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AllQuestion and Answers: Page 1774
Question Number 31620 Answers: 0 Comments: 0
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Question Number 31595 Answers: 2 Comments: 2
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Question Number 31591 Answers: 1 Comments: 4
Question Number 31584 Answers: 1 Comments: 0
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$${how}\:{to}\:{read}\:{this}\:\langle{x}\rangle.\:{p} \\ $$
Question Number 31579 Answers: 1 Comments: 0
$$\mathrm{Let}\:{a}\:\mathrm{and}\:{b}\:\mathrm{be}\:\mathrm{an}\:\mathrm{integer}\:\mathrm{part}\:\mathrm{and}\:\mathrm{a}\:\mathrm{decimal} \\ $$$$\mathrm{fraction}\:\mathrm{of}\:\sqrt{\mathrm{7}},\:\mathrm{respectively}.\:\mathrm{Then}\:\mathrm{the}\:\mathrm{integer} \\ $$$$\mathrm{part}\:\mathrm{of}\:\frac{{a}}{{b}}\:\mathrm{is}? \\ $$
Question Number 31573 Answers: 0 Comments: 1
Question Number 31572 Answers: 1 Comments: 0
Question Number 31571 Answers: 2 Comments: 0
Question Number 31569 Answers: 1 Comments: 0
$$\left({a},\frac{\mathrm{1}}{{a}}\right),\left({b},\frac{\mathrm{1}}{{b}}\right),\left({c},\frac{\mathrm{1}}{{c}}\right),\left({d},\frac{\mathrm{1}}{{d}}\right)\:{are}\:{four} \\ $$$${distinct}\:{points}\:{on}\:{a}\:{circle}\:{of}\:{radius} \\ $$$${is}\:\mathrm{4}\:{units}\:{then}\:{abcd}\:{is}\:{equal}\:{to}\:? \\ $$
Question Number 31566 Answers: 1 Comments: 1
Question Number 31564 Answers: 0 Comments: 1
$$\mathrm{If}\:{f}\left({x}\right)\:\mathrm{and}\:\:{g}\left({x}\right)\:\mathrm{are}\:\mathrm{two}\:\mathrm{integrable} \\ $$$$\mathrm{functions}\:\mathrm{defined}\:\mathrm{on}\:\left[{a},\:{b}\right],\:\mathrm{then} \\ $$$$\mid\:\underset{{a}} {\overset{{b}} {\int}}\:{f}\left({x}\right)\:{g}\left({x}\right)\:{dx}\:\mid\:\:\:\mathrm{is} \\ $$
Question Number 31562 Answers: 1 Comments: 0
Question Number 31560 Answers: 1 Comments: 1
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Question Number 31549 Answers: 1 Comments: 0
$${witout}\:{using}\:{calculator},\:{simpify} \\ $$$${cos}\mathrm{22}.\mathrm{5}° \\ $$
Question Number 31548 Answers: 1 Comments: 0
$${simplify}\:{cosx}\:+\:\sqrt{\mathrm{3}}{sinx}\:{as}\:{a}\: \\ $$$${single}\:{trigonometry}\:{ratio} \\ $$
Question Number 31546 Answers: 1 Comments: 0
$${let}\:{consider}\:{the}\:{numrtical}\:{function} \\ $$$${f}\left({x}\right)=\:\frac{\mathrm{1}}{{x}^{\mathrm{2}} \:+{x}+\mathrm{1}}\:\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right)\:{then}\:{give} \\ $$$${f}^{\left({n}\right)} \left(\mathrm{0}\right). \\ $$
Question Number 31543 Answers: 0 Comments: 2
$$\int\frac{{x}^{\mathrm{3}} +{x}+\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx} \\ $$$$ \\ $$$$ \\ $$
Question Number 31542 Answers: 0 Comments: 0
$${let}\:{p}\left({x}\right)=\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} \right)^{{n}} \:−\left(\mathrm{1}−{x}+{x}^{\mathrm{2}} \right)^{{n}} \:\in{C}\left[{x}\right] \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{p}\left({x}\right)\:{inside}\:{C}\left[{x}\right]. \\ $$
Question Number 31538 Answers: 1 Comments: 0
$$\mathrm{If}\:{f}\left({x}\right)=\:{a}\:{e}^{\mathrm{2}{x}} +{b}\:{e}^{{x}} +{cx}\:\mathrm{satisfies}\:\mathrm{the} \\ $$$$\mathrm{condition}\:{f}\left(\mathrm{0}\right)=\:−\mathrm{1},\:{f}\:'\left(\mathrm{log}\:\mathrm{2}\right)=\mathrm{31}, \\ $$$$\:\underset{\:\mathrm{0}} {\overset{\mathrm{log}\:\mathrm{4}} {\int}}\left({f}\left({x}\right)−{cx}\right)\:{dx}\:=\:\frac{\mathrm{39}}{\mathrm{2}},\:\mathrm{then} \\ $$
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