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Question Number 153105 Answers: 1 Comments: 0
$${find}\:\:\boldsymbol{{ln}}\:\boldsymbol{\Gamma}\left(\boldsymbol{{x}}\right)\:? \\ $$
Question Number 153103 Answers: 1 Comments: 0
$$\frac{\mathrm{1}}{\mathrm{2}\centerdot\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}\centerdot\mathrm{5}\centerdot\mathrm{6}}+\frac{\mathrm{1}}{\mathrm{7}\centerdot\mathrm{8}\centerdot\mathrm{9}}+\ldots \\ $$
Question Number 153082 Answers: 1 Comments: 0
Question Number 153079 Answers: 1 Comments: 1
$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\sqrt{\mathrm{1}-\boldsymbol{{z}}}\:=\:\mathrm{2}\boldsymbol{{z}}^{\mathrm{2}} \:-\:\mathrm{1}\:+\:\mathrm{2}\boldsymbol{{z}}\:\sqrt{\mathrm{1}-\boldsymbol{{z}}^{\mathrm{2}} } \\ $$
Question Number 153070 Answers: 3 Comments: 0
$$\:\:\:{Find}\:{the}\:{solution}\:{set}\:{of}\:{inequality} \\ $$$$\:\:\:\:\:\:\:\sqrt{\mathrm{3}{x}+\mathrm{4}}\:\geqslant\:{x}β\mathrm{2}\: \\ $$
Question Number 153057 Answers: 1 Comments: 0
Question Number 153056 Answers: 0 Comments: 0
Question Number 153055 Answers: 0 Comments: 0
Question Number 153054 Answers: 1 Comments: 0
Question Number 153053 Answers: 0 Comments: 0
Question Number 153063 Answers: 0 Comments: 5
$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{show}\:\mathrm{that} \\ $$$$\: \\ $$$$\:\:\:\:\:\int_{β\infty} ^{\:\infty} \:\frac{\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}\:\:{dx} \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\mathrm{is}\:\mathrm{unsolvable} \\ $$$$\: \\ $$
Question Number 153050 Answers: 1 Comments: 0
Question Number 153046 Answers: 2 Comments: 1
Question Number 153041 Answers: 3 Comments: 0
$$\mathrm{A}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{vertically}\:\mathrm{upwards} \\ $$$$\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{10}\:{ms}^{β\mathrm{1}} \:\mathrm{from}\:\mathrm{a}\:\mathrm{point} \\ $$$$\mathrm{75}{m}\:\mathrm{above}\:\mathrm{the}\:\mathrm{ground}.\:\mathrm{How}\:\mathrm{long}\:\mathrm{will} \\ $$$$\mathrm{it}\:\mathrm{take}\:\mathrm{the}\:\mathrm{ball}\:\mathrm{to}\:\mathrm{strike}\:\mathrm{the}\:\mathrm{ground}? \\ $$
Question Number 153040 Answers: 0 Comments: 0
$$ \\ $$$$\:{prove}\:{that}.. \\ $$$$ \\ $$$$\Omega\:=\int_{\mathrm{0}} ^{\:\infty} \frac{\:{sin}\:\left({x}\:\right)}{{sinh}\left({x}\right)}{dx}\:=\frac{\pi}{\mathrm{2}}\:{tanh}\:\left(\frac{\pi}{\mathrm{2}}\right)\:\: \\ $$
Question Number 153039 Answers: 1 Comments: 0
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}\left({e}^{{x}} +\mathrm{1}\right)β\mathrm{2}\left({e}^{{x}} β\mathrm{1}\right)}{{x}^{\mathrm{3}} }\:=\:? \\ $$
Question Number 153038 Answers: 1 Comments: 0
Question Number 153033 Answers: 2 Comments: 0
$${y}=\mathrm{log}\:\left(\mathrm{1}+\mathrm{cos}\:{x}\right) \\ $$$$\frac{{dy}}{{dx}}= \\ $$
Question Number 153030 Answers: 0 Comments: 0
Question Number 153108 Answers: 1 Comments: 0
$$\int\frac{\mathrm{d}\theta}{\mathrm{sin}\:^{\mathrm{2}} \theta\left(\mathrm{3}β\mathrm{sin}\:\theta\right)} \\ $$
Question Number 153109 Answers: 0 Comments: 1
$$\int\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{2}\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}β\mathrm{4}}} \\ $$
Question Number 153019 Answers: 0 Comments: 0
$$\mathrm{Determine}\:\mathrm{all}\:\mathrm{functions}\:\:\mathrm{f}:\mathbb{R}\rightarrow\left(\mathrm{1};+\infty\right) \\ $$$$\mathrm{continuous}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{f}\left(\mathrm{4x}\right)\:\centerdot\:\mathrm{f}\left(\mathrm{3x}\right)\:=\:\mathrm{2}^{\boldsymbol{\mathrm{x}}} \:\:;\:\:\forall\mathrm{x}\in\mathbb{R} \\ $$
Question Number 153016 Answers: 1 Comments: 2
$$\int_{\mathrm{0}} ^{\mathrm{2}} \mathrm{xe}^{\mathrm{4}β\mathrm{x}^{\mathrm{2}} } \mathrm{dx} \\ $$
Question Number 153012 Answers: 0 Comments: 1
$$\:{Find}\:{all}\:{ordered}\:{pairs}\:{of}\:{real}\: \\ $$$$\:{numbers}\:\left({x},{y}\right)\:{for}\:{which} \\ $$$$\:\:\begin{cases}{\left(\mathrm{1}+{x}^{\mathrm{4}} \right)\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}\right)=\mathrm{1}+{y}^{\mathrm{7}} }\\{\left(\mathrm{1}+{y}^{\mathrm{4}} \right)\left(\mathrm{1}+{y}^{\mathrm{2}} \right)\left(\mathrm{1}+{y}\right)=\mathrm{1}+{x}^{\mathrm{7}} }\end{cases} \\ $$
Question Number 153009 Answers: 3 Comments: 2
$${montrer}\:{que}: \\ $$$$\mathrm{2}{cos}\frac{\pi}{\mathrm{2}^{{n}} }=\sqrt{\mathrm{2}\:+\sqrt{\mathrm{2}+...+\sqrt{\mathrm{2}}}} \\ $$$$ \\ $$
Question Number 153006 Answers: 1 Comments: 8
$${prove}\:{that}\: \\ $$$$\mathrm{4}!!=\mathrm{8} \\ $$$${please}\:{help} \\ $$
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