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Question Number 75318 Answers: 0 Comments: 6
Question Number 75256 Answers: 0 Comments: 0
$${if}\:{B}\subseteq{A},{A}\Cap{B}'=\left\{\mathrm{1},\mathrm{4},\mathrm{5}\right\}\:{and}\:{A}\sqcup{B}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6}\right\},\:{find}\:{B}. \\ $$
Question Number 75242 Answers: 2 Comments: 0
$${Find}\:{th}\:{greatest}\:{coefficients} \\ $$$${in}\:{the}\:{expansion}\:{of} \\ $$$$\left(\mathrm{3}{a}+\mathrm{5}{b}\right)^{\mathrm{18}} \\ $$$$ \\ $$$$\left.\mathrm{2}\right){If}\:{three}\:{consecutive}\: \\ $$$${coefficient}\:{of}\:\left(\mathrm{1}+{x}\right)^{{n}} \:{are}\:\mathrm{28},\mathrm{56},\mathrm{70}. \\ $$$${find}\:{the}\:{value}\:{of}\:{n} \\ $$$$ \\ $$
Question Number 75193 Answers: 2 Comments: 0
$${it}\:{is}\:{given}\:{that}\:{cos}\frac{\pi}{\mathrm{5}}=\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{4}} \\ $$$${calculate}\:{the}\:{exact}\:{val}\mathrm{ue}\:{of}\: \\ $$$${cos}\frac{\mathrm{2}\pi}{\mathrm{5}}\:\:\:{and}\:\:{cos}\frac{\mathrm{3}\pi}{\mathrm{5}} \\ $$
Question Number 75178 Answers: 1 Comments: 0
$${givn}\:{that}\:{z}\:=\:\mathrm{1}−{i}\sqrt{\mathrm{3}}\:{express}\:{z}\:{in}\:{the}\:{form}\: \\ $$$$\:{z}\:=\:{r}\left({cos}\theta\:+\:{isin}\theta\right),\:{hence}\:{express} \\ $$$${z}^{\mathrm{7}} \:{in}\:{the}\:{form}\:{re}^{{i}\theta} \\ $$
Question Number 75083 Answers: 1 Comments: 0
$${A}\:{function}\:{f}\:{is}\:{given}\:{by}\: \\ $$$$\:{f}\left({x}\right)\:=\:\begin{cases}{{x}^{\mathrm{2}} −\mathrm{3},\:\:\mathrm{0}\leqslant{x}<\mathrm{2}}\\{\mathrm{4}{x}−\mathrm{7},\:\mathrm{2}\leqslant{x}<\mathrm{4}}\end{cases} \\ $$$${is}\:{such}\:{that}\:{f}\left({x}\right)\:=\:{f}\left({x}\:+\:\mathrm{4}\right)\: \\ $$$${find}\:\:{f}\left(\mathrm{27}\right)\:{and}\:{f}\left(−\mathrm{106}\right). \\ $$
Question Number 74914 Answers: 1 Comments: 0
$${Can}\:{someone}\:{solve}\:{this}\:{question}\:{plz}? \\ $$$${solve}\:{the}\:{contour}\:{integral}\: \\ $$$$\int_{{C}} \:\frac{{e}^{{iz}} }{{z}^{\mathrm{3}} }\:{dz}\:{where}\:{C}\:{is}\:{the}\:{circle}\:\mid{z}\mid=\mathrm{2} \\ $$
Question Number 74790 Answers: 0 Comments: 0
$$\mathrm{4}{x}^{\mathrm{4}} +\mathrm{12}{x}\mathrm{3}+\mathrm{25}{x}\mathrm{2}{t}+\mathrm{24}{x}+\mathrm{16}\:{find}\:{the}\:{square}\:{root} \\ $$
Question Number 74688 Answers: 0 Comments: 0
$$\mathrm{y}\:\:=\:\:\mathrm{f}\left(\mathrm{x}\right) \\ $$$$\mathrm{Can}\:\mathrm{we}\:\mathrm{tranform}\:\mathrm{this}\:\mathrm{into}\:\mathrm{a}\:\mathrm{real}\:\mathrm{life}\:\mathrm{problem}\:\mathrm{and}\:\mathrm{solve}\:\mathrm{with} \\ $$$$\mathrm{several}\:\mathrm{condition}. \\ $$
Question Number 74655 Answers: 1 Comments: 1
$$. \\ $$
Question Number 74632 Answers: 0 Comments: 1
Question Number 74570 Answers: 1 Comments: 0
$${lim}_{{n}\rightarrow\infty} \frac{\mathrm{1}}{\left({n}\right)^{\frac{\mathrm{1}}{{n}}} }\:=\:? \\ $$
Question Number 74513 Answers: 1 Comments: 1
$${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{d}\theta}{{x}^{\mathrm{2}} −\mathrm{2}{xsin}\left(\mathrm{2}\theta\right)+\mathrm{1}}\:\:\left({x}\:{real}\right) \\ $$
Question Number 74526 Answers: 1 Comments: 0
$${prove}\:{that} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{tan}^{−\mathrm{1}} {x}={cos}^{−\mathrm{1}} \left(\sqrt{\frac{\mathrm{1}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}{\mathrm{2}\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}}\right) \\ $$$${using}\:{substitution}\:{x}={cos}\:\mathrm{2}\theta \\ $$
Question Number 74502 Answers: 1 Comments: 4
$${let}\:{f}\left({x}\right)={e}^{−{nx}} {ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right) \\ $$$$\left.\mathrm{1}\right){determine}\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){developp}\:{f}\:{at}\:{integr}\:{serie}\:\:\:\left({n}\:{integr}\:{natural}\right) \\ $$
Question Number 74473 Answers: 1 Comments: 2
Question Number 74386 Answers: 0 Comments: 0
$$\mathrm{z}\left(\mathrm{x}\right)=\mathrm{u}\left(\mathrm{x}\right)+\mathrm{v}\left(\mathrm{x}\right)=\mathrm{Z}\left(\mathrm{K}\right)=\mathrm{U}\left(\mathrm{K}\right)+\mathrm{V}\left(\mathrm{K}\right) \\ $$$$\mathrm{f}\:\mathrm{u}\left(\mathrm{x}\right)=\Sigma\frac{\mathrm{1}}{\mathrm{k}!}\:\frac{\hat {\mathrm{d}k}}{\mathrm{d}\hat {\mathrm{x}k}}\left(\mathrm{x}−\mathrm{x}{o}\right) \\ $$
Question Number 74335 Answers: 1 Comments: 0
$$\mathrm{5}\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{6}}{\mathrm{7}}=?\: \\ $$$${The}\:{end}\:{result}\:{must}\:{in}\:{the} \\ $$$$\boldsymbol{{mixed}}\:\boldsymbol{{fraction}}. \\ $$
Question Number 74328 Answers: 1 Comments: 0
Question Number 74284 Answers: 2 Comments: 4
Question Number 74226 Answers: 0 Comments: 0
Question Number 74219 Answers: 0 Comments: 0
Question Number 74214 Answers: 1 Comments: 0
Question Number 74211 Answers: 0 Comments: 1
Question Number 74207 Answers: 0 Comments: 0
Question Number 74187 Answers: 0 Comments: 0
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