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AllQuestion and Answers: Page 17
Question Number 223700 Answers: 1 Comments: 0
$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$
Question Number 223899 Answers: 0 Comments: 0
Question Number 223896 Answers: 0 Comments: 2
Question Number 223875 Answers: 0 Comments: 1
Question Number 223905 Answers: 1 Comments: 4
$${ABCD}\:{is}\:{a}\:{square} \\ $$$${EL}={LF} \\ $$$${FN}={ND} \\ $$$${O}\:{is}\:{the}\:{center}\:{of}\:{square} \\ $$$${Prove}\:{that}\:{points}\:{K},\:{L},\:{O},\:{N}\:{and}\:{C}\:{are}\:{concyclic} \\ $$
Question Number 223685 Answers: 1 Comments: 0
$$\mathrm{25}^{{x}} −\mathrm{8}.\mathrm{5}^{{x}} =−\mathrm{16} \\ $$
Question Number 223673 Answers: 1 Comments: 0
Question Number 223666 Answers: 2 Comments: 0
Question Number 223655 Answers: 3 Comments: 4
Question Number 223653 Answers: 1 Comments: 1
Question Number 223636 Answers: 0 Comments: 0
$$\mathrm{Factor}\:\mathrm{the}\:\mathrm{following}\:\mathrm{expression}: \\ $$$$\left(\sqrt[{\mathrm{5}}]{\mathrm{arctan}\left({x}^{\mathrm{5}} +\mathrm{1}\right)}\right)^{{x}^{−{x}^{\mathrm{2}} } } \\ $$
Question Number 223631 Answers: 2 Comments: 1
Question Number 223626 Answers: 1 Comments: 6
$$\begin{cases}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{xy}=\mathrm{25}}\\{{y}^{\mathrm{2}} +{z}^{\mathrm{2}} +{yz}=\mathrm{49}}\\{{z}^{\mathrm{2}} +{x}^{\mathrm{2}} +{zx}=\mathrm{64}}\end{cases} \\ $$$$\left({x}+{y}+{z}\right)^{\mathrm{2}} −\mathrm{100}=?? \\ $$
Question Number 223619 Answers: 2 Comments: 0
Question Number 223615 Answers: 3 Comments: 0
$$\mathrm{40}^{{x}−\mathrm{1}} =\mathrm{2}^{\mathrm{2}{x}+\mathrm{1}} \\ $$
Question Number 223595 Answers: 1 Comments: 1
Question Number 223591 Answers: 1 Comments: 12
Question Number 223585 Answers: 1 Comments: 1
Question Number 223580 Answers: 3 Comments: 0
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}\:} \:\frac{{e}^{−\boldsymbol{{r}}^{\mathrm{2}} } \boldsymbol{\mathrm{sin}}\left(\mathrm{1}/\boldsymbol{{r}}^{\mathrm{2}} \right)\boldsymbol{\mathrm{ln}}\left(\boldsymbol{{r}}+\mathrm{1}\right)}{\boldsymbol{{r}}^{\mathrm{2}} }\:\boldsymbol{\mathrm{d}{r}} \\ $$$$ \\ $$
Question Number 223571 Answers: 2 Comments: 0
$$\mathrm{S}_{\mathrm{1}} \:=\:\mathrm{1}\centerdot\mathrm{1}!\:+\:\mathrm{2}\centerdot\mathrm{2}!\:+\:\mathrm{3}\centerdot\mathrm{3}!\:+...+\:\mathrm{16}\centerdot\mathrm{16}! \\ $$$$\mathrm{S}_{\mathrm{2}} \:=\:\mathrm{1}\centerdot\mathrm{1}!\:+\:\mathrm{2}\centerdot\mathrm{2}!\:+\:\mathrm{3}\centerdot\mathrm{3}!\:+...+\:\mathrm{14}\centerdot\mathrm{14}! \\ $$$$\mathrm{Find}:\:\:\:\frac{\mathrm{S}_{\mathrm{1}} }{\mathrm{S}_{\mathrm{2}} }\:=\:? \\ $$
Question Number 223560 Answers: 0 Comments: 15
Question Number 223570 Answers: 0 Comments: 0
$${demontrer}\:{que}\:{quelque}\:{soit}\:{k}\:{appartenant}\:{N}\:\:{l} \\ $$
Question Number 223569 Answers: 3 Comments: 0
Question Number 223553 Answers: 1 Comments: 1
$${the}\:{length}\:{of}\:\mathrm{3}\:{meadians}\:{of}\:{a}\:{triangle}\:{is}\:{given} \\ $$$${how}\:{to}\:{calculate}\:{the}\:{area}? \\ $$
Question Number 223544 Answers: 1 Comments: 1
Question Number 223538 Answers: 2 Comments: 0
$${x}+{y}=\mathrm{36} \\ $$$${xy}_{{max}} =?? \\ $$
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