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AllQuestion and Answers: Page 189

Question Number 197032 Answers: 1 Comments: 0

(logtan3)(logtan6)(logtan9)(...(logtan87)=? plz i need

$(logtan 3) (logtan 6) (logtan 9) (. . . (logtan 87) = ?$ $plz i need$

Question Number 197029 Answers: 1 Comments: 0

lim_(x→0) ((x^8 −sin^8 x)/x^(10) ) =?

$\lim_{x \to 0} \frac{x^{8} - \sin^{8} x}{x^{10}} = ?$

Question Number 197027 Answers: 2 Comments: 0

Question Number 197024 Answers: 3 Comments: 0

calculate Ω= ∫_0 ^( (π/2)) sin(x) (√( 1+^ sin(x)cos(x))) dx=?

$c a l c u l a t e$ $Ω = \int_{0}^{\frac{π}{2}} s i n (x) \sqrt{1 \overset{}{+} s i n (x) c o s (x)} d x = ?$

Question Number 197018 Answers: 2 Comments: 0

Question Number 197017 Answers: 0 Comments: 1

Question Number 197011 Answers: 2 Comments: 0

Question Number 197010 Answers: 1 Comments: 0

Question Number 197008 Answers: 1 Comments: 0

Question Number 197005 Answers: 1 Comments: 0

Question Number 197003 Answers: 0 Comments: 0

Question Number 197002 Answers: 0 Comments: 1

Question Number 197001 Answers: 0 Comments: 0

lim_(n→∞) ∫_(−π) ^( π) ((n!2^(2ncos(φ)) )/(Π_(k=1) ^n (2ne^(iφ) −k)))dφ

$\lim_{n \to \infty} \underset{- π}{\int^{π}} \frac{n! 2^{2 n c o s (ϕ)}}{\underset{k = 1}{\prod^{n}} (2 {n e}^{i ϕ} - k)} d ϕ$

Question Number 196992 Answers: 0 Comments: 0

If A(a^2 , 2a), B((1/a^2 ), ((− 2)/a)) and S(1, 0) are three points then prove that, (1/(SA)) + (1/(SB)) = 1.

$If A (a^{2}, 2 a), B (\frac{1}{a^{2}}, \frac{- 2}{a}) and S (1, 0)$ $are three points then prove that,$ $\frac{1}{SA} + \frac{1}{SB} = 1 .$

Question Number 196986 Answers: 1 Comments: 0

Prove that lim_(n→+∞) n∫^( 1) _( 0) e^(−nt(1−ln(1−t))) dt=(√(2π))

$Prove that$ $\underset{n \to + \infty}{\lim n} {\int_{0}}^{1} e^{- nt (1 - \ln (1 - t))} dt = \sqrt{2 π}$

Question Number 196983 Answers: 3 Comments: 1

Question Number 196976 Answers: 1 Comments: 0

Question Number 196973 Answers: 1 Comments: 0

Question Number 196972 Answers: 1 Comments: 0

Question Number 196971 Answers: 1 Comments: 0

solve { ((3x^2 −9y=1)),((3y^2 −9x=0)) :}

$s o l v e {\begin{cases} 3 x^{2} - 9 y = 1 \\ 3 y^{2} - 9 x = 0 \end{cases}$

Question Number 196968 Answers: 2 Comments: 0

Question Number 196965 Answers: 1 Comments: 0

Question Number 196964 Answers: 2 Comments: 0

Question Number 196959 Answers: 2 Comments: 0

$\underset{―}{}$

Question Number 196957 Answers: 1 Comments: 0

Question Number 196955 Answers: 0 Comments: 1

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