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Question Number 184875 Answers: 1 Comments: 0

Question Number 184873 Answers: 1 Comments: 0

Find the real number satisfying x=(√(1+(√(1+(√(1+x))))))

$Find the real number satisfying$ $x = \sqrt{1 + \sqrt{1 + \sqrt{1 + x}}}$

Question Number 184872 Answers: 0 Comments: 0

An odd function f(x) whose domain is R satisfies f(x)=f(x+2). When x ∈ (0, 1), f(x)=−2x^2 +ax−2. If f has 2023 zeros in [0, 1011]. Then the range of a can be ? A. [−6, −2(√2)] B. [−4, −2(√2)] C. [−8, −6] D. [−6, −4]

$An odd function f (x) whose domain is R$ $satisfies f (x) = f (x + 2) . When x \in (0, 1),$ $f (x) = - 2 x^{2} + a x - 2 .$ $If f has 2023 zeros in [0, 1011] . Then the$ $range of a can be ?$ $A . [- 6, - 2 \sqrt{2}] B . [- 4, - 2 \sqrt{2}]$ $C . [- 8, - 6] D . [- 6, - 4]$

Question Number 184869 Answers: 1 Comments: 0

Question Number 184866 Answers: 1 Comments: 1

Question Number 184861 Answers: 0 Comments: 0

x ∈ [−0,5 ; 0,5] find the product of all x′s 3(cos^2 πx + sinπy) + 2 = 9 + 3 ∣sinπx ∙ sinπy∣−sinπy

$x \in [- 0, 5; 0, 5]$ $find the product of all x^{'} s$ $3 (\cos^{2} π x + \sin π y) + 2 = 9 + 3 ∣ \sin π x \cdot \sin π y ∣ - \sin π y$

Question Number 184859 Answers: 2 Comments: 0

Lim_( x→∞) x^( 4) ( 1− cos (1− cos((2/x))))=?

${Lim}_{x \to \infty} x^{4} (1 - c o s (1 - c o s (\frac{2}{x}))) = ?$

Question Number 184858 Answers: 1 Comments: 0

Σ_(n=o) ^(+oo) (((−1)^n x^(2n+1) )/(4n^2 −1))

$\underset{n = o}{\sum^{+ o o}} \frac{{(- 1)}^{n} x^{2 n + 1}}{4 n^{2} - 1}$

Question Number 184856 Answers: 0 Comments: 0

f(x)= (√( ∣ x_ ^ ∣ −∣ x−_ ^ ⌊ax⌋ ∣)) ; a ∈ [ 3 , 4 ) find : { (( D_( f) =? (domain ))),(( R_( f) =? (range ))) :}

$f (x) = \sqrt{∣ \underset{}{\overset{}{x}} ∣ - ∣ x \underset{}{\overset{}{-}} ⌊ a x ⌋ ∣}$ $; a \in [3, 4)$ $f i n d : {\begin{cases} D_{f} = ? (d o m a i n) \\ R_{f} = ? (r a n g e) \end{cases}$

Question Number 184845 Answers: 0 Comments: 0

x ∈ [−0,5 ; 0,5] find the product of all x′s 1. 4sin^2 πx−4sinπx + 2 = 2sin^2 πy−1 2. 4sinπx = 4sinπy − 7 − (1/(sin^2 πx))

$x \in [- 0, 5; 0, 5]$ $find the product of all x^{'} s$ $1 . {4 \sin}^{2} π x - 4 \sin π x + 2 = {2 \sin}^{2} π y - 1$ $2 . 4 \sin π x = 4 \sin π y - 7 - \frac{1}{\sin^{2} π x}$

Question Number 184843 Answers: 0 Comments: 0

Question Number 184841 Answers: 1 Comments: 0

Question Number 184839 Answers: 3 Comments: 0

xy − 3x = 27 −5y find all (x , y) in Z^2

$x y - 3 x = 27 - 5 y$ $f i n d a l l (x, y) i n Z^{2}$

Question Number 184832 Answers: 4 Comments: 1

Given the acceleration a=−4sin2t, initial velocity v(0)=2, and the initial position of the body as s(0)=−3, find the body′s position at time t. Hi

$Given the acceleration$ $a = - 4 \sin 2 t, initial velocity$ $v (0) = 2, and the initial position$ $of the body as s (0) = - 3, find the$ ${body}^{'} s position at time t .$ $Hi$

Question Number 184828 Answers: 0 Comments: 1

Find x in terms of c ∀ 0<c<(2/(3(√3))) (3x^2 −1)(3x^2 +36x−1)^2 ={4(x^3 −x−c)+9(7x^2 +1)}^2

$F i n d x i n t e r m s o f c \forall 0 < c < \frac{2}{3 \sqrt{3}}$ $(3 x^{2} - 1) {(3 x^{2} + 36 x - 1)}^{2}$ $= {4 (x^{3} - x - c) + 9 (7 x^{2} + 1)}^{2}$

Question Number 184823 Answers: 1 Comments: 0

Lim_( x→ 0^( +) ) (( 1− cos ( 1− cos((√x) )))/x^( 4) )

${Lim}_{x \to 0^{+}} \frac{1 - \cos (1 - \cos (\sqrt{x}))}{x^{4}}$

Question Number 184822 Answers: 1 Comments: 0

Question Number 184819 Answers: 2 Comments: 0

For 0≤x≤1 , maximum value of f(x)=x(√(1−x+(√(1−x)))) is __

$F o r 0 ⩽ x ⩽ 1, m a x i m u m v a l u e$ $o f f (x) = x \sqrt{1 - x + \sqrt{1 - x}} i s__$

Question Number 184798 Answers: 0 Comments: 1

Show that lim_(x→0) (x/(∣x∣)) does not exist

$S h o w t h a t$ $\lim_{x \to 0} \frac{x}{∣ x ∣} d o e s n o t e x i s t$

Question Number 184797 Answers: 0 Comments: 1

Show that lim_(x→0) ((e^(1/x) −1)/(e^(1/x) +1)) does not exist

$S h o w t h a t$ $\lim_{x \to 0} \frac{e^{\frac{1}{x}} - 1}{e^{\frac{1}{x}} + 1} d o e s n o t e x i s t$

Question Number 184796 Answers: 1 Comments: 2

Evaluate lim_(x→(π/6)) (((√3)sin x−cos x)/(x−(π/6)))

$E v a l u a t e$ $\lim_{x \to \frac{π}{6}} \frac{\sqrt{3} \sin x - \cos x}{x - \frac{π}{6}}$

Question Number 184795 Answers: 1 Comments: 1

Evaluate lim_(x→0) ((1−cos x(√(cos 2x)) )/x^2 )

$E v a l u a t e$ $\lim_{x \to 0} \frac{1 - \cos x \sqrt{\cos 2 x}}{x^{2}}$

Question Number 184794 Answers: 4 Comments: 2

Evaluate lim_(x→2) ((x^5 −32)/(x^3 −8))

$E v a l u a t e$ $\lim_{x \to 2} \frac{x^{5} - 32}{x^{3} - 8}$

Question Number 184793 Answers: 1 Comments: 0

Evaluate lim_(x→2) ((x^2 −4)/( (√(3x−2))−(√(x+2))))

$E v a l u a t e$ $\lim_{x \to 2} \frac{x^{2} - 4}{\sqrt{3 x - 2} - \sqrt{x + 2}}$

Question Number 184792 Answers: 1 Comments: 2

Evaluate lim_(x→0) ((tan x−sin x)/(sin^3 x))

$E v a l u a t e$ $\lim_{x \to 0} \frac{\tan x - \sin x}{\sin^{3} x}$

Question Number 184791 Answers: 0 Comments: 2

Evaluate lim_(x→0) ((e^x +e^(−x) −2)/x^2 )

$E v a l u a t e$ $\lim_{x \to 0} \frac{e^{x} + e^{- x} - 2}{x^{2}}$

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