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Question Number 153568 Answers: 1 Comments: 0

solve in x∈C sin x=(3/2)

$s o l v e i n x \in C$ $\sin x = \frac{3}{2}$

Question Number 153565 Answers: 1 Comments: 4

define d(n) to be the sum of the digits of n. i.e d(1000) = 1 , d(999) = 27 find d(d(d(d(d(5^(10^(100) ) )))))

$define d (n) to be the sum of the digits$ $of n .$ $i . e d (1000) = 1, d (999) = 27$ $find d (d (d (d (d (5^{10^{100}})))))$

Question Number 153563 Answers: 1 Comments: 0

∫ (1/(1+(√(2x)) )) dx =?

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

Question Number 153555 Answers: 1 Comments: 0

Ω := ∫_0 ^( (π/2)) cos(2x).ln(sin(x))dx=^? −(π/4) solution (1 ) Ω := ∫_0 ^( (π/2)) ( 2cos^( 2) (x)−1)ln(sin(x))dx := 2∫_0 ^( (π/2)) cos^( 2) (x).ln(sin(x))dx−∫_0 ^( (π/2)) ln(sin(x))dx we know that : ∫_0 ^(π/2) ln(sin(x))dx=_(earlier) ^(derived) ((−π)/2) ln(2) ∫_0 ^( (π/2)) cos^( 2) (x).ln(sin(x))dx=_(posts) ^(previous) −(π/4)ln(2)−(π/8) ∴ Ω := −(π/2) ln(2) −(π/4) +(π/2) ln(2) ◂ Ω =− (π/4) ▶ m.n

$Ω := \int_{0}^{\frac{π}{2}} c o s (2 x) . l n (s i n (x)) d x \overset{?}{=} - \frac{π}{4}$ $s o l u t i o n (1)$ $Ω := \int_{0}^{\frac{π}{2}} (2 {c o s}^{2} (x) - 1) l n (s i n (x)) d x$ $:= 2 \int_{0}^{\frac{π}{2}} {c o s}^{2} (x) . l n (s i n (x)) d x - \int_{0}^{\frac{π}{2}} l n (s i n (x)) d x$ $w e k n o w t h a t : \int_{0}^{\frac{π}{2}} l n (s i n (x)) d x \underset{e a r l i e r}{\overset{d e r i v e d}{=}} \frac{- π}{2} l n (2)$ $\int_{0}^{\frac{π}{2}} {c o s}^{2} (x) . l n (s i n (x)) d x \underset{p o s t s}{\overset{p r e v i o u s}{=}} - \frac{π}{4} l n (2) - \frac{π}{8}$ $∴ Ω := - \frac{π}{2} l n (2) - \frac{π}{4} + \frac{π}{2} l n (2)$ $◂ Ω = - \frac{π}{4} ▸ m . n$

Question Number 153553 Answers: 1 Comments: 0

sin(9) + sin(21)+sin(39)=^? (ϕ/( (√2))) ϕ:= golden ratio m.n

$s i n (9) + s i n (21) + s i n (39) \overset{?}{=} \frac{φ}{\sqrt{2}}$ $φ := g o l d e n r a t i o$ $m . n$

Question Number 153542 Answers: 1 Comments: 0

y′′′+y′=sec x

$y^{‴} + y^{'} = \sec x$

Question Number 153537 Answers: 1 Comments: 0

Question Number 153535 Answers: 1 Comments: 0

find ∫((√(x^2 −9))/x^3 ) dx=?

$f i n d \int \frac{\sqrt{x^{2} - 9}}{x^{3}} d x = ?$

Question Number 153532 Answers: 0 Comments: 0

sin(sin(sin(x^(2πx) −1))) = cos(cos(cos(x^(2ex) +1))) x = ?

$\sin (\sin (\sin (x^{2 π x} - 1))) = \cos (\cos (\cos (x^{2 e x} + 1)))$ $x = ?$

Question Number 153518 Answers: 2 Comments: 0

Show whether Σ_(n = 1) ^∞ ((x^2 /(3 + n^2 x^2 ))) is uniformly convegence for real value of x.

$Show whether \underset{n = 1}{\sum^{\infty}} (\frac{x^{2}}{3 + n^{2} x^{2}}) is uniformly convegence for real$ $value of x .$

Question Number 153517 Answers: 0 Comments: 2

L=lim_(x→1) (((√(2019x−2018))−1)/( (x^(2019) )^(1/(2018)) −1)) then 2×L =?

$L = \lim_{x \to 1} \frac{\sqrt{2019 x - 2018} - 1}{\sqrt[2018]{x^{2019}} - 1}$ $t h e n 2 \times L = ?$

Question Number 153513 Answers: 2 Comments: 0

((x/5) + (y/3))((5/x) + (3/y)) = 139, ∀x,y ∈ R_(>0) find maximum and minimum of ((x + y)/( (√(xy))))

$(\frac{x}{5} + \frac{y}{3}) (\frac{5}{x} + \frac{3}{y}) = 139, \forall x, y \in R_{> 0}$ $find maximum and minimum of \frac{x + y}{\sqrt{x y}}$

Question Number 153512 Answers: 1 Comments: 0

a,b,c ∈ Z ∣a−b∣^3 + ∣b−c∣^3 = 1 Find the value of ∣a−b∣ + ∣b−c∣ + ∣c−a∣

$a, b, c \in Z$ $∣ a - b ∣^{3} + ∣ b - c ∣^{3} = 1$ $F i n d t h e v a l u e o f$ $∣ a - b ∣ + ∣ b - c ∣ + ∣ c - a ∣$

Question Number 153508 Answers: 1 Comments: 0

Question Number 153500 Answers: 0 Comments: 0

Evaluate the line integral space if f(r)=Zi+Xj+Yk and C is a helix given by C: r(t)=(cost,sint,−3t) 0≤t≤2π

$E v a l u a t e t h e l i n e i n t e g r a l s p a c e$ $i f f (r) = Z i + X j + Y k a n d C i s a h e l i x$ $g i v e n b y C : r (t) = (c o s t, s i n t, - 3 t) 0 ⩽ t ⩽ 2 π$

Question Number 153488 Answers: 0 Comments: 2

my notifications dont work. am i the only one with this problem? how can i contact tinku tara and do they still update the app?

$my notifications dont work .$ $am i the only one with this problem ?$ $how can i contact tinku tara and$ $do they still update the app ?$

Question Number 153486 Answers: 1 Comments: 0

Question Number 153483 Answers: 2 Comments: 6

Question Number 153479 Answers: 1 Comments: 0

Find area of region that satisfy ∣x−2∣ + ∣y+3∣ < 3

$F i n d a r e a o f r e g i o n t h a t s a t i s f y$ $∣ x - 2 ∣ + ∣ y + 3 ∣ < 3$

Question Number 153478 Answers: 0 Comments: 0

2016−2x = ∣x−a∣+∣x−b∣+∣x−c∣ has only one solution . a<b<c a,b,c ∈ Z Find the lowest value of c.

$2016 - 2 x = ∣ x - a ∣ + ∣ x - b ∣ + ∣ x - c ∣ h a s o n l y o n e s o l u t i o n .$ $a < b < c$ $a, b, c \in Z$ $F i n d t h e l o w e s t v a l u e o f c .$

Question Number 153505 Answers: 1 Comments: 1

Question Number 153472 Answers: 0 Comments: 0

Question Number 176888 Answers: 1 Comments: 3

Question Number 153458 Answers: 0 Comments: 1

Given a set consisting of 22 integer A={±a_1 ,±a_2 ,...,±a_(11) }. Show that exist subset of S with properties (1) for every i=1,2,3,...,11 have least one between a_i or −a_i element of S (2)the sum all possible numbers in S divisible by 2015

$G i v e n a s e t c o n s i s t i n g o f 22 i n t e g e r$ $A = {\pm a_{1}, \pm a_{2}, . . ., \pm a_{11}} . S h o w t h a t$ $e x i s t s u b s e t o f S w i t h p r o p e r t i e s$ $(1) f o r e v e r y i = 1, 2, 3, . . ., 11$ $h a v e l e a s t o n e b e t w e e n a_{i} o r - a_{i}$ $e l e m e n t o f S$ $(2) t h e s u m a l l p o s s i b l e n u m b e r s$ $i n S d i v i s i b l e b y 2015$

Question Number 153457 Answers: 2 Comments: 0

Question Number 153450 Answers: 1 Comments: 0

{ (((x+1)^2 =x+y+2)),(((y+1)^2 =y+z+2)),(((z+1)^2 =z+x+2)) :}

${\begin{cases} {(x + 1)}^{2} = x + y + 2 \\ {(y + 1)}^{2} = y + z + 2 \\ {(z + 1)}^{2} = z + x + 2 \end{cases}$

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