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AllQuestion and Answers: Page 672

Question Number 145101 Answers: 0 Comments: 1

Question Number 145093 Answers: 1 Comments: 0

if f(ax+2b)=x and f(2a)=(b/a) find f(5b)=?

$i f f (a x + 2 b) = x a n d f (2 a) = \frac{b}{a}$ $f i n d f (5 b) = ?$

Question Number 145082 Answers: 4 Comments: 0

Σ_(n=2) ^∞ ((1/(2n^2 −2)))=?

$\underset{n = 2}{\sum^{\infty}} (\frac{1}{2 n^{2} - 2}) = ?$

Question Number 145081 Answers: 1 Comments: 0

∫_0 ^∞ (x−(x^3 /2)+(x^5 /(2∙4))−(x^7 /(2∙4∙6))+...)∙(1+(x^2 /2^2 )+(x^4 /(2^2 ∙4^2 ))+(x^6 /(2^2 ∙4^2 ∙6^2 ))+...)dx=(√e)

$\int_{0}^{\infty} (x - \frac{x^{3}}{2} + \frac{x^{5}}{2 \cdot 4} - \frac{x^{7}}{2 \cdot 4 \cdot 6} + . . .) \cdot (1 + \frac{x^{2}}{2^{2}} + \frac{x^{4}}{2^{2} \cdot 4^{2}} + \frac{x^{6}}{2^{2} \cdot 4^{2} \cdot 6^{2}} + . . .) dx = \sqrt{e}$

Question Number 145074 Answers: 1 Comments: 0

ab+bc+ax+cx=?

$a b + b c + a x + c x = ?$

Question Number 145073 Answers: 1 Comments: 2

let a_1 ,a_2 ,...,a_n be positive real numbers such that a_1 +a_2 +...+a_n =1 then find maximum value of a_1 ^a_1 .a_2 ^a_2 ....a_n ^a_n ?

$let a_{1}, a_{2}, . . ., a_{n} be positive$ $real numbers such that$ $a_{1} + a_{2} + . . . + a_{n} = 1 then find$ $maximum value of$ $a_{1}^{a_{1}} . a_{2}^{a_{2}} . . . . a_{n}^{a_{n}} ?$

Question Number 145071 Answers: 1 Comments: 0

log _(((x/2))) (x+2) = 1+ log _x (4−x) x=?

$\log_{(\frac{x}{2})} (x + 2) = 1 + \log_{x} (4 - x)$ $x = ?$

Question Number 145067 Answers: 1 Comments: 0

log _3 (x+1) =log _4 (x+8) x=?

$\log_{3} (x + 1) = \log_{4} (x + 8)$ $x = ?$

Question Number 145065 Answers: 0 Comments: 0

(1/( (√(1+x))))=1+Σ_(k=1) ^n [(((−1)^k )/2^(2k) )C_(2k) ^k ]x^k +o(x^n )

$\frac{1}{\sqrt{1 + x}} = 1 + \underset{k = 1}{\sum^{n}} [\frac{{(- 1)}^{k}}{2^{2 k}} C_{2 k}^{k}] x^{k} + o (x^{n})$

Question Number 145064 Answers: 1 Comments: 0

∫cos 2xln (1+tan x)dx

$\int \cos 2 xln (1 + \tan x) dx$

Question Number 145057 Answers: 0 Comments: 3

find k if y^2 +y+k is a perfect square

$f i n d k i f y^{2} + y + k i s a p e r f e c t$ $s q u a r e$

Question Number 145052 Answers: 0 Comments: 2

find laurant series at f(z)=(1/(lnz))????

$f i n d l a u r a n t s e r i e s a t f (z) = \frac{1}{l n z} ? ? ? ?$

Question Number 145047 Answers: 3 Comments: 1

Question Number 145046 Answers: 0 Comments: 0

find ∫_0 ^∞ ∣cosx +sinx∣e^(−x) dx

$find \int_{0}^{\infty} ∣ cosx + sinx ∣ e^{- x} dx$

Question Number 145044 Answers: 3 Comments: 0

calculate ∫_0 ^∞ e^(−2x) (√(1+sinx))dx

$calculate \int_{0}^{\infty} e^{- 2 x} \sqrt{1 + sinx} dx$

Question Number 145025 Answers: 2 Comments: 0

Σ_(n=1) ^∞ (1/((n+1)(√n)+n(√(n+1)))) = ?

$\underset{n = 1}{\sum^{\infty}} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1}} = ?$

Question Number 145023 Answers: 0 Comments: 4

Question Number 145021 Answers: 2 Comments: 0

Question Number 145019 Answers: 1 Comments: 0

Solve the equation: y+1=x^6 −9x^4 +6x^2 ; x;y∈P

$S o l v e t h e e q u a t i o n :$ $y + 1 = x^{6} - 9 x^{4} + 6 x^{2}; x; y \in P$

Question Number 145012 Answers: 1 Comments: 0

Question Number 145011 Answers: 2 Comments: 0

Question Number 145010 Answers: 2 Comments: 0

Question Number 145009 Answers: 3 Comments: 0

Question Number 145004 Answers: 0 Comments: 1

Question Number 145003 Answers: 0 Comments: 0

Solve the equation: 2^a 3^b 7^c = c^2 cbb^6 ^(−) ; a;b;c∈P

$S o l v e t h e e q u a t i o n :$ $2^{a} 3^{b} 7^{c} = \overset{―}{c^{2} {c b b}^{6}}; a; b; c \in P$

Question Number 145002 Answers: 0 Comments: 2

Find the last digit of the number: 1^(1989) +2^(1989) +3^(1989) +...+1989^(1989)

$F i n d t h e l a s t d i g i t o f t h e n u m b e r :$ $1^{1989} + 2^{1989} + 3^{1989} + . . . + 1989^{1989}$

Pg 667 Pg 668 Pg 669 Pg 670 Pg 671 Pg 672 Pg 673 Pg 674 Pg 675 Pg 676

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