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AllQuestion and Answers: Page 12
Question Number 223908 Answers: 1 Comments: 0
Question Number 223901 Answers: 1 Comments: 2
Question Number 223889 Answers: 0 Comments: 2
Question Number 223887 Answers: 0 Comments: 2
Question Number 223881 Answers: 2 Comments: 0
Question Number 223865 Answers: 1 Comments: 1
Question Number 223858 Answers: 1 Comments: 0
Question Number 223851 Answers: 1 Comments: 0
Question Number 223847 Answers: 3 Comments: 1
Question Number 223839 Answers: 0 Comments: 0
$$\int_{\mathrm{0}} ^{\:\infty} \:\:\left[\mathrm{Struve}\boldsymbol{\mathrm{H}}_{−\frac{\mathrm{1}}{\mathrm{2}}} ^{\:^{\:^{\:} } } \left({z}\right)−\mathrm{Bessel}{Y}_{−\frac{\mathrm{1}}{\mathrm{2}}} \left({z}\right)\right]\:\mathrm{d}{z}=?? \\ $$
Question Number 223836 Answers: 1 Comments: 0
Question Number 223826 Answers: 2 Comments: 1
Question Number 223823 Answers: 3 Comments: 0
$$\sqrt{\mathrm{4}{x}+\mathrm{1}}+\sqrt{\mathrm{3}{x}−\mathrm{2}}=\mathrm{1} \\ $$$${x}=? \\ $$
Question Number 223822 Answers: 2 Comments: 0
$$\left(\left(\frac{\mathrm{4}}{\mathrm{3}}\right)^{\frac{\mathrm{4}}{\mathrm{3}}} \right) \\ $$$$\:{Rewrite}\:{in}\:{simplest}\:{radical}\:{form} \\ $$
Question Number 223821 Answers: 0 Comments: 0
$$\underset{\nu\rightarrow\alpha} {\mathrm{lim}}\:\frac{{J}_{−\nu−\frac{\mathrm{1}}{\mathrm{2}}} \left({z}\right)+{e}^{\boldsymbol{{i}}\pi\nu} \centerdot{Y}_{\nu+\frac{\mathrm{1}}{\mathrm{2}}} \left({z}\right)}{{Y}_{−\nu−\frac{\mathrm{1}}{\mathrm{2}}} \left({z}\right)−{e}^{\boldsymbol{{i}}\pi\nu} \centerdot{J}_{\nu+\frac{\mathrm{1}}{\mathrm{2}}} \left({z}\right)}=?? \\ $$$$\alpha\in\mathbb{Z}\: \\ $$
Question Number 223812 Answers: 1 Comments: 1
Question Number 223804 Answers: 0 Comments: 3
Question Number 223801 Answers: 0 Comments: 1
$$\mathrm{sorry}\:\:\mathrm{i}\:\mathrm{mean}\:{p}_{{h}} \in\mathbb{P}\:\left(\mathrm{prime}\:\mathrm{set}\right) \\ $$$$\underset{{h}\rightarrow\infty} {\mathrm{lim}}\:\frac{{p}_{{h}+\mathrm{1}} }{{p}_{{h}} }=?? \\ $$
Question Number 223800 Answers: 1 Comments: 0
$$\:\mathrm{Given}\:\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{14x}+\mathrm{40}}{\mathrm{g}\left(\mathrm{x}\right)}−\mathrm{43} \\ $$$$\:\mathrm{h}\left(\mathrm{x}\right)=\:\frac{\mathrm{g}\left(\mathrm{x}\right)+\mathrm{51}}{\mathrm{x}+\mathrm{4}} \\ $$$$\:\mathrm{m}\left(\mathrm{x}\right)=\:\frac{\mathrm{h}\left(\mathrm{x}\right)−\mathrm{9}}{\mathrm{x}−\mathrm{2}}\:,\:\mathrm{x}\neq\mathrm{2} \\ $$$$\:\mathrm{m}\left(\mathrm{2}\right)=\:\mathrm{2043}.\: \\ $$$$\:\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{divided}\:\mathrm{by}\:\mathrm{x}^{\mathrm{2}} +\mathrm{8x}−\mathrm{20}\: \\ $$$$\:\mathrm{gives}\:\mathrm{remainder}\:\mathrm{is}\:\mathrm{M}\left(\mathrm{x}\right)=\mathrm{ax}+\mathrm{b} \\ $$$$\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{M}\left(\mathrm{98}\right)=?\: \\ $$
Question Number 223786 Answers: 0 Comments: 4
$$ \\ $$$$\:\:\:\:\boldsymbol{\mathrm{Evaluate}}\:;\:\int\:\sqrt{\:\boldsymbol{\mathrm{tan}}\:\boldsymbol{{x}}}\:\boldsymbol{\mathrm{d}{x}}\:,\:\boldsymbol{\mathrm{Using}}\:\boldsymbol{\mathrm{feynman}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{trick}} \\ $$$$ \\ $$
Question Number 223783 Answers: 2 Comments: 1
Question Number 223779 Answers: 1 Comments: 0
Question Number 223778 Answers: 1 Comments: 0
$$\underset{{N}\rightarrow\infty} {\mathrm{lim}}\:\frac{{p}_{{N}+\mathrm{1}} }{{p}_{{N}} }=???\:\:,\:{p}_{\mathrm{1}} =\mathrm{2}\:,\:{p}_{\mathrm{2}} =\mathrm{3}\:,{p}_{\mathrm{3}} =\mathrm{5}\:.... \\ $$
Question Number 223741 Answers: 2 Comments: 1
Question Number 223735 Answers: 0 Comments: 0
$$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{all}}\:\:{n}\:\in\:\mathbb{Z}\:, \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{Show}}\:\boldsymbol{\mathrm{that}}\:\tau\:\left(\:\varphi\:\left(\:{n}\:\right)\right)\:\geqslant\:\varphi\:\left(\tau\:\left({n}\:\right)\right) \\ $$$$ \\ $$
Question Number 223734 Answers: 1 Comments: 0
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