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Question Number 189842 Answers: 0 Comments: 0

lim_(x→(π/3)) ((2cos 5x tan^2 x−2sin^2 2x)/(4sin 2x cos x−tan x))=?

$$\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{3}}} {\mathrm{lim}}\:\frac{\mathrm{2cos}\:\mathrm{5x}\:\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2sin}\:^{\mathrm{2}} \mathrm{2x}}{\mathrm{4sin}\:\mathrm{2x}\:\mathrm{cos}\:\mathrm{x}−\mathrm{tan}\:\mathrm{x}}=? \\ $$

Question Number 189716 Answers: 3 Comments: 0

Question Number 189715 Answers: 1 Comments: 0

Question Number 189711 Answers: 0 Comments: 0

Question Number 189710 Answers: 3 Comments: 0

Question Number 189704 Answers: 0 Comments: 0

Question Number 189701 Answers: 1 Comments: 1

Question Number 189700 Answers: 2 Comments: 2

Question Number 189697 Answers: 0 Comments: 0

calculate ... S= Σ_(n=1) ^∞ (( ζ (2n ))/n^( 2) ) = ? −−−−−−−−−

$$ \\ $$$$\:\:\:\:\:\:\:\mathrm{calculate}\:... \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{S}=\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\zeta\:\left(\mathrm{2}{n}\:\right)}{{n}^{\:\mathrm{2}} }\:=\:?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:−−−−−−−−− \\ $$

Question Number 189693 Answers: 2 Comments: 1

Question Number 189685 Answers: 2 Comments: 0

Question Number 189684 Answers: 1 Comments: 1

Question Number 189683 Answers: 1 Comments: 0

Question Number 189680 Answers: 0 Comments: 6

Question Number 189679 Answers: 0 Comments: 0

Question Number 189672 Answers: 0 Comments: 2

Question Number 189667 Answers: 0 Comments: 0

Question Number 189666 Answers: 0 Comments: 0

Question Number 189665 Answers: 1 Comments: 0

Question Number 189662 Answers: 0 Comments: 0

Question Number 189661 Answers: 0 Comments: 0

Question Number 189660 Answers: 0 Comments: 0

Question Number 189643 Answers: 1 Comments: 0

f(x)=((sinx+cosx)/3) R_(f(x)) =?

$$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{sinx}+\mathrm{cosx}}{\mathrm{3}} \\ $$$$\mathrm{R}_{\mathrm{f}\left(\mathrm{x}\right)} =? \\ $$

Question Number 189641 Answers: 1 Comments: 3

A man has equal chances of travelling by air(A), bus(B) and train(T). the probability that when he travels by air, bus or train he will have an accident are (1/3), (3/5) and (1/(10)). find the probability that (a) he travelled and was involved in an accident (b) he was travelling by air given that he was involved in an accident. (c) he was travelling by bus or he arrived safely

$$\mathrm{A}\:\mathrm{man}\:\mathrm{has}\:\mathrm{equal}\:\mathrm{chances}\:\mathrm{of}\:\mathrm{travelling}\:\mathrm{by}\: \\ $$$$\mathrm{air}\left(\mathrm{A}\right),\:\mathrm{bus}\left(\mathrm{B}\right)\:\mathrm{and}\:\mathrm{train}\left(\mathrm{T}\right).\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{when}\:\mathrm{he}\:\mathrm{travels}\:\mathrm{by}\:\mathrm{air},\:\mathrm{bus}\:\mathrm{or}\:\mathrm{train}\:\mathrm{he} \\ $$$$\mathrm{will}\:\mathrm{have}\:\mathrm{an}\:\mathrm{accident}\:\mathrm{are}\:\frac{\mathrm{1}}{\mathrm{3}},\:\frac{\mathrm{3}}{\mathrm{5}}\:\mathrm{and}\:\frac{\mathrm{1}}{\mathrm{10}}. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{he}\:\mathrm{travelled}\:\mathrm{and}\:\mathrm{was}\:\mathrm{involved}\:\mathrm{in}\:\mathrm{an}\:\mathrm{accident} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{he}\:\mathrm{was}\:\mathrm{travelling}\:\mathrm{by}\:\mathrm{air}\:\mathrm{given}\:\mathrm{that}\:\mathrm{he}\:\mathrm{was} \\ $$$$\mathrm{involved}\:\mathrm{in}\:\mathrm{an}\:\mathrm{accident}. \\ $$$$\left(\mathrm{c}\right)\:\mathrm{he}\:\mathrm{was}\:\mathrm{travelling}\:\mathrm{by}\:\mathrm{bus}\:\mathrm{or}\:\mathrm{he}\:\mathrm{arrived}\:\mathrm{safely} \\ $$

Question Number 189639 Answers: 1 Comments: 1

(((20)),(( 0)) ) (((10)),(( 1)) ) + (((20)),(( 1)) ) (((10)),(( 2)) ) +...+ ((( 20)),(( 9)) ) ((( 10)),(( 10)) ) =?

$$ \\ $$$$\:\:\begin{pmatrix}{\mathrm{20}}\\{\:\mathrm{0}}\end{pmatrix}\:\begin{pmatrix}{\mathrm{10}}\\{\:\mathrm{1}}\end{pmatrix}\:+\:\begin{pmatrix}{\mathrm{20}}\\{\:\mathrm{1}}\end{pmatrix}\:\begin{pmatrix}{\mathrm{10}}\\{\:\:\mathrm{2}}\end{pmatrix}\:+...+\:\begin{pmatrix}{\:\:\:\mathrm{20}}\\{\:\:\mathrm{9}}\end{pmatrix}\:\begin{pmatrix}{\:\:\mathrm{10}}\\{\:\mathrm{10}}\end{pmatrix}\:=? \\ $$$$ \\ $$

Question Number 189664 Answers: 1 Comments: 0

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