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Question Number 31671 Answers: 0 Comments: 0
$$\mathrm{let}\:{f}\:\mathrm{diferensiabel}\:\mathrm{on}\:\mathrm{continues} \\ $$$${x}={a}\:\mathrm{and}\:{f}\left({a}\right)\neq\:\mathrm{0} \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left[\frac{{f}\left({a}+\frac{\mathrm{1}}{{n}}\right)}{{f}\left({a}\right)}\right]^{{n}} \\ $$$$\mathrm{value}\:\mathrm{is}\:? \\ $$
Question Number 31670 Answers: 1 Comments: 0
$$\mathrm{how}\:\mathrm{many}\:\mathrm{roots}\:\mathrm{from}\:\mathrm{equation} \\ $$$${ae}^{{x}} =\mathrm{1}+{x}+\frac{{x}^{\mathrm{2}} }{\mathrm{2}} \\ $$$${from}\:{a}>\mathrm{0}\:? \\ $$
Question Number 31669 Answers: 0 Comments: 0
$$\mathrm{A}=\left\{\frac{{m}}{{n}}+\frac{\mathrm{8}{n}}{{m}}\::\:{m},\:{n}\:\in\:\mathrm{N}\right\}\:\mathrm{N}=\:\mathrm{natural}\:\mathrm{numbers} \\ $$$$\mathrm{supremum}\:? \\ $$$$\mathrm{infimum}? \\ $$
Question Number 31666 Answers: 1 Comments: 0
$${ABCD}\:{is}\:{parallelogram}\:{in}\:{whic} \\ $$$${h}\:{AB}\:={AD}\:=\mathrm{10}{cm},{B}\overset{\Lambda} {{A}D}=\mathrm{60}^{°} . \\ $$$${calculate}\:{the}\:{area}\:{of}\:{parallelogr} \\ $$$${m}. \\ $$
Question Number 32371 Answers: 2 Comments: 1
$$−\mathrm{1}\langle{x}\langle\mathrm{0} \\ $$$$\sqrt{{x}^{\mathrm{2}} }−\sqrt{\left({x}+\frac{\mathrm{1}}{{x}}\right)^{\mathrm{2}} −\mathrm{4}}=−\mathrm{2}{x}+\frac{\mathrm{1}}{{x}} \\ $$$${Why}? \\ $$
Question Number 31648 Answers: 0 Comments: 0
Question Number 31642 Answers: 0 Comments: 1
$$\sim\:\mathrm{Equivalence}\:\mathrm{relation} \\ $$$$ \\ $$$$\left(\mathrm{a}\sim\mathrm{b}\:\&\:\mathrm{c}\nsim\mathrm{b}\right)\Rightarrow\mathrm{c}\nsim\mathrm{a} \\ $$$$\mathrm{True}\:\mathrm{or}\:\mathrm{false}\:\mathrm{and}\:\mathrm{why} \\ $$
Question Number 31639 Answers: 1 Comments: 0
Question Number 31628 Answers: 0 Comments: 5
$${Systems}\:{of}\:{particles}\:{doubt} \\ $$
Question Number 31626 Answers: 1 Comments: 0
Question Number 31620 Answers: 0 Comments: 0
Question Number 31619 Answers: 1 Comments: 0
Question Number 31611 Answers: 2 Comments: 1
Question Number 31596 Answers: 2 Comments: 2
Question Number 31595 Answers: 2 Comments: 2
Question Number 31594 Answers: 1 Comments: 0
Question Number 31591 Answers: 1 Comments: 4
Question Number 31584 Answers: 1 Comments: 0
Question Number 31583 Answers: 0 Comments: 0
$${how}\:{to}\:{read}\:{this}\:\langle{x}\rangle.\:{p} \\ $$
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
$$\mathrm{If}\:{f}\left({x}\right)\:\mathrm{and}\:\:{g}\left({x}\right)\:\mathrm{are}\:\mathrm{two}\:\mathrm{integrable} \\ $$$$\mathrm{functions}\:\mathrm{defined}\:\mathrm{on}\:\left[{a},\:{b}\right],\:\mathrm{then} \\ $$$$\mid\:\underset{{a}} {\overset{{b}} {\int}}\:{f}\left({x}\right)\:{g}\left({x}\right)\:{dx}\:\mid\:\:\:\mathrm{is} \\ $$
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