Question Number 19123 by 433 last updated on 05/Aug/17 $$\begin{cases}{\mathrm{xf}\left(\mathrm{x}\right)−\mathrm{g}\left(\mathrm{x}\right)+\mathrm{h}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{1}}\\{\mathrm{f}\left(\mathrm{x}\right)−\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{g}\left(\mathrm{x}\right)−\mathrm{3h}\left(\mathrm{x}\right)=\mathrm{x}}\\{\mathrm{ln}\:\left(\mathrm{x}\right)\mathrm{f}\left(\mathrm{x}\right)−\left(\mathrm{x}−\mathrm{3}\right)\mathrm{h}\left(\mathrm{x}\right)=\mathrm{1}}\end{cases} \\ $$$$\mathrm{Find}\:\mathrm{f}\left(\mathrm{x}\right),\mathrm{g}\left(\mathrm{x}\right),\mathrm{h}\left(\mathrm{x}\right) \\ $$ Answered by ajfour last updated on 05/Aug/17 $$\mathrm{x}\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{f}−\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{g}+\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{h}=\left(\mathrm{2x}−\mathrm{2}\right)\left(\mathrm{2x}+\mathrm{1}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{f}−\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{g}−\mathrm{3h}=\mathrm{x} \\…
Question Number 19122 by Tinkutara last updated on 05/Aug/17 $$\mathrm{Prove}\:\mathrm{that}\:{r}_{\mathrm{1}} \:+\:{r}_{\mathrm{2}} \:+\:{r}_{\mathrm{3}} \:=\:\mathrm{4}{R}\:+\:{r} \\ $$ Answered by ajfour last updated on 05/Aug/17 $$\mathrm{2Rsin}\:\mathrm{A}=\mathrm{a} \\ $$$$\mathrm{r}_{\mathrm{1}}…
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Question Number 150189 by mathdanisur last updated on 10/Aug/21 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\left(\mathrm{x}\:-\:\mathrm{3}\right)\:\sqrt{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{x}\:−\:\mathrm{2}}\:=\:\mathrm{0} \\ $$ Commented by Skabetix last updated on 10/Aug/21 $${x}=\mathrm{3}\:{or}\:{x}=\mathrm{2}\:{or}\:{x}=−\mathrm{1} \\ $$…
Question Number 84655 by ajfour last updated on 14/Mar/20 Commented by ajfour last updated on 14/Mar/20 $${If}\:{area}\:{of}\:\bigtriangleup{ABC}\:\:{is}\:{equal}\:{to} \\ $$$${max}\:{trapezium}\:{area}\:{BCED}\:, \\ $$$${find}\:{r}\:{in}\:{terms}\:{of}\:{ellipse}\: \\ $$$${parameters}\:{a}\:{and}\:{b}. \\ $$…
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Question Number 150191 by mathdanisur last updated on 10/Aug/21 $$\begin{cases}{\mathrm{x}\:-\:\sqrt{\mathrm{y}}\:=\:\mathrm{7}}\\{\mathrm{y}\:+\:\sqrt{\mathrm{x}}\:=\:\mathrm{7}}\end{cases}\:\:\:\Rightarrow\:\:\mathrm{xy}\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated on 10/Aug/21 $$\begin{cases}{\mathrm{x}\:-\:\underset{\mathrm{v}} {\underbrace{\sqrt{\mathrm{y}}}}\:=\:\mathrm{7}}\\{\mathrm{y}\:+\:\underset{\mathrm{u}} {\underbrace{\sqrt{\mathrm{x}}}}\:=\:\mathrm{7}}\end{cases}\:\:\:\Rightarrow\:\:\mathrm{xy}\:=\:? \\ $$$$\mathrm{u}^{\mathrm{2}} −\mathrm{v}=\mathrm{7}\:\wedge\:\mathrm{v}^{\mathrm{2}}…
Question Number 19117 by sandy_suhendra last updated on 05/Aug/17 $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{7}} {\sum}}\:\frac{\mathrm{n}}{\left(\mathrm{n}^{\mathrm{2}} +\mathrm{1}\right)}\:=\:? \\ $$$$\mathrm{please}\:\mathrm{help} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com