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Question Number 92235 Answers: 0 Comments: 0

let 0<p<1 and x>0 prove that x^2 ≤ (1−p)( ^((1−p)) (√x) ) +p (^p (√x))

$l e t 0 < p < 1 a n d x > 0$ $p r o v e t h a t x^{2} ⩽ (1 - p) (^{(1 - p)} \sqrt{x}) + p (^{p} \sqrt{x})$

Question Number 92521 Answers: 0 Comments: 10

Question Number 90468 Answers: 0 Comments: 1

Question Number 89033 Answers: 1 Comments: 0

Question Number 88860 Answers: 0 Comments: 3

Question Number 88756 Answers: 0 Comments: 0

E is reported in (i^→ ;j^→ ) base. e_1 ^→ =2i^→ +3j^→ ; e_2 ^→ =i^→ −2j^→ and e_3 ^→ =4i^→ −5j^→ belong to E. 1)Determinate the cordonnates of e_3 ^→ in the base B(e_1 ^→ ;e_2 ^→ ).

$E is reported in (\vec{i}; \vec{j}) base .$ ${\vec{e}}_{1} = 2 \vec{i} + 3 \vec{j}; {\vec{e}}_{2} = \vec{i} - 2 \vec{j} and {\vec{e}}_{3} = 4 \vec{i} - 5 \vec{j}$ $belong to E .$ $1) Determinate the cordonnates of {\vec{e}}_{3} in the$ $base B ({\vec{e}}_{1}; {\vec{e}}_{2}) .$

Question Number 88214 Answers: 2 Comments: 0

Question Number 87759 Answers: 0 Comments: 2

Question Number 87682 Answers: 0 Comments: 0

what is ▽^2 ((1/r^→ )) if ▽^→ = i^ (∂/∂x)+j^ (∂/∂y)+k^ (∂/∂z) and r^→ = i^ x + j^ y + k^ z

$what is ▽^{2} (\frac{1}{\vec{r}}) if$ $\vec{▽} = \hat{i} \frac{\partial}{\partial x} + \hat{j} \frac{\partial}{\partial y} + \hat{k} \frac{\partial}{\partial z}$ $and \vec{r} = \hat{i x} + \hat{j y} + \hat{k z}$

Question Number 87508 Answers: 0 Comments: 1

Question Number 86918 Answers: 0 Comments: 2

Question Number 85865 Answers: 1 Comments: 0

prove that curl(r^n c^→ ×r^→ )=(n+2)r^n c^→ −nr^(n−2) (r^→ .c^→ ) . where c is the constant vector.

$prove that$ $curl (r^{n} \vec{c} \times \vec{r}) = (n + 2) r^{n} \vec{c} - {nr}^{n - 2} (\vec{r} . \vec{c}) .$ $where c is the constant vector .$

Question Number 84849 Answers: 0 Comments: 5

ABC is a triangle prove that sinA+sinB+sinC>sinA sinB sinC

$A B C i s a t r i a n g l e$ $p r o v e t h a t$ $s i n A + s i n B + s i n C > s i n A s i n B s i n C$

Question Number 84641 Answers: 1 Comments: 1

Question Number 84296 Answers: 0 Comments: 1

Question Number 84275 Answers: 1 Comments: 2

(a.c)b−(a.b)c = a×(c×b) ?

$(a . c) b - (a . b) c = a \times (c \times b) ?$

Question Number 83556 Answers: 2 Comments: 0

find the value of (b) wich makes the line y=b divide the tow funtions into tow equal parts 1) f(x)=9−x^2 , g(x)=0 2)f(x)=9−∣x∣ , g(x)=0

$f i n d t h e v a l u e o f (b) w i c h m a k e s t h e$ $l i n e y = b d i v i d e t h e t o w f u n t i o n s i n t o$ $t o w e q u a l p a r t s$ $1) f (x) = 9 - x^{2}, g (x) = 0$ $2) f (x) = 9 - ∣ x ∣, g (x) = 0$

Question Number 83293 Answers: 0 Comments: 0

Let A (((−2)),((−1)) ) ,B ((1),(3) ) , C (((−10)),(( 5)) ) three given points in the brand (O,I,J) such as OI=OJ and (OI)⊥(OJ) D is a point such as AD=AC+2 and CD=2 Prove correctly that BD=13 .Can you find the coordinate of D?

$L e t A (\begin{matrix} - 2 \\ - 1 \end{matrix}), B (\begin{matrix} 1 \\ 3 \end{matrix}), C (\begin{matrix} - 10 \\ 5 \end{matrix}) t h r e e g i v e n p o i n t s i n t h e b r a n d (O, I, J) s u c h a s O I = O J a n d (O I) ⊥ (O J)$ $D i s a p o i n t s u c h a s A D = A C + 2 a n d C D = 2$ $P r o v e c o r r e c t l y t h a t B D = 13 . C a n y o u f i n d t h e c o o r d i n a t e o f D ?$

Question Number 83288 Answers: 0 Comments: 0

Question Number 83268 Answers: 1 Comments: 0

Question Number 82284 Answers: 0 Comments: 0

Question Number 82277 Answers: 0 Comments: 4

Question Number 82056 Answers: 0 Comments: 0

g(M)=2MB^→ .MC^→ +MC^→ .MA^→ +MA^→ .MB^→ g(G)=4MA^2 +3MA^→ (AB^→ +AC^→ ) 1) show that ∀ M ∈ plan g(M)=g(G)+4MG^2 2) Determine the set of point M of plan such as g(M)=g(A) 2) Construct this set of point M in the case where g(G)=5.

$g (M) = 2 M \vec{B} . M \vec{C} + M \vec{C} . M \vec{A} + M \vec{A} . M \vec{B}$ $g (G) = 4 {M A}^{2} + 3 M \vec{A} (A \vec{B} + A \vec{C})$ $1) s h o w t h a t \forall M \in p l a n$ $g (M) = g (G) + 4 {M G}^{2}$ $2) D e t e r m i n e t h e s e t o f p o i n t M o f p l a n$ $s u c h a s g (M) = g (A)$ $2) C o n s t r u c t t h i s s e t o f p o i n t M$ $i n t h e c a s e w h e r e g (G) = 5 .$

Question Number 81498 Answers: 1 Comments: 0

what the formula a^ × (b^ ×c^ ) ?

$what the formula$ $\bar{a} \times (\bar{b} \times \bar{c}) ?$

Question Number 81295 Answers: 1 Comments: 2

what is vector unit orthogonal to (1,2,−2) and parallel to yz−plane?

$w h a t i s v e c t o r u n i t o r t h o g o n a l$ $t o (1, 2, - 2) a n d p a r a l l e l t o$ $y z - p l a n e ?$

Question Number 81104 Answers: 0 Comments: 4

(a^ ×b^ ).c^ = (a×c) . (b×c). it right?

$(\bar{a} \times \bar{b}) . \bar{c} = (a \times c) . (b \times c) . i t r i g h t ?$

Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10 Pg 11 Pg 12

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