Question Number 107171 by mohammad17 last updated on 09/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 107169 by ZiYangLee last updated on 09/Aug/20 $$\mathrm{If}\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\in\mathbb{R} \\ $$$$\mathrm{a}+\mathrm{b}=\mathrm{8} \\ $$$$\mathrm{ab}+\mathrm{c}+\mathrm{d}=\mathrm{23} \\ $$$$\mathrm{ad}+\mathrm{bc}=\mathrm{28} \\ $$$$\mathrm{cd}=\mathrm{12} \\ $$$$\mathrm{Find}\:\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} +\mathrm{c}^{\mathrm{2}} +\mathrm{d}^{\mathrm{2}} . \\…
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Question Number 107155 by ZiYangLee last updated on 09/Aug/20 Answered by mr W last updated on 09/Aug/20 $${f}\left({x}\right)=\mathrm{ln}\:{x} \\ $$$${f}\left(\mathrm{1}\right)=\mathrm{0} \\ $$$${f}'\left({x}\right)=\frac{\mathrm{1}}{{x}}>\mathrm{0} \\ $$$${g}\left({x}\right)={k}\left({x}−\frac{\mathrm{1}}{{x}}\right) \\…
Question Number 107124 by Khalmohmmad last updated on 08/Aug/20 Answered by mathmax by abdo last updated on 08/Aug/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{3}^{\pi\mathrm{x}} −\mathrm{1}}{\pi\mathrm{x}}\:\:\mathrm{we}\:\mathrm{have}\:\mathrm{3}^{\pi\mathrm{x}} \:=\mathrm{e}^{\pi\mathrm{xln}\left(\mathrm{3}\right)} \:=\mathrm{1}+\pi\mathrm{xln}\left(\mathrm{3}\right)\:+\mathrm{o}\left(\mathrm{x}^{\mathrm{2}} \right)\:\Rightarrow \\ $$$$\frac{\mathrm{e}^{\pi\mathrm{xln3}}…
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Question Number 107122 by aurpeyz last updated on 08/Aug/20 Answered by 1549442205PVT last updated on 09/Aug/20 $$\mathrm{Denote}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{be}\:\mathrm{number}\:\mathrm{of}\:\mathrm{persons}\:\mathrm{get} \\ $$$$\mathrm{medal}\:\mathrm{in}\:\mathrm{only}\:\mathrm{one}\:\mathrm{category} \\ $$$$\mathrm{dance},\mathrm{dramatics},\mathrm{music}\:\mathrm{respectively} \\ $$$$\mathrm{m}−\mathrm{be}\:\mathrm{number}\:\mathrm{of}\:\mathrm{persons}\:\mathrm{got} \\ $$$$\mathrm{exactly}\:\mathrm{medal}\:\mathrm{in}\:\mathrm{two}\:\mathrm{categories}\:\mathrm{dance}…
Question Number 172662 by SANOGO last updated on 29/Jun/22 Answered by Mathspace last updated on 29/Jun/22 $$\left.{a}\right)\:\Delta\left({x},{y}\right)=\frac{{xy}}{{M}\left({x},{y}\right)}=\frac{\mathrm{1512}}{\mathrm{252}}=\mathrm{6} \\ $$$${x}={pd}\:{and}\:{y}={qd}\:\:{with}\left({p},{d}\right)=\mathrm{1} \\ $$$${x}+{y}=\mathrm{1512}\:\Rightarrow{d}\left({p}+{q}\right)=\mathrm{1512} \\ $$$$\Rightarrow{p}+{q}=\frac{\mathrm{1512}}{\mathrm{6}}=\mathrm{252} \\ $$$$\Rightarrow\left({p},{q}\right)\in\left\{\left(\mathrm{1},\mathrm{251}\right),\left(\mathrm{2},\mathrm{250}\right),\left(\mathrm{3},\mathrm{249}\right)…\left(\mathrm{251},\mathrm{1}\right)\right\}…
Question Number 107123 by aurpeyz last updated on 08/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 107102 by mathdave last updated on 08/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com