Question and Answers Forum

AllQuestion and Answers: Page 995

Question Number 113353 Answers: 1 Comments: 0

What is the maximum number of points to be distributed within a 3×6 to ensure that there are no two points whose distance apart is less than (√2)?

$What is the maximum number$ $of points to be distributed within$ $a 3 \times 6 to ensure that there are no two$ $points whose distance apart is less$ $than \sqrt{2} ?$

Question Number 113346 Answers: 1 Comments: 0

Question Number 113343 Answers: 1 Comments: 1

find the angle between x+3(√(3y))=2,(√(3x))−5y=2 help me sir please

$f i n d t h e a n g l e b e t w e e n x + 3 \sqrt{3 y} = 2, \sqrt{3 x} - 5 y = 2$ $h e l p m e s i r p l e a s e$

Question Number 113341 Answers: 3 Comments: 0

Question Number 113336 Answers: 0 Comments: 0

If 1, a^2 ,a^3 ,...,a^(n−1) are the roots nth of unity , prove that : (1+a)(1+a^2 )(1+a^3 )...(1+a^(n−1) ) = n−2⌊(n/2)⌋

$I f 1, a^{2}, a^{3}, . . ., a^{n - 1} a r e t h e r o o t s$ $n t h o f u n i t y,$ $p r o v e t h a t : (1 + a) (1 + a^{2}) (1 + a^{3}) . . . (1 + a^{n - 1})$ $= n - 2 ⌊ \frac{n}{2} ⌋$

Question Number 113333 Answers: 2 Comments: 0

Question Number 113330 Answers: 1 Comments: 0

Question Number 113323 Answers: 2 Comments: 0

Question Number 113309 Answers: 2 Comments: 4

Question Number 113375 Answers: 0 Comments: 1

(i) How does one find the equation of the perpendicular to a line? (ii) How does one calculate standard deviation. Explain in details.

$(i) How does one find the equation of the$ $perpendicular to a line ?$ $(ii) How does one calculate standard$ $deviation . Explain in details .$

Question Number 113374 Answers: 1 Comments: 5

Find the next term in this sequence: 26,63,124, __

$Find the next term in this$ $sequence : 26, 63, 124,__$

Question Number 113372 Answers: 1 Comments: 2

2^a +2^b +2^c +2^d =57, find a+b+c+d. a≠b≠c≠d and a,b,c,d are positive integers.

$2^{a} + 2^{b} + 2^{c} + 2^{d} = 57, find a + b + c + d .$ $a \neq b \neq c \neq d and a, b, c, d are positive$ $integers .$

Question Number 113278 Answers: 2 Comments: 0

solve ∫((√(x^2 +x+2−(√(4x^2 +4x+4))))/(x(√(x^4 +x^3 +x^2 ))))dx

$s o l v e$ $\int \frac{\sqrt{x^{2} + x + 2 - \sqrt{4 x^{2} + 4 x + 4}}}{x \sqrt{x^{4} + x^{3} + x^{2}}} d x$

Question Number 113275 Answers: 2 Comments: 0

∫ (dx/(3sin x+sin^3 x)) ?

$\int \frac{dx}{3 \sin x + \sin^{3} x} ?$

Question Number 113274 Answers: 4 Comments: 2

(1) lim_(x→0) ((tan x+4tan 2x−3tan 3x)/(x^2 tan x)) (2) lim_(x→0) (((√x)−(√(sin x)))/x^(3/2) ) (3) lim_(x→0) (((√x)+(√(sin x)))/x^(5/2) )

$(1) \lim_{x \to 0} \frac{\tan x + 4 \tan 2 x - 3 \tan 3 x}{x^{2} \tan x}$ $(2) \lim_{x \to 0} \frac{\sqrt{x} - \sqrt{\sin x}}{x^{\frac{3}{2}}}$ $(3) \lim_{x \to 0} \frac{\sqrt{x} + \sqrt{\sin x}}{x^{\frac{5}{2}}}$

Question Number 113272 Answers: 2 Comments: 0

Solve the following equations: a)(x^2 −a)^2 −6x^2 +4x+2a=0 b)x^4 −4x^3 −10x^3 +37x−14=0,if it known that the left−hand side of the equation can be decomposed into factors with integral coefficients.

$Solve the following equations :$ $a) {(x^{2} - a)}^{2} - {6 x}^{2} + 4 x + 2 a = 0$ $b) x^{4} - {4 x}^{3} - {10 x}^{3} + 37 x - 14 = 0, if it$ $known that the left - hand side of the$ $equation can be decomposed into$ $factors with integral coefficients .$

Question Number 113271 Answers: 0 Comments: 0

solve the initial boundary value problem of wave equation ((∂^2 u(x,t))/∂t^2 )=9((∂^2 u(x,t))/∂x^2 ),0<x<2,t>0 u(0,t)=1,u(2,t)=3,t>0 u(x,0)=2,0<x<2 (∂u/∂t)(x,0)=sin2x,0<x<2

$s o l v e t h e i n i t i a l b o u n d a r y v a l u e$ $p r o b l e m o f w a v e e q u a t i o n$ $\frac{\partial^{2} u (x, t)}{\partial t^{2}} = 9 \frac{\partial^{2} u (x, t)}{\partial x^{2}}, 0 < x < 2, t > 0$ $u (0, t) = 1, u (2, t) = 3, t > 0$ $u (x, 0) = 2, 0 < x < 2$ $\frac{\partial u}{\partial t} (x, 0) = \sin 2 x, 0 < x < 2$