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Question Number 209853 Answers: 2 Comments: 1
Question Number 209852 Answers: 1 Comments: 0
$$\mathrm{Find}:\:\:\:\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\mathrm{arctan}\:\left(\frac{\mathrm{2}}{\mathrm{n}^{\mathrm{2}} }\right)\:=\:? \\ $$
Question Number 209847 Answers: 1 Comments: 0
Question Number 209846 Answers: 2 Comments: 0
Question Number 209845 Answers: 0 Comments: 0
Question Number 209840 Answers: 1 Comments: 0
Question Number 209838 Answers: 1 Comments: 0
$${If}\:{sin}\:{x}\:+\:{cos}\:{x}\:+\:{tan}\:{x}\:+\:{cot}\:{x}\:+ \\ $$$${sec}\:{x}\:+\:{csc}\:{x}\:=\:\mathrm{7}\:,\:{find}\:{sin}\mathrm{2}{x}? \\ $$
Question Number 209837 Answers: 2 Comments: 0
$$ \\ $$$${if}\:{the}\:{series}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}^{\mathrm{2}} }\:{converges}\:{to}\:{k}\:.\:\:{find}\:\:{the}\:{convergence}\:{value}\:{of}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$
Question Number 209822 Answers: 0 Comments: 8
$$\mathrm{A}\:\mathrm{ramp}\:\mathrm{is}\:\mathrm{supported}\:\mathrm{by}\:\mathrm{six}\:\mathrm{pillars}\:\mathrm{and}\:\mathrm{the}\:\mathrm{talleste} \\ $$$$\mathrm{on}\:\mathrm{measures}\:\mathrm{6}\:\mathrm{meters}.\:\mathrm{The}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{eachi} \\ $$$$\mathrm{pllar}\:\mathrm{is}\:\mathrm{5}\:\mathrm{meters}.\:\mathrm{What}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{height}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{third}\:\mathrm{pillar}?\: \\ $$
Question Number 209813 Answers: 2 Comments: 0
Question Number 209812 Answers: 0 Comments: 0
Question Number 209810 Answers: 1 Comments: 0
$$ \\ $$$$\:\:\:\mathrm{lim}_{\:\mathrm{x}\rightarrow\mathrm{0}} \:\frac{\:\left(\mathrm{1}+\:\mathrm{x}\:\right)^{\frac{\mathrm{1}}{\mathrm{x}}} −\mathrm{e}}{\mathrm{x}}\:=\:? \\ $$$$ \\ $$
Question Number 209800 Answers: 1 Comments: 1
Question Number 209794 Answers: 2 Comments: 0
$$\:\:\: \\ $$$$\:\:\:\mathrm{13456622577532674}\:{how}\:{many}\:\mathrm{5}-{digit} \\ $$$$\:\:\:{numbers}\:{can}\:{be}\:{made}\:{from}\:{these}\:{numbers}? \\ $$$$\:\:\:{help}\:{please} \\ $$$$ \\ $$
Question Number 209783 Answers: 1 Comments: 0
Question Number 209781 Answers: 2 Comments: 0
$$\:\:\:\frac{\mathrm{1}+\mathrm{sin}\:\mathrm{40}°−\mathrm{cos}\:\mathrm{40}°}{\mathrm{1}+\mathrm{sin}\:\mathrm{40}°+\mathrm{cos}\:\mathrm{40}°}\:=? \\ $$
Question Number 209773 Answers: 0 Comments: 0
Question Number 209768 Answers: 1 Comments: 0
$$\boldsymbol{{Express}}\:\boldsymbol{{tan}}\left(\mathrm{3}\right)\:\boldsymbol{{in}}\:\boldsymbol{{surd}}\:\boldsymbol{{form}} \\ $$
Question Number 209761 Answers: 1 Comments: 0
$${x}^{\mathrm{3}} −\mathrm{9}{xy}^{\mathrm{2}} =\mathrm{28} \\ $$$${x}^{\mathrm{2}} {y}−{y}^{\mathrm{3}} =\mathrm{15} \\ $$$$\mathrm{solve}\:\mathrm{for}\:{x}\:\mathrm{and}\:{y}. \\ $$$${x},{y}\in\mathbb{R} \\ $$
Question Number 209763 Answers: 1 Comments: 1
Question Number 209746 Answers: 1 Comments: 1
$$\left.{Q}\right){Choose}\:{at}\:{least}\:{some}\:{members} \\ $$$${frome}\:{the}\:{set}\:{A}=\left\{\mathrm{14},\mathrm{15},...,\mathrm{20},\mathrm{22},\mathrm{23},...,\mathrm{28}\right\} \\ $$$${so}\:{that}\:{whith}\:{confidence}\:\:{includes}\:{three}\:{consecutive} \\ $$$${members}? \\ $$
Question Number 209744 Answers: 4 Comments: 0
Question Number 209735 Answers: 3 Comments: 0
$$\mathrm{tan}\left(\mathrm{3x}\right)\:\:+\:\:\mathrm{tan}\left(\mathrm{5x}\right)\:\:=\:\:\mathrm{2} \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$
Question Number 209732 Answers: 1 Comments: 0
$$\left.{Q}\right)\:{The}\:{collection}\:{A}=\left\{\mathrm{12},\mathrm{13},\mathrm{15},\mathrm{18},\mathrm{23},\mathrm{24},\mathrm{25},\mathrm{26}\right\}\&\:{B}\subseteq{A} \\ $$$${if}\:\:{m},{M}\:\in{B}\:\:;\:{m}={min}\:\&\:{M}\:={max}\:\&\:\:{nm}=\mathrm{10}{k} \\ $$$${which}\:{number}\:{of}\:\:{B}\:: \\ $$$$\left.\mathrm{1}\left.\right)\left.\mathrm{5}\left.\mathrm{9}\:\:\:\:\:\:\:\mathrm{2}\right)\mathrm{60}\:\:\:\:\:\:\:\mathrm{3}\right)\mathrm{61}\:\:\:\:\:\:\mathrm{4}\right)\mathrm{62} \\ $$$$ \\ $$
Question Number 209719 Answers: 1 Comments: 0
$$\mathrm{If}: \\ $$$$\mathrm{7}^{\mathrm{243}} \:\:=\:\:\overline {\mathrm{a}...\mathrm{bc}} \\ $$$$\mathrm{Find}: \\ $$$$\mathrm{b}\centerdot\mathrm{c}\:=\:? \\ $$
Question Number 209718 Answers: 1 Comments: 0
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