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AllQuestion and Answers: Page 209

Question Number 194939 Answers: 0 Comments: 0

Question Number 194938 Answers: 0 Comments: 0

Question Number 194937 Answers: 1 Comments: 0

If tan ((π/(24)))= ((√a)−(√b))((√c)−(√d)) where a,b,c,d are postive numbers. Find the value of (a+b+c+d+2)

$I f \tan (\frac{π}{24}) = (\sqrt{a} - \sqrt{b}) (\sqrt{c} - \sqrt{d})$ $w h e r e a, b, c, d a r e p o s t i v e n u m b e r s .$ $F i n d t h e v a l u e o f (a + b + c + d + 2)$

Question Number 194931 Answers: 2 Comments: 0

Question Number 194930 Answers: 0 Comments: 1

∫_0 ^1 x^(−x) dx=?

$\int_{0}^{1} x^{- x} d x = ?$

Question Number 194928 Answers: 1 Comments: 0

lim_(x→∞) ((√(x^2 +5x+1)) +(√(x^2 −2x+1))+(√(x^2 +3))+(√(x^2 −4x+9))−(√(16x^2 −8)) =?

$\lim_{x \to \infty} (\sqrt{x^{2} + 5 x + 1} + \sqrt{x^{2} - 2 x + 1} + \sqrt{x^{2} + 3} + \sqrt{x^{2} - 4 x + 9} - \sqrt{16 x^{2} - 8} = ?$

Question Number 194903 Answers: 1 Comments: 1

Question Number 194915 Answers: 2 Comments: 4

(3/(x−3))+(5/(x−5))+(7/(x−17))+((19)/(x−19))=x^2 −11x−4

$\frac{3}{x - 3} + \frac{5}{x - 5} + \frac{7}{x - 17} + \frac{19}{x - 19} = x^{2} - 11 x - 4$

Question Number 194914 Answers: 2 Comments: 0

Question Number 194913 Answers: 2 Comments: 0

Question Number 194899 Answers: 1 Comments: 0

Question Number 194900 Answers: 1 Comments: 0

Given d = (((2+ (√5)))^(1/3) /(1+(√5))) then d^3 −4d^2 +8d −2 =?

$G i v e n d = \frac{\sqrt[3]{2 + \sqrt{5}}}{1 + \sqrt{5}}$ $t h e n d^{3} - 4 d^{2} + 8 d - 2 = ?$

Question Number 194896 Answers: 1 Comments: 0

Question Number 194891 Answers: 1 Comments: 0

lim_(x→3^+ ) ((((√x)−(√(x−3))−(√3))/( (√(x^2 −9)))) )=?

$\lim_{x \to 3^{+}} (\frac{\sqrt{x} - \sqrt{x - 3} - \sqrt{3}}{\sqrt{x^{2} - 9}}) = ?$

Question Number 194888 Answers: 1 Comments: 0

Question Number 194887 Answers: 1 Comments: 0

What is the Inverse laplace transform of ((S + 2)/(S^2 +4S + 7)) Urgent!

$What is the Inverse laplace transform of$ $\frac{S + 2}{S^{2} + 4 S + 7}$ $Urgent!$

Question Number 194881 Answers: 1 Comments: 0

Give △ABC Proof: sin A + sin B + sin C > 2

$G i v e △ A B C$ $P r o o f : s i n A + s i n B + s i n C > 2$

Question Number 194884 Answers: 1 Comments: 0

x! = 6!. 7! x^2 =?

$x! = 6! . 7!$ $x^{2} = ?$

Question Number 194879 Answers: 1 Comments: 0

Question Number 194878 Answers: 2 Comments: 0

Question Number 194877 Answers: 0 Comments: 1

without calculator Prove: ((π^5 +π^4 ))^(1/6) <e

$w i t h o u t c a l c u l a t o r P r o v e : \sqrt[6]{π^{5} + π^{4}} < e$

Question Number 194869 Answers: 1 Comments: 0

Question Number 194868 Answers: 1 Comments: 0

Prove that ∀n∈IN ∫^( 1) _( 0) t sin^(2n) (lnt)dt= (1/(1−e^(−2π) )) ∫^( π) _( 0) e^(−2t) sin^(2n) (t)dt

$Prove that \forall n \in IN$ ${\int_{0}}^{1} t {s i n}^{2 n} (l n t) d t = \frac{1}{1 - e^{- 2 π}} {\int_{0}}^{π} e^{- 2 t} {s i n}^{2 n} (t) d t$

Question Number 194861 Answers: 1 Comments: 0

Question Number 194853 Answers: 3 Comments: 0

Question Number 194852 Answers: 1 Comments: 0

lim_(x→0) (cosx)^(log(x)) =?

$\lim_{x \to 0} {(cosx)}^{\log (x)} = ?$

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