Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 583

Question Number 154664 Answers: 0 Comments: 1

Question Number 154663 Answers: 0 Comments: 1

Question Number 154662 Answers: 0 Comments: 1

Question Number 154661 Answers: 1 Comments: 0

Question Number 154652 Answers: 1 Comments: 0

lim_(x→0) ((1−tan (x+(π/4))tan (2x+(π/4))tan ((π/4)−3x))/x^3 )=?

$\lim_{x \to 0} \frac{1 - \tan (x + \frac{π}{4}) \tan (2 x + \frac{π}{4}) \tan (\frac{π}{4} - 3 x)}{x^{3}} = ?$

Question Number 154651 Answers: 1 Comments: 0

let be A = ((1,1),(0,1) ) ; B = ((1,0),(1,1) ) find 𝛀 = e^A ∙ (e^B )^(−1) (e^A - exponential matrix)

$let be A = (\begin{matrix} 1 & 1 \\ 0 & 1 \end{matrix}); B = (\begin{matrix} 1 & 0 \\ 1 & 1 \end{matrix})$ $find Ω = e^{A} \cdot {(e^{B})}^{- 1}$ $(e^{A} - exponential matrix)$

Question Number 154648 Answers: 0 Comments: 0

Question Number 154647 Answers: 1 Comments: 0

f : Q → Q f(x + f(y)) = y + f(x) ∀ x;y ∈ Q

$f : Q \to Q$ $f (x + f (y)) = y + f (x)$ $\forall x; y \in Q$

Question Number 154641 Answers: 2 Comments: 0

∫((1−(√x))/( (√(1−x))))dx

$\int \frac{1 - \sqrt{x}}{\sqrt{1 - x}} d x$

Question Number 154640 Answers: 2 Comments: 0

Σ_1 ^(89) sin^2 (x)=?

$\underset{1}{\sum^{89}} {s i n}^{2} (x) = ?$

Question Number 154622 Answers: 0 Comments: 0

Question Number 154613 Answers: 0 Comments: 3

There are 3 or more profiles of this person and I mentioned it, he knowes who he and that person paints what I share in red, do his best, nothing will chang!

$There are 3 or more profiles of this$ $person and I mentioned it, he knowes$ $who he and that person paints what$ $I share in red, do his best, nothing will$ $chang!$

Question Number 154621 Answers: 2 Comments: 1

∫ ((√(x^2 +x+1))/(x^2 +x)) dx

$\int \frac{\sqrt{x^{2} + x + 1}}{x^{2} + x} d x$

Question Number 154599 Answers: 1 Comments: 1

Question Number 154596 Answers: 0 Comments: 0

let x;y;z>0 prove that: (z/( (√(x^2 +y^2 )))) + (√2) ≥ 2 (√(z/(x+y))) + ((√(2xy))/(x+y))

$let x; y; z > 0 prove that :$ $\frac{z}{\sqrt{x^{2} + y^{2}}} + \sqrt{2} ⩾ 2 \sqrt{\frac{z}{x + y}} + \frac{\sqrt{2 xy}}{x + y}$

Question Number 154593 Answers: 1 Comments: 1

Question Number 154594 Answers: 0 Comments: 2

Question Number 154561 Answers: 1 Comments: 0

Question Number 154557 Answers: 0 Comments: 0

∫_0 ^( ∞) (1/((Σ_(n=0) ^(⌈x^2 ⌉) n)^2 )) dx

$\int_{0}^{\infty} \frac{1}{{(\underset{n = 0}{\sum^{⌈ x^{2} ⌉}} n)}^{2}} d x$

Question Number 154554 Answers: 2 Comments: 1

Question Number 154553 Answers: 0 Comments: 0

Π_(n=1) ^∞ (( Γ(n+ (1/n^2 )) )/( Γ(n+ (1/n)) ))

$\underset{n = 1}{\prod^{\infty}} \frac{Γ (n + \frac{1}{n^{2}})}{Γ (n + \frac{1}{n})}$

Question Number 154552 Answers: 2 Comments: 28

Question Number 154549 Answers: 4 Comments: 1

A particle is projected with velocity 2(√(gh)) so that it just clears two walls of equal heigh(h) in the t_1 and t_(2 ) respectively.The two walls are at a distance of 2h from each other.If time passing between the two walls is 2(√(h/g)) show that (i) angle projected 60^° (ii)t_1 +t_2 =2(√((3h)/g))

$A particle is projected with velocity$ $2 \sqrt{gh} so that it just clears two$ $walls of equal heigh (h) in the$ $t_{1} and t_{2} respectively . The two$ $walls are at a distance of 2 h from$ $each other . If time passing$ $between the two walls is 2 \sqrt{\frac{h}{g}}$ $show that (i) angle projected 60^{°}$ $(ii) t_{1} + t_{2} = 2 \sqrt{\frac{3 h}{g}}$

Question Number 154547 Answers: 1 Comments: 0

A particle is projected inside the tunnel which is 4m high.if the initial speed is V_o .show that the maximum range inside the tunnel is given by R=4(√2) (√((V_o ^2 /g)−8))

$A particle is projected inside the tunnel$ $which is 4 m high . if the initial speed$ $is V_{o} . show that the maximum$ $range inside the tunnel is given$ $by R = 4 \sqrt{2} \sqrt{\frac{V_{o}^{2}}{g} - 8}$

Question Number 154573 Answers: 2 Comments: 1

Question Number 154544 Answers: 0 Comments: 0

determinant (((prove that)),((Σ_(n=1) ^∞ ((H_n H_n ^((2)) )/n^3 )+Σ_(n=1) ^∞ ((H_n H_n ^((3)) )/n^2 )=((21)/8)𝛇(6)+𝛇^2 (3)))) by Math.Amin 11.fb.96

$\begin{array}{cc} prove that \\ \underset{n = 1}{\sum^{\infty}} \frac{H_{n} H_{n}^{(2)}}{n^{3}} + \underset{n = 1}{\sum^{\infty}} \frac{H_{n} H_{n}^{(3)}}{n^{2}} = \frac{21}{8} ζ (6) + ζ^{2} (3) \end{array}$ $b y M a t h . A m i n 11 . f b . 96$

Pg 578 Pg 579 Pg 580 Pg 581 Pg 582 Pg 583 Pg 584 Pg 585 Pg 586 Pg 587

Contact: info@tinkutara.com