Question and Answers Forum

AllQuestion and Answers: Page 374

Question Number 176540 Answers: 1 Comments: 0

Question Number 176531 Answers: 1 Comments: 4

Dans la figure ci−joint AB∣∣ A^′ B^′ AA^′ =BB^′ =CC^′ Determiner le rapport ((aire Δ(A^′ B^′ C^′ ))/(aire Δ(ABC)))=?

$D a n s l a f i g u r e c i - j o i n t$ $A B ∣∣ A^{^{'}} B^{^{'}} {A A}^{^{'}} = {B B}^{^{'}} = {C C}^{^{'}}$ $D e t e r m i n e r l e r a p p o r t$ $\frac{a i r e Δ (A^{^{'}} B^{^{'}} C^{^{'}})}{a i r e Δ (A B C)} = ?$

Question Number 176514 Answers: 1 Comments: 0

△ABC, sinA=cosB=tanC find the value of cos^3 A+cos^2 A−cosA.

$△ A B C, \sin A = \cos B = \tan C$ $find the value of \cos^{3} A + \cos^{2} A - \cos A .$

Question Number 176513 Answers: 1 Comments: 0

z∈C, ((z−3i)/(z+i))∈R^− , ((z−3)/(z+1))∈I find z.

$z \in C, \frac{z - 3 i}{z + i} \in R^{-}, \frac{z - 3}{z + 1} \in I$ $find z .$

Question Number 176501 Answers: 1 Comments: 1

find the range of x+y such that (x−2)^2 + (y−4)^2 = 49

$find the range of x + y such that$ ${(x - 2)}^{2} + {(y - 4)}^{2} = 49$

Question Number 176490 Answers: 2 Comments: 0

solve ( x,y ∈ R ) { (( tan(x ) + tan (y )=2)),(( tan(2x ) + tan( 2y ) = 2)) :} −−−−−−−−

$s o l v e (x, y \in R)$ ${\begin{cases} \tan (x) + \tan (y) = 2 \\ \tan (2 x) + \tan (2 y) = 2 \end{cases}$ $- - - - - - - -$

Question Number 176486 Answers: 1 Comments: 0

lim_(x→0) [ ((tan x−x)/x^5 ) −(1/(3x^2 )) ]=?

$\lim_{x \to 0} [\frac{\tan x - x}{x^{5}} - \frac{1}{{3 x}^{2}}] = ?$

Question Number 176485 Answers: 2 Comments: 1

Question Number 176482 Answers: 0 Comments: 0

L(E) est l′algebre des endomorphisme continus d′un espace de Banach E, muni de la norme d′application lineaire ; GL(E) est le sous ensemble des elements inversibles de L(E) a)Montrer que GL(E) est ouvert dans L(E) b)montrer que l′application ∅:GL(E)→GL(E) u→u^(−1) =∅(u) est continu dans GL(E) c)montrer que ∅ est differentiable dans GL(E) dt calculer d∅

$L (E) e s t l^{'} a l g e b r e d e s e n d o m o r p h i s m e$ $c o n t i n u s d^{'} u n e s p a c e d e B a n a c h E,$ $m u n i d e l a n o r m e d^{'} a p p l i c a t i o n l i n e a i r e$ $; G L (E) e s t l e s o u s e n s e m b l e d e s$ $e l e m e n t s i n v e r s i b l e s d e L (E)$ $a) M o n t r e r q u e G L (E) e s t o u v e r t d a n s$ $L (E)$ $b) m o n t r e r q u e l^{'} a p p l i c a t i o n$ $\emptyset : G L (E) \to G L (E)$ $u \to u^{- 1} = \emptyset (u) e s t c o n t i n u d a n s G L (E)$ $c) m o n t r e r q u e \emptyset e s t d i f f e r e n t i a b l e$ $d a n s G L (E) d t c a l c u l e r d \emptyset$

Question Number 176472 Answers: 1 Comments: 0

solve for x,y,z with x+y+z=x^2 +y^2 +z^2 =x^3 +y^3 +z^3 =5

$s o l v e f o r x, y, z w i t h$ $x + y + z = x^{2} + y^{2} + z^{2} = x^{3} + y^{3} + z^{3} = 5$

Question Number 176468 Answers: 1 Comments: 1

((sin (2x+18°))/(sin (2x+12°))) =(√((sin 36°)/(sin 48°))) tan 2x = (√(tan M)) .(√(tan N)) 0°<M,N<90° ⇒M+N=?°

$\frac{\sin (2 x + 18 °)}{\sin (2 x + 12 °)} = \sqrt{\frac{\sin 36 °}{\sin 48 °}}$ $\tan 2 x = \sqrt{\tan M} . \sqrt{\tan N}$ $0 ° < M, N < 90 ° \Rightarrow M + N = ? °$

Question Number 176462 Answers: 1 Comments: 1

In ΔABC given ((2a)/(tan A)) = (b/(tan B)) then ((sin^2 A−cos^2 B)/(cos^2 A+cos^2 B))=?

$I n Δ A B C g i v e n \frac{2 a}{\tan A} = \frac{b}{\tan B}$ $t h e n \frac{\sin^{2} A - \cos^{2} B}{\cos^{2} A + \cos^{2} B} = ?$

Question Number 176458 Answers: 5 Comments: 0

x^2 +x=1 ((x^5 +8)/(x+1))=?

$x^{2} + x = 1$ $\frac{x^{5} + 8}{x + 1} = ?$

Question Number 176453 Answers: 2 Comments: 0

If , α , β , γ ∈ ( 0 , 1 ) , then prove that : (√((1−^ α ).(1−^ β ). (1−^ γ ))) +(√(α^ .β^ .γ^ )) < 1

$I f, α, β, γ \in (0, 1), t h e n$ $p r o v e t h a t :$ $\sqrt{(1 \overset{}{-} α) . (1 \overset{}{-} β) . (1 \overset{}{-} γ)} + \sqrt{\overset{}{α} . \overset{}{β} . \overset{}{γ}} < 1$

Question Number 176449 Answers: 0 Comments: 0

A fair dice was thrown twice and it landed on a and b respectively then the probability that cubic equation x^3 −(3a+1)x^2 +(3a+2b)x−2b=0 has three distinct root

$A fair dice was thrown twice and$ $it landed on a and b respectively then$ $the probability that cubic equation$ $x^{3} - (3 a + 1) x^{2} + (3 a + 2 b) x - 2 b = 0$ $has three distinct root$