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AllQuestion and Answers: Page 1626

Question Number 40216 Answers: 1 Comments: 0

Question Number 40213 Answers: 0 Comments: 0

Question Number 40212 Answers: 2 Comments: 1

Solve 4x^2 −8x−3=0

$S o l v e 4 x^{2} - 8 x - 3 = 0$

Question Number 40188 Answers: 0 Comments: 0

can any one plss answer question ; 40057

$c a n a n y o n e p l s s a n s w e r$ $q u e s t i o n; 40057$

Question Number 40186 Answers: 0 Comments: 0

Question Number 40185 Answers: 0 Comments: 0

Question Number 40176 Answers: 0 Comments: 0

Question Number 40173 Answers: 1 Comments: 1

Question Number 40945 Answers: 0 Comments: 0

Two parallel plate conductors 1m from each other carry an electric current of 2A each.Find the magnetic force per metre on each wire.

$T w o p a r a l l e l p l a t e c o n d u c t o r s 1 m$ $f r o m e a c h o t h e r c a r r y a n e l e c t r i c$ $c u r r e n t o f 2 A e a c h . F i n d t h e m a g n e t i c$ $f o r c e p e r m e t r e o n e a c h w i r e .$

Question Number 40170 Answers: 1 Comments: 3

Question Number 40161 Answers: 0 Comments: 0

study the convergence of ∫_0 ^∞ ((sin((1/x^2 )))/(ln(1+(√x))))dx

$s t u d y t h e c o n v e r g e n c e o f \int_{0}^{\infty} \frac{s i n (\frac{1}{x^{2}})}{l n (1 + \sqrt{x})} d x$

Question Number 40160 Answers: 0 Comments: 1

study the convergence of ∫_0 ^1 ((1−e^(−t) )/(t(√t))) dt

$s t u d y t h e c o n v e r g e n c e o f \int_{0}^{1} \frac{1 - e^{- t}}{t \sqrt{t}} d t$

Question Number 40159 Answers: 0 Comments: 1

let I_n = ∫_0 ^∞ (dx/((1+x^3 )^n )) find a relation etween I_n and I_(n+1) 2) calculate I_(1 ) and I_2

$l e t I_{n} = \int_{0}^{\infty} \frac{d x}{{(1 + x^{3})}^{n}}$ $f i n d a r e l a t i o n e t w e e n I_{n} a n d I_{n + 1}$ $2) c a l c u l a t e I_{1} a n d I_{2}$

Question Number 40158 Answers: 0 Comments: 3

let A_n = ∫_0 ^1 ((x^(2n+1) ln(x))/(x^2 −1))dx 1) justify the existence of A_n 2)calculate A_(n+1) −A_n 3) prove that x∈]0,1[ ⇒0<((xln(x))/(x^2 −1))<(1/2) 4) find lim_(n→+∞) A_n

$l e t A_{n} = \int_{0}^{1} \frac{x^{2 n + 1} l n (x)}{x^{2} - 1} d x$ $1) j u s t i f y t h e e x i s t e n c e o f A_{n}$ $2) c a l c u l a t e A_{n + 1} - A_{n}$ $3) p r o v e t h a t x \in] 0, 1 [\Rightarrow 0 < \frac{x l n (x)}{x^{2} - 1} < \frac{1}{2}$ $4) f i n d {l i m}_{n \to + \infty} A_{n}$

Question Number 40157 Answers: 1 Comments: 1

find the value of ∫_(−∞) ^(+∞) (dt/((t^2 −2t +2)^(3/2) ))

$f i n d t h e v a l u e o f \int_{- \infty}^{+ \infty} \frac{d t}{{(t^{2} - 2 t + 2)}^{\frac{3}{2}}}$

Question Number 40156 Answers: 1 Comments: 1

find ∫_e^2 ^(+∞) (dt/(tln(t)ln(ln(t)))

$f i n d \int_{e^{2}}^{+ \infty} \frac{d t}{t l n (t) l n (l n (t)}$

Question Number 40155 Answers: 1 Comments: 1

caoculate ∫_0 ^∞ ((t dt)/((1+t^4 )^2 ))

$c a o c u l a t e \int_{0}^{\infty} \frac{t d t}{{(1 + t^{4})}^{2}}$

Question Number 40154 Answers: 1 Comments: 1

find the value of ∫_0 ^1 ((ln(t))/((1+t)^2 ))dt

$f i n d t h e v a l u e o f \int_{0}^{1} \frac{l n (t)}{{(1 + t)}^{2}} d t$

Question Number 40153 Answers: 1 Comments: 1

calculate ∫_1 ^2 ((t−2)/(√(t^2 −1)))dt

$c a l c u l a t e \int_{1}^{2} \frac{t - 2}{\sqrt{t^{2} - 1}} d t$

Question Number 40152 Answers: 1 Comments: 1

let f(x) = ∫_(−1) ^x (e^t /(√(1−e^t )))dt with x<0 1) calculate f(x) 2) find ∫_(−1) ^0 (e^t /(√(1−e^t )))dt

$l e t f (x) = \int_{- 1}^{x} \frac{e^{t}}{\sqrt{1 - e^{t}}} d t w i t h x < 0$ $1) c a l c u l a t e f (x)$ $2) f i n d \int_{- 1}^{0} \frac{e^{t}}{\sqrt{1 - e^{t}}} d t$

Question Number 40151 Answers: 1 Comments: 1

let F(x) = ∫_0 ^(π/2) cos(xsint)dt 1) prove that ∀u ∈R 1−(u^2 /2) ≤cosu≤1−(u^2 /2) +(u^4 /(24)) 2) prove that (π/2)(1−(x^2 /4))≤F(x)≤ (π/2)(1−(x^2 /4) +(x^4 /(64)))

$l e t F (x) = \int_{0}^{\frac{π}{2}} c o s (x s i n t) d t$ $1) p r o v e t h a t \forall u \in R 1 - \frac{u^{2}}{2} ⩽ c o s u ⩽ 1 - \frac{u^{2}}{2} + \frac{u^{4}}{24}$ $2) p r o v e t h a t \frac{π}{2} (1 - \frac{x^{2}}{4}) ⩽ F (x) ⩽ \frac{π}{2} (1 - \frac{x^{2}}{4} + \frac{x^{4}}{64})$

Question Number 40150 Answers: 0 Comments: 1

let f_n (x) =(1/((1+x^n )^(1+(1/n)) )) ddfined on [0,1] 1) prove that f_n →^(cs) f (n→+∞) 2) calculate I_n = ∫_0 ^1 f_n (x)dx

$l e t f_{n} (x) = \frac{1}{{(1 + x^{n})}^{1 + \frac{1}{n}}} d d f i n e d o n [0, 1]$ $1) p r o v e t h a t f_{n} \to^{c s} f (n \to + \infty)$ $2) c a l c u l a t e I_{n} = \int_{0}^{1} f_{n} (x) d x$

Question Number 40149 Answers: 0 Comments: 1

let u_n = (1/(√n)) Σ_(k=1) ^n (1/(√(n+4k))) find lim_(n→+∞) u_n

$l e t u_{n} = \frac{1}{\sqrt{n}} \sum_{k = 1}^{n} \frac{1}{\sqrt{n + 4 k}}$ $f i n d {l i m}_{n \to + \infty} u_{n}$

Question Number 40148 Answers: 3 Comments: 0

let f(x)= (x^3 /((1+x^2 )^(3/2) )) 1) calculate ∫_0 ^1 f(x)dx 2) let S_n = (1/n^4 ) Σ_(k=1) ^n (k^3 /(√((1+((k/n))^2 )^3 ))) find lim_(n→+∞) S_n

$l e t f (x) = \frac{x^{3}}{{(1 + x^{2})}^{\frac{3}{2}}}$ $1) c a l c u l a t e \int_{0}^{1} f (x) d x$ $2) l e t S_{n} = \frac{1}{n^{4}} \sum_{k = 1}^{n} \frac{k^{3}}{\sqrt{{(1 + {(\frac{k}{n})}^{2})}^{3}}}$ $f i n d {l i m}_{n \to + \infty} S_{n}$

Question Number 40147 Answers: 0 Comments: 2

calculate ∫_0 ^2 (√(x^3 (2−x)))dx

$c a l c u l a t e \int_{0}^{2} \sqrt{x^{3} (2 - x)} d x$

Question Number 40146 Answers: 1 Comments: 1

find ∫_(1/2) ^1 (dx/((√(4x^2 −1)) +(√(4x^2 +1))))

$f i n d \int_{\frac{1}{2}}^{1} \frac{d x}{\sqrt{4 x^{2} - 1} + \sqrt{4 x^{2} + 1}}$

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