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AllQuestion and Answers: Page 214

Question Number 194640 Answers: 1 Comments: 0

Question Number 194638 Answers: 1 Comments: 1

Prove that ∀n∈IN^∗ Σ_(k=1) ^(2^n −1) (1/(sin^2 (((kπ)/2^(n+1) ))))= ((2^(2n+1) −2)/3) Give in terms of n Σ_(k=1) ^(2^n −1) (1/(sin^4 (((kπ)/2^(n+1) ))))

$Prove that \forall n \in {IN}^{*}$ $\underset{k = 1}{\sum^{2^{n} - 1}} \frac{1}{{s i n}^{2} (\frac{k π}{2^{n + 1}})} = \frac{2^{2 n + 1} - 2}{3}$ $Give in terms of n \underset{k = 1}{\sum^{2^{n} - 1}} \frac{1}{{s i n}^{4} (\frac{k π}{2^{n + 1}})}$

Question Number 194637 Answers: 4 Comments: 1

x+y=1 x^2 +y^2 =2 x^(11) +y^(11) =?

$x + y = 1$ $x^{2} + y^{2} = 2$ $x^{11} + y^{11} = ?$

Question Number 194636 Answers: 0 Comments: 3

Question Number 194634 Answers: 1 Comments: 0

a_1 ,a_2 ,a_3 ,....,a_n >0 such that a_i ∈[0,i] ∀ i∈{1,2,3,4,...,n} prove that 2^n .a_1 (a_1 +a_2 )...(a_1 +a_2 +...+a_n )≥(n+1)(a_1 ^2 .a_2 ^2 ...a_n ^2 )

$a_{1}, a_{2}, a_{3}, . . . ., a_{n} > 0 s u c h t h a t a_{i} \in [0, i]$ $\forall i \in {1, 2, 3, 4, . . ., n} p r o v e t h a t$ $2^{n} . a_{1} (a_{1} + a_{2}) . . . (a_{1} + a_{2} + . . . + a_{n}) ⩾ (n + 1) (a_{1}^{2} . a_{2}^{2} . . . a_{n}^{2})$

Question Number 194624 Answers: 2 Comments: 2

Question Number 194619 Answers: 1 Comments: 0

Find the sum of the roots of the equation: −3x^3 + 8x^2 − 6x − 7 = 0

$Find the sum of the roots of the$ $equation :$ $- {3 x}^{3} + {8 x}^{2} - 6 x - 7 = 0$

Question Number 194612 Answers: 1 Comments: 2

Question Number 194613 Answers: 2 Comments: 0

$\underset{―}{}$

Question Number 194610 Answers: 1 Comments: 0

where can I learn about multiple sigma notaions of dependent and independent variables something like this Σ_(1≤i) Σ_(<j) Σ_(<k≤1) (i+j+k)=λ find λ I want to know what to study

$w h e r e c a n I l e a r n a b o u t m u l t i p l e s i g m a n o t a i o n s$ $o f d e p e n d e n t a n d i n d e p e n d e n t v a r i a b l e s$ $s o m e t h i n g l i k e t h i s$ $\sum_{1 ⩽ i} \sum_{< j} \sum_{< k ⩽ 1} (i + j + k) = λ$ $f i n d λ$ $I w a n t t o k n o w w h a t t o s t u d y$

Question Number 194606 Answers: 0 Comments: 0

When a kichen is removed from an oven, its temperature is measured at 300^0 F. Three minutes later, its temperature is 200^0 F. How longwill it take the kitchen to cool of to a room temperature of 70^0 F?

$When a kichen is removed from an$ $oven, its temperature is measured at$ $300^{0} F . Three minutes later, its$ $temperature is 200^{0} F . How longwill$ $it take the kitchen to cool of to a$ $room temperature of 70^{0} F ?$

Question Number 194604 Answers: 0 Comments: 0

Question Number 194602 Answers: 1 Comments: 0

A ball is thrown vertically upwards with a velocity of 10m/s from a point 75 m above the ground. Calculate the velocity with which it hits the ground.

Question Number 194600 Answers: 1 Comments: 0

An object is pulled up a smooth plane inclined at angle 45° to the horizontal. If the plane is 25 m long and the object comes to rest at the top, correct to two decimal places the: (i) initial speed of the object (ii) time taken to reach the top.

Question Number 194599 Answers: 0 Comments: 0

A tank contains 300 litres of fluid in which 20 grams of salt is dissolved. Brine containing 1 gm of salt per litre is then pumped into the tank at a rate of 4L/min; the well mixed solution is pumped out at the same rate. Find the number N(t) of grams of salt in the tank at time t.

$A tank contains 300 litres of fluid in$ $which 20 grams of salt is dissolved .$ $Brine containing 1 gm of salt per litre$ $is then pumped into the tank at a rate$ $of 4 L / \min; the well mixed solution$ $is pumped out at the same rate .$ $Find the number N (t) of grams of$ $salt in the tank at time t .$

Question Number 194598 Answers: 0 Comments: 2

please what is the best android apps to drow complex functions and fractals ?

$p l e a s e$ $w h a t i s t h e b e s t a n d r o i d$ $a p p s t o d r o w c o m p l e x$ $f u n c t i o n s a n d f r a c t a l s ?$

Question Number 194593 Answers: 3 Comments: 0

Question Number 194591 Answers: 0 Comments: 0

∫_(−2) ^2 ∫_(2x^2 ) ^8 ∫_(−(√((1/2)y−x^2 ))) ^(√((1/2)y−x^2 )) ((√(3x^2 +3z^2 )) )dzdydx

$\underset{- 2}{\int^{2}} \underset{{2 x}^{2}}{\int^{8}} \underset{- \sqrt{\frac{1}{2} y - x^{2}}}{\int^{\sqrt{\frac{1}{2} y - x^{2}}}} (\sqrt{{3 x}^{2} + {3 z}^{2}}) dzdydx$

Question Number 194586 Answers: 1 Comments: 2

abc = e^3 + d^3 + f^3 edf = a^3 + b^3 + c^3 find: abc and edf

$abc = e^{3} + d^{3} + f^{3}$ $edf = a^{3} + b^{3} + c^{3}$ $find : abc and edf$

Question Number 194579 Answers: 2 Comments: 0

if u_n =(1/( (√5)))[(((1+(√5))/2))^n −(((1−(√5))/2))^n ] then u_(n+1) =u_n +u_(n−1) ? ; n=0,1,2,..

$i f u_{n} = \frac{1}{\sqrt{5}} [{(\frac{1 + \sqrt{5}}{2})}^{n} - {(\frac{1 - \sqrt{5}}{2})}^{n}]$ $t h e n u_{n + 1} = u_{n} + u_{n - 1} ?; n = 0, 1, 2, . .$

Question Number 194573 Answers: 0 Comments: 0

Question Number 194568 Answers: 1 Comments: 0

Equation.. J_𝛍 ^((1)) (z)Y_𝛍 (z)−J_𝛍 (z)Y_𝛍 ^((1)) (z)=−(2/(πz)) plz......Solve this Equation....... J_𝛍 (z) is First Kind Bessel Function Y_𝛍 (z) is Second Kind Bessel Function (aka Neuman Function) f^((n)) (z) n times derivate f(z) respect z

$Equation . .$ $J_{μ}^{(1)} (z) Y_{μ} (z) - J_{μ} (z) Y_{μ}^{(1)} (z) = - \frac{2}{π z}$ $plz . . . . . . Solve this Equation . . . . . . .$ $J_{μ} (z) is First Kind Bessel Function$ $Y_{μ} (z) is Second Kind Bessel Function$ $(aka Neuman Function)$ $f^{(n)} (z) n times derivate f (z) respect z$

Question Number 194564 Answers: 2 Comments: 0

soit A(2,1) B(3,2) C(4,3) points du plan( ox,oy) 1)Determiner l ′ equation du cercle qui passe par A; B; C ? 2) points d intersection du cercle avec l axe(ox,oy)?

$soit A (2, 1) B (3, 2) C (4, 3) points du$ $plan (ox, oy)$ $1) Determiner l^{'} equation du cercle qui$ $passe par A; B; C ?$ $2) points d intersection du cercle avec$ $l axe (ox, oy) ?$

Question Number 194563 Answers: 0 Comments: 0

A mass of 12kg rests on a smooth inclined plane which is 6m long and 1m high. The mass is connected by a light inextensible string which passes over a smooth pulley fixed at the top of the plane to a mass of 4kg which is hanging freely. With the string taut, the system is released from rest. Using Polya problem solving approach find the following: a. acceleration of the system b i. velocity with which the 4kg mass hits the ground. b ii. time the 4kg mass takes to hit the ground

$A mass of 12 kg rests on a smooth inclined$ $plane which is 6 m long and 1 m high .$ $The mass is connected by a light inextensible$ $string which passes over a smooth pulley$ $fixed at the top of the plane to a mass of$ $4 kg which is hanging freely . With the$ $string taut, the system is released from rest .$ $Using Polya problem solving approach$ $find the following :$ $a . acceleration of the system$ $b i . velocity with which the 4 kg mass hits$ $the ground .$ $b ii . time the 4 kg mass takes to hit the ground$

Question Number 194560 Answers: 1 Comments: 0

Question Number 194559 Answers: 2 Comments: 0

repeat question Shiw that : Σ_(i=1) ^n ((1/(2i−1))−(1/(2i)))=Σ_(i=1) ^n (1/(n+i)) ?

$r e p e a t q u e s t i o n$ $S h i w t h a t :$ $\underset{i = 1}{\sum^{n}} (\frac{1}{2 i - 1} - \frac{1}{2 i}) = \underset{i = 1}{\sum^{n}} \frac{1}{n + i} ?$

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