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AlgebraQuestion and Answers: Page 90

Question Number 179031    Answers: 0   Comments: 1

prove that sgn(0)=0

provethatsgn(0)=0

Question Number 179025    Answers: 0   Comments: 3

2^(10x) −x^5 −4=0

210xx54=0

Question Number 179023    Answers: 0   Comments: 0

Draw an electrical network (a) p∧(q∨r) (b)(∼p∧∼q)∨(∼p∧q)∨(p∧∼q) (c) p↔q

Drawanelectricalnetwork(a)p(qr)(b)(pq)(pq)(pq)(c)pq

Question Number 179018    Answers: 3   Comments: 0

Question Number 178996    Answers: 2   Comments: 0

Question Number 179001    Answers: 0   Comments: 1

In △ABC ∠BAC = 90° and AB = ((BC)/2). ∠ACB = ?

InABCBAC=90°andAB=BC2.ACB=?

Question Number 178957    Answers: 1   Comments: 0

Find the recurring factors of the polynomial: 1. f(x)=x^5 −6x^4 +16x^3 −24x^2 +20x−8 2. f(x)=x^4 −x^3 −30x^2 −7x−56

Findtherecurringfactorsofthepolynomial:1.f(x)=x56x4+16x324x2+20x82.f(x)=x4x330x27x56

Question Number 178923    Answers: 2   Comments: 3

Question Number 178915    Answers: 0   Comments: 0

Question Number 178912    Answers: 1   Comments: 0

1×2+2×3+3×4+...+99×100=?

1×2+2×3+3×4+...+99×100=?

Question Number 178867    Answers: 2   Comments: 0

Question Number 178818    Answers: 1   Comments: 0

If a,b,c,d∈[1,2] then prove that: (a + b + c + d + e)((1/a) + (1/b) + (1/c) + (1/d) + (1/e)) ≤ 28 When equality holds?

Ifa,b,c,d[1,2]thenprovethat:(a+b+c+d+e)(1a+1b+1c+1d+1e)28Whenequalityholds?

Question Number 178810    Answers: 1   Comments: 1

Question Number 178794    Answers: 0   Comments: 0

i i

ii

Question Number 178793    Answers: 2   Comments: 0

find Σ_(n=0) ^∞ (1/((3n)!)) = 1+(1/(3!))+(1/(6!))+(1/(9!))+...

findn=01(3n)!=1+13!+16!+19!+...

Question Number 178777    Answers: 1   Comments: 6

A=(1/(2018))+(1/(2019))+...+(1/(2050)) find the integer part of (1/A).

A=12018+12019+...+12050findtheintegerpartof1A.

Question Number 178747    Answers: 1   Comments: 0

{ ((3x=2 (mod 5))),((3x=4 (mod 7) )),((3x=6 (mod 11))) :} x=?

{3x=2(mod5)3x=4(mod7)3x=6(mod11)x=?

Question Number 178715    Answers: 0   Comments: 0

The solution of 2≤ax^2 +bx+c≤3 is [2, 3] 1) if a>0, ax^2 +(b−3)x−c≤0 has and only has 10 integer solutions. find the range of a. 2) find x: ax^2 +(b−1)x+5<0

Thesolutionof2ax2+bx+c3is[2,3]1)ifa>0,ax2+(b3)xc0hasandonlyhas10integersolutions.findtherangeofa.2)findx:ax2+(b1)x+5<0

Question Number 178697    Answers: 1   Comments: 3

Question Number 178686    Answers: 2   Comments: 0

Given 2x^2 y^2 +12y^2 =7x^2 +647 for x,y ε Z . Find the remaider if 3x^2 y^4 divide by 11 .

Given2x2y2+12y2=7x2+647forx,yεZ.Findtheremaiderif3x2y4divideby11.

Question Number 178640    Answers: 0   Comments: 0

∀−1≤a≤1, ∃0≤b≤2, x^2 −2ax+a≥∣b−1∣+∣b−2∣ find the range of x. (x∈R)

1a1,0b2,x22ax+a⩾∣b1+b2findtherangeofx.(xR)

Question Number 178612    Answers: 2   Comments: 0

Be calm then solve ∣((x^2 +7x−8)/(x+3))∣≥ 2

Becalmthensolvex2+7x8x+3∣⩾2

Question Number 178600    Answers: 2   Comments: 0

Solve 1st: ∣x−9∣≤ −1 , 2nd: ∣10x+1∣> −4

Solve1st:x9∣⩽1,2nd:10x+1∣>4

Question Number 179996    Answers: 0   Comments: 0

Question Number 178596    Answers: 1   Comments: 4

Let (√a)+ (√b)= (√(2023)) , Find values of a, b ∈ N

Leta+b=2023,Findvaluesofa,bN

Question Number 178595    Answers: 1   Comments: 0

Solve ((2x)/(x+1))≥ 3

Solve2xx+13

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