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AllQuestion and Answers: Page 257
Question Number 185733 Answers: 0 Comments: 0
Question Number 185732 Answers: 1 Comments: 0
Question Number 185731 Answers: 0 Comments: 0
Question Number 185729 Answers: 1 Comments: 8
Question Number 185728 Answers: 1 Comments: 0
$$\left(\mathrm{x}−\mathrm{2013}\right)!=\mathrm{6}!\mathrm{7}! \\ $$$$\mathrm{x}=?? \\ $$
Question Number 185727 Answers: 0 Comments: 0
Question Number 185723 Answers: 1 Comments: 0
Question Number 185708 Answers: 2 Comments: 0
Question Number 185706 Answers: 3 Comments: 0
$$\mathrm{if}\:\:\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}\:+\:\mathrm{1}\:=\:\mathrm{0} \\ $$$$\mathrm{find}:\:\:\:\:\:\mathrm{x}^{\mathrm{2011}} \:+\:\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2011}} }\:=\:? \\ $$
Question Number 185705 Answers: 1 Comments: 0
Question Number 185701 Answers: 0 Comments: 2
$$\mathrm{1000}! \\ $$
Question Number 185700 Answers: 0 Comments: 1
Question Number 185695 Answers: 2 Comments: 0
$${If}\:\overset{\rightarrow} {{u}}\:{and}\:\overset{\rightarrow} {{v}}\:{are}\:{vectors}\:{in}\:\mathbb{R}^{\mathrm{3}} \\ $$$${then}\:{prove}\:{that}\: \\ $$$$\overset{\rightarrow} {{u}}.\overset{\rightarrow} {{v}}=\frac{\mathrm{1}}{\mathrm{4}}\parallel\overset{\rightarrow} {{u}}+\overset{\rightarrow} {{v}}\parallel^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{4}}\parallel\overset{\rightarrow} {{u}}−\overset{\rightarrow} {{v}}\parallel^{\mathrm{2}} \\ $$
Question Number 185694 Answers: 0 Comments: 0
$${Show}\:{that}\:{the}\:{set}\:{V}=\mathbb{R}^{\mathrm{3}} \:{with} \\ $$$${standard}\:{vector}\:{addition}\:{and} \\ $$$${multiplication}\:{defined}\:{as} \\ $$$${c}\left({u}_{\mathrm{1}} ,{u}_{\mathrm{2}} ,{u}_{\mathrm{3}} \right)=\left(\mathrm{0},\mathrm{0},{cu}_{\mathrm{3}} \right) \\ $$
Question Number 185693 Answers: 1 Comments: 1
$$\mathrm{If}\:\:\:\mathrm{k}\:>\:\mathrm{0}\:\:\:\mathrm{and}\:\:\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{x}}{\mid\mathrm{x}\mid} \\ $$$$\mathrm{Find}\:\:\:\mathrm{f}\left(-\:\frac{\mathrm{2}}{\mathrm{7}}\:\mathrm{k}\right)\:+\:\mathrm{f}\left(\:-\:\mathrm{2k}\right)\:=\:? \\ $$
Question Number 185692 Answers: 0 Comments: 0
$${Given}\: \\ $$$$\overset{\rightarrow} {{u}}=\left(−\mathrm{2},\mathrm{3},\mathrm{1}\right)\:\:{and}\:\overset{\rightarrow} {{v}}=\left(\mathrm{7},\mathrm{1},−\mathrm{4}\right) \\ $$$${verify}\:{cauchy}−{schwartz}\: \\ $$$${inequarity}\:{and}\:{triangle}\:{inequarty} \\ $$
Question Number 185685 Answers: 1 Comments: 0
Question Number 185684 Answers: 0 Comments: 7
$$\mathrm{17}\:,\:\mathrm{78},\:\mathrm{143},\:\mathrm{353},\:? \\ $$$$\left.\mathrm{a}\left.\right)\left.\mathrm{3}\left.\mathrm{66}\:\:\:\:\:\mathrm{b}\right)\mathrm{0}\:\:\:\:\:\mathrm{c}\right)\mathrm{398}\:\:\:\:\:\mathrm{d}\right)\mathrm{435} \\ $$
Question Number 185678 Answers: 1 Comments: 0
Question Number 185677 Answers: 1 Comments: 0
Question Number 185674 Answers: 1 Comments: 1
Question Number 185673 Answers: 1 Comments: 0
Question Number 185672 Answers: 0 Comments: 0
Question Number 185668 Answers: 2 Comments: 0
$$\mathrm{Find}:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{10}°}\:−\:\mathrm{4}\:\mathrm{sin}\:\mathrm{70}°\:=\:? \\ $$
Question Number 185665 Answers: 1 Comments: 0
$${f}\left(\frac{\mathrm{2}{x}−\mathrm{1}}{\mathrm{3}{x}+\mathrm{2}}\right)=\frac{{x}−\mathrm{1}}{{x}−\mathrm{2}}\:\:\:\:\:\:{faind}\:\:\:{f}^{−\mathrm{1}} \left(\mathrm{2}\right)=? \\ $$
Question Number 185664 Answers: 0 Comments: 0
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