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Question Number 71147 Answers: 2 Comments: 1
Question Number 71146 Answers: 1 Comments: 1
$$\mathrm{sin}\:\alpha=\frac{\mathrm{12}}{\mathrm{13}}\:\:\mathrm{and}\:\alpha\:\mathrm{is}\:\mathrm{in}\:\mathrm{the}\:\mathrm{2nd}\:\mathrm{quadrent}. \\ $$$$\mathrm{prove}\:\mathrm{cos}\:\alpha=−\frac{\mathrm{5}}{\mathrm{13}} \\ $$
Question Number 71143 Answers: 0 Comments: 1
$${let}\:\:{A}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:{calculate}\:{A}_{{n}} \:{interms}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$
Question Number 71142 Answers: 0 Comments: 1
$${find}\:\int\sqrt{{x}\left({x}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)}{dx} \\ $$
Question Number 71141 Answers: 0 Comments: 6
$$\left(\mathrm{2}{x}\right)^{{x}} =\frac{\mathrm{1}}{\mathrm{16}} \\ $$
Question Number 71134 Answers: 1 Comments: 0
$${if}\:{a},\:{b}\:{and}\:{c}\:{are}\:{positive},\:{find}: \\ $$$$\left(\frac{{a}}{{b}}\right)^{{log}_{\mathrm{10}} {c}} ×\left(\frac{{b}}{{c}}\right)^{{log}_{\mathrm{10}} {a}} ×\left(\frac{{c}}{{a}}\right)^{{log}_{\mathrm{10}} {b}} \\ $$$$ \\ $$
Question Number 71117 Answers: 0 Comments: 0
Question Number 71114 Answers: 0 Comments: 0
Question Number 71096 Answers: 1 Comments: 0
Question Number 71091 Answers: 0 Comments: 3
Question Number 71115 Answers: 1 Comments: 0
Question Number 71089 Answers: 1 Comments: 0
$$\left(\sqrt{\sqrt{\mathrm{2}}−\mathrm{1}}\right)^{\mathrm{x}} +\left(\sqrt{\sqrt{\mathrm{2}}+\mathrm{1}}\right)^{\mathrm{x}} =\mathrm{4} \\ $$
Question Number 71082 Answers: 2 Comments: 0
$${prove}\:{that}\: \\ $$$$ \\ $$$$\mid\:\sqrt{\mid{x}\mid}\:−\:\sqrt{\mid{y}\mid}\:\mid\:\leqslant\:\sqrt{\mid{x}−{y}\mid}\: \\ $$$$ \\ $$
Question Number 71073 Answers: 3 Comments: 4
Question Number 71054 Answers: 0 Comments: 2
Question Number 71053 Answers: 1 Comments: 1
Question Number 71052 Answers: 0 Comments: 2
Question Number 71051 Answers: 0 Comments: 2
Question Number 71050 Answers: 1 Comments: 1
Question Number 71049 Answers: 0 Comments: 2
Question Number 71047 Answers: 0 Comments: 1
Question Number 71046 Answers: 0 Comments: 1
Question Number 71045 Answers: 0 Comments: 1
Question Number 71034 Answers: 0 Comments: 6
Question Number 71016 Answers: 2 Comments: 0
$$\boldsymbol{\mathrm{ln}}\:\left(\boldsymbol{{e}}+\boldsymbol{\mathrm{ln}}\:\left(\boldsymbol{{e}}+\boldsymbol{\mathrm{ln}}\:\left(\boldsymbol{{e}}+...\right)\right)\right)=? \\ $$
Question Number 71014 Answers: 0 Comments: 0
$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left({x}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)} {dx} \\ $$
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