Question Number 75623 by liki last updated on 14/Dec/19 Commented by liki last updated on 14/Dec/19 $$…\boldsymbol{{Please}}\:\boldsymbol{{anyone}}\:\boldsymbol{{to}}\:\boldsymbol{{help}}\:\boldsymbol{{me}}\:\boldsymbol{{this}}\:\boldsymbol{{Qn}}\:! \\ $$ Answered by $@ty@m123 last updated on…
Question Number 141153 by iloveisrael last updated on 16/May/21 Answered by iloveisrael last updated on 16/May/21 Commented by SamuelAsaana last updated on 16/May/21 $${i}\:{donot}\:{underdtand}\:{sir}\:{please}\:{explain}\:{for}\:{for}\:{me} \\…
Question Number 75618 by peter frank last updated on 13/Dec/19 Commented by mind is power last updated on 13/Dec/19 $$\mathrm{use}\:\mathrm{x}+\mathrm{y}\geqslant\mathrm{2}\sqrt{\mathrm{xy}} \\ $$$$\left(\mathrm{a}+\mathrm{b}\right)\geqslant\mathrm{2}\sqrt{\mathrm{ab}},\left(\mathrm{a}+\mathrm{c}\right)\geqslant\mathrm{2}\sqrt{\mathrm{ac}},\mathrm{c}+\mathrm{a}\geqslant\mathrm{2}\sqrt{\mathrm{ca}} \\ $$$$\Rightarrow\left(\mathrm{a}+\mathrm{b}\right)\left(\mathrm{b}+\mathrm{c}\right)\left(\mathrm{c}+\mathrm{a}\right)\geqslant\mathrm{2}\sqrt{\mathrm{ab}}.\mathrm{2}\sqrt{\mathrm{bc}}.\mathrm{2}\sqrt{\mathrm{ac}}=\mathrm{8abc} \\…
Question Number 141152 by ZiYangLee last updated on 16/May/21 $$\begin{pmatrix}{\mathrm{3}}&{\mathrm{5}}\\{\mathrm{2}}&{\mathrm{4}}\end{pmatrix}\begin{pmatrix}{{x}}\\{{y}}\end{pmatrix}=\begin{pmatrix}{{x}'}\\{{y}'}\end{pmatrix}\:\mathrm{and}\:\begin{pmatrix}{{a}}&{{b}}\\{{c}}&{{d}}\end{pmatrix}\begin{pmatrix}{{x}'}\\{{y}'}\end{pmatrix}=\begin{pmatrix}{{x}}\\{{y}}\end{pmatrix} \\ $$$$\mathrm{are}\:\mathrm{true}\:\mathrm{for}\:\mathrm{any}\:\mathrm{values}\:\mathrm{of}\:{x},{y},{x}',{y}', \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:{a},{b},{c},{d}. \\ $$ Answered by iloveisrael last updated on 16/May/21 $$\Rightarrow\begin{pmatrix}{\mathrm{3}\:\:\:\:\mathrm{5}}\\{\mathrm{2}\:\:\:\:\mathrm{4}}\end{pmatrix}\:\begin{pmatrix}{{a}\:\:\:\:{b}}\\{{c}\:\:\:\:{d}}\end{pmatrix}\:\begin{pmatrix}{{x}'}\\{{y}'}\end{pmatrix}\:=\:\begin{pmatrix}{{x}'}\\{{y}'}\end{pmatrix} \\…
Question Number 10082 by konen last updated on 23/Jan/17 $$\frac{\mathrm{x}}{\mathrm{6}}=\frac{\mathrm{y}}{\mathrm{4}}=\frac{\mathrm{z}}{\mathrm{k}}=\mathrm{k} \\ $$$$\mathrm{x}+\mathrm{y}+\mathrm{z}=−\mathrm{25} \\ $$$$\mathrm{k}=? \\ $$ Commented by ridwan balatif last updated on 23/Jan/17 $$\mathrm{x}+\mathrm{y}+\mathrm{z}=−\mathrm{25}…
Question Number 75616 by mr W last updated on 13/Dec/19 $${A}_{\mathrm{1}} =\mathrm{2} \\ $$$${B}_{\mathrm{1}} =\mathrm{1} \\ $$$${A}_{{n}+\mathrm{1}} ={A}_{{n}} −\mathrm{8}{B}_{{n}} \\ $$$${B}_{{n}+\mathrm{1}} ={A}_{{n}} +\mathrm{7}{B}_{{n}} \\ $$$${find}\:{A}_{{n}}…
Question Number 75617 by mathocean1 last updated on 13/Dec/19 $$\left.\mathrm{Demonstrate}\:\mathrm{that}\:\forall\:\mathrm{x}\:\in\right]\mathrm{0};\frac{\pi}{\mathrm{2}}\left[\right. \\ $$$$\mathrm{tanx}=\frac{\mathrm{1}−\mathrm{cos}\left(\mathrm{2x}\right)}{\mathrm{sin}\left(\mathrm{2x}\right)} \\ $$ Commented by mind is power last updated on 13/Dec/19 $$\mathrm{use}\:\mathrm{cos}\left(\mathrm{2x}\right)=\mathrm{1}−\mathrm{2sin}^{\mathrm{2}} \left(\mathrm{x}\right)…
Question Number 141149 by Dan last updated on 16/May/21 $${lim}_{{x}\rightarrow\infty} \underset{{i}=\mathrm{0}} {\overset{{x}−\mathrm{1}} {\sum}}\frac{{x}}{\left({x}+{i}\right)} \\ $$ Answered by mr W last updated on 16/May/21 $$\frac{{x}}{{x}+{x}}<\frac{{x}}{{x}+{i}}<\frac{{x}}{{x}} \\…
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