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Question Number 46680 Answers: 1 Comments: 0
Question Number 46674 Answers: 1 Comments: 0
$${why}\:{slope}\:{is}\:{represented}\:{by}\:{m} \\ $$
Question Number 46673 Answers: 0 Comments: 5
Question Number 46667 Answers: 0 Comments: 1
$${integrate}\:\mathrm{ln}\:\left({cosx}+{sinx}\right){dx} \\ $$
Question Number 46657 Answers: 1 Comments: 0
$${integrte}\:\mathrm{sin}^{−\mathrm{1}} {x} \\ $$
Question Number 46652 Answers: 1 Comments: 0
$$\mathrm{2}\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}+\mathrm{5}\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}−\mathrm{2}=\mathrm{3} \\ $$$$\mathrm{could}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me} \\ $$
Question Number 46651 Answers: 1 Comments: 0
$$\mathrm{3}\frac{\mathrm{8}}{\mathrm{19}}−\mathrm{2x}=\mathrm{1}\frac{\mathrm{6}}{\mathrm{19}} \\ $$$$\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$
Question Number 46640 Answers: 0 Comments: 1
$$\mathrm{1}\leqslant{n},{m}\in\mathbb{N}.\:{Prove}\:{that} \\ $$$$\mathrm{3}\left({m}+{n}\right)+\mathrm{10ln}\:\left({m}!{n}!\right)\geqslant\mathrm{6}\sqrt{{mnH}_{{m}} {H}_{{n}} }. \\ $$$$\left({H}_{{m}} =\underset{{i}=\mathrm{1}} {\overset{{m}} {\sum}}\frac{\mathrm{1}}{{i}},\:{H}_{{n}} =\underset{{j}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{j}}\right) \\ $$
Question Number 46639 Answers: 1 Comments: 2
Question Number 46641 Answers: 0 Comments: 1
Question Number 46637 Answers: 2 Comments: 3
Question Number 46636 Answers: 1 Comments: 0
$$\mathrm{tan}\:\theta=\mathrm{10tan60}^{°} \\ $$
Question Number 46631 Answers: 0 Comments: 1
Question Number 46629 Answers: 1 Comments: 0
$${An}\:{object}\:{is}\:{projected}\:{from}\:{a} \\ $$$${height}\:{of}\:\mathrm{80}{m}\:{above}\:{the}\:{ground} \\ $$$${with}\:{a}\:{velocity}\:{of}\:\mathrm{40}{m}/{s}\:{at}\:{an} \\ $$$${angle}\:{of}\:\mathrm{30}\:{degree}\:{to}\:{the} \\ $$$${horizontal}.{What}\:{is}\:{the}\:{tume}\:{of} \\ $$$${flight}? \\ $$
Question Number 46624 Answers: 1 Comments: 4
$${The}\:{value}\:{of}\:{k}\:{which}\:{minimizes} \\ $$$${F}\left({k}\right)=\:\int_{\mathrm{0}} ^{\mathrm{4}} \mid{x}\left(\mathrm{4}−{x}\right)−{k}\mid{dx}\:=\:? \\ $$
Question Number 46617 Answers: 1 Comments: 1
$${calculate}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\mathrm{1}}{{n}\left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)\left({n}+\mathrm{3}\right)\left({n}+\mathrm{4}\right)\left({n}+\mathrm{5}\right)} \\ $$
Question Number 46612 Answers: 1 Comments: 4
$$\left.\mathrm{1}\right)\:{calculate}\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:{x}^{{n}} \:{e}^{\left(\mathrm{1}−{i}\right){x}} {dx}\:{with}\:{n}\:{integr}\:{natural}\:{and}\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\int_{\mathrm{0}} ^{\infty} \:{x}^{\mathrm{4}{k}+\mathrm{3}} \:{xsinx}\:{dx}\:. \\ $$
Question Number 46611 Answers: 2 Comments: 1
Question Number 46610 Answers: 0 Comments: 2
$${let}\:{f}_{{n}} \left({x}\right)={e}^{−{nx}} −\mathrm{2}{e}^{−\mathrm{2}{nx}} \:\:{with}\:{x}\:{from}\left[\mathrm{0},+\infty\left[\right.\right. \\ $$$$\left.\mathrm{1}\right){calculate}\:\int_{\mathrm{0}} ^{\infty} \:{f}_{{n}} \left({x}\right){dx}\:\:{and}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\left(\int_{\mathrm{0}} ^{\infty} \:{f}_{{n}} \left({x}\right){dx}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{S}\left({x}\right)=\sum_{{n}=\mathrm{0}} ^{\infty} \:{f}_{{n}} \left({x}\right)\:\:{and}\:\int_{\mathrm{0}} ^{\infty} \:{S}\left({x}\right){dx} \\ $$
Question Number 46609 Answers: 0 Comments: 1
$${solve}\:\:\:\:{x}\:{y}^{''} \:−{e}^{−{x}} {y}^{'} \:\:\:={x}\:{sinx} \\ $$
Question Number 46608 Answers: 0 Comments: 0
$${let}\:{the}\:{d}.{e}\:\:{xy}^{''} \:+\left({x}^{\mathrm{2}} −{x}\right){y}^{'} \:+\mathrm{2}{y}\:=\mathrm{0} \\ $$$${find}\:{a}\:{solution}\:{developpable}\:{at}\:{integr}\:{serie}. \\ $$$$ \\ $$
Question Number 46607 Answers: 0 Comments: 1
$${calculate}\:\sum_{\left({i},{j}\right)\in\:{N}^{\mathrm{2}} } \:\:\:\:\:\frac{{i}+{j}}{\mathrm{3}^{{i}+{j}} } \\ $$
Question Number 46604 Answers: 0 Comments: 1
$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{x}\mathrm{cos}\:{x}−\mathrm{sin}\:{x}}{{x}^{\mathrm{2}} +\mathrm{sin}\:{x}}\:{dx}\:=\:? \\ $$
Question Number 46598 Answers: 1 Comments: 1
$${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:{arctan}\left(\frac{\mathrm{1}}{{n}^{\mathrm{2}} \:+{n}+\mathrm{1}}\right) \\ $$
Question Number 46594 Answers: 1 Comments: 0
$${find}\:\int\:\left(\sqrt{{x}+\sqrt{{x}}}−\sqrt{{x}−\sqrt{{x}}}\right){dx} \\ $$
Question Number 46592 Answers: 2 Comments: 1
$$\mathrm{Find}\:\mathrm{a}\:\mathrm{solution}\:\mathrm{to}:\:\:\:\mathrm{7x}\:+\:\mathrm{5y}\:+\:\mathrm{15z}\:+\:\mathrm{12w}\:=\:\mathrm{149} \\ $$
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