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AllQuestion and Answers: Page 740

Question Number 139056 Answers: 0 Comments: 0

(x^2 −10×+6)^(x−2) >1

Question Number 139055 Answers: 2 Comments: 0

Let a and b be complex numbers representing the points A and B respectively in the complex plane. If (a/b)+(b/a)=1 and O is the origin. Then ΔOAB is ?

$Let a and b be complex numbers representing the points$ $A and B respectively in the complex plane .$ $If \frac{a}{b} + \frac{b}{a} = 1 and O is the origin . Then Δ OAB is ?$

Question Number 139053 Answers: 1 Comments: 1

Question Number 139052 Answers: 1 Comments: 0

(1+z)^n =(1−z)^n where z is a complex number

${(1 + z)}^{n} = {(1 - z)}^{n}$ $w h e r e z i s a c o m p l e x n u m b e r$

Question Number 139051 Answers: 1 Comments: 5

a;b;c∈N (a+b)(a+2b)(a+3b)=105^c

$a; b; c \in N$ $(a + b) (a + 2 b) (a + 3 b) = 105^{c}$

Question Number 142248 Answers: 0 Comments: 2

Question Number 142246 Answers: 1 Comments: 0

Question Number 142245 Answers: 0 Comments: 0

developp at fourier serie f(x)=(1/(λ +sinx))( λ real >0)

$developp at fourier serie f (x) = \frac{1}{λ + sinx} (λ real > 0)$

Question Number 139032 Answers: 1 Comments: 0

Question Number 139029 Answers: 2 Comments: 0

Given f(x+(√(1+x^2 )))= (x/(x+1)) find f(x)=?

$Given f (x + \sqrt{1 + x^{2}}) = \frac{x}{x + 1}$ $find f (x) = ?$

Question Number 139027 Answers: 1 Comments: 1

find Re(z) and Im(z) of [(e^(i(1+2k)π) )^(1/(10)) +1]^(−1)

$f i n d R e (z) a n d I m (z) o f {[{(e^{i (1 + 2 k) π})}^{\frac{1}{10}} + 1]}^{- 1}$

Question Number 139024 Answers: 2 Comments: 1

Find the exact value of cos (π/5)

$Find the exact value of \cos \frac{π}{5}$

Question Number 139023 Answers: 1 Comments: 0

find Re(z) and Im(z) of z=(−2i)^(−(3/2))

$f i n d R e (z) a n d I m (z) o f z = {(- 2 i)}^{- \frac{3}{2}}$

Question Number 139036 Answers: 3 Comments: 0

prove :: 𝛗=∫_0 ^( ∞) ((√x)/(x^2 +2x+5))dx=(π/(2(√ϕ))) ϕ:= golden ratio ...

$p r o v e ::$ $ϕ = \int_{0}^{\infty} \frac{\sqrt{x}}{x^{2} + 2 x + 5} d x = \frac{π}{2 \sqrt{φ}}$ $φ := g o l d e n r a t i o . . .$

Question Number 139014 Answers: 0 Comments: 0

Question Number 139013 Answers: 1 Comments: 0

Question Number 139002 Answers: 0 Comments: 2

Question Number 139001 Answers: 1 Comments: 0

lim_(x→0) ((((1+sin^2 x))^(1/3) −((1−2tan x))^(1/4) )/(sin x+tan^2 x)) =?

$\lim_{x \to 0} \frac{\sqrt[3]{1 + \sin^{2} x} - \sqrt[4]{1 - 2 \tan x}}{\sin x + \tan^{2} x} = ?$

Question Number 138999 Answers: 1 Comments: 0

The number of solutions of equations (√(13−18tan x)) = 6tan x−3 where −2π<x<2π is

$The number of solutions$ $of equations \sqrt{13 - 18 \tan x} = 6 \tan x - 3$ $where - 2 π < x < 2 π is$

Question Number 138998 Answers: 1 Comments: 0

∫ ((e^(−1/x) /x^2 )) dx =?

$\int (\frac{e^{- 1 / x}}{x^{2}}) d x = ?$

Question Number 138997 Answers: 1 Comments: 0

lim_(x→1) ((((7+x^3 ))^(1/3) −(√(3+x^2 )))/(x−1))=?

$\lim_{x \to 1} \frac{\sqrt[3]{7 + x^{3}} - \sqrt{3 + x^{2}}}{x - 1} = ?$

Question Number 138996 Answers: 2 Comments: 0

lim_(x→π/2) (((√2)−(√(1+sin x)))/( (√2) cos^2 x)) =?

$\lim_{x \to π / 2} \frac{\sqrt{2} - \sqrt{1 + \sin x}}{\sqrt{2} \cos^{2} x} = ?$

Question Number 138994 Answers: 1 Comments: 0

Question Number 138993 Answers: 0 Comments: 0

∫ (√(x+(√(x−(√(x+(√(x−(√(x+(√(x−(√(x+...)))))))))))))) dx

$\int \sqrt{x + \sqrt{x - \sqrt{x + \sqrt{x - \sqrt{x + \sqrt{x - \sqrt{x + . . .}}}}}}} dx$

Question Number 138989 Answers: 1 Comments: 0

find the integers x , y , z , n that satisfy : 2^n =x!+y!+z!

$f i n d t h e i n t e g e r s x, y, z, n t h a t$ $s a t i s f y : 2^{n} = x! + y! + z!$

Question Number 138983 Answers: 0 Comments: 0

Show that the set of complex numbers C under the usual addition and multiplication form a field. (C,+,×)

$Show that the set of complex numbers C under the usual$ $addition and multiplication form a field .$ $(C, +, \times)$

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