Find A and B if -1 L-1 5 s + 1 s² – s –12 `12 إجابتك

Q: A population consists of 4 units with values 156, 149, 164 and 155 respectively. Draw all possible…

A: Given that Population size N = 4 Sample size n = 2 Then possible samples WOR are NCn = 4C2 = 6

Q: 2) Find the expression for F(z) while solving the recurrence relation 2yk+2 - 3yk+1 +7yk = kak by…

A: Given: Let us consider this as equation (i) 2yk+2 -3yk+1+7yk = kak

Q: 37.) Show all step to evaluate: SN NS /3-y² /3-y² dzdxdy

A: We have to find the value

Q: Q2] Find the lower bound of Iz - 3|if |z - il < 1

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Q: [4] How many ways can 20 identical balls be distributed into 3 distinct containers with each…

A: Combination: It is similar to permutation, the number of ways the arrangement of the object can be…

Q: From (2) we get: 7h 1 (7g+7)n+1 - 2-(7g+6) (2 - N-(79+6) II ig+1)k-(a+1)t-q +1 h=0 k=1 7h 1…

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Q: If x, y, z are integer's numbers then: 1) Show that if x \y then x\ yz 2) By use part 1 show that if…

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Q: () = 2 sec(a O conon1 O pton 2

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Q: {2, 3} CA implies that 2 E A and 3 e A. Select one: O True False

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Q: 17. Find a, b, c in Q such that (1+ V4)\(2 – V2) = a + bV2 +cV4 Note that such a, b, c exist, since…

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Q: Show that the series 3. + + 4 To t (-1) Lonverges absolutely.

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Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: Prove that S4 = ((1 2 3 4) , (1 2 4 3) ). %3D

A: As you asked for question number 8 , and hence here it is.

Q: 6. Find a²z дгу of z = In(xy)

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Q: 6-8(/2) Ce?: x3+2°<9, x<0?\ ): ト 4,X,c03 and 年(カx2)= (4),6) = (-2x2 , 3w×2) ncludng Sfidx + dr2 = ST…

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Q: If (n + 1)(n + 2)an+1x" - nan-1x" = 0, n=1 show that for k = 1, 2, 3, ..., we have 1.3.5... (2k - 1)…

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Q: Oue. 4a) find second degree polyDOMAX. passes through the foimts (0,1), (13), (2,7) and (3,13),

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Q: 우(4,3) - +xy Elewhere a fivd 우 (s) 6) find p( ys%2 /x= 0:3)

A: A joint probability distribution gives the probability for two variables together which is…

Q: 6. The first four central moments are 0.4, 8 and 144. Find 'B' and 'y' coefficients?

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Q: Which term of the expansion of (z + 4) contains z Term number contains z4.

A: Given expression is: (x4+4)16

Q: Find L {(2t" – 3)° } . | O 4(2n)! 2n+1 12(n!) + sn+1 4(2n)! g2n+1 [ 2(n!) 8n+1 O 4(n²)! 12n! 9.…

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Q: X1,, Xn ~ N(-3,2) (random variables) ... Z, = 1(X,X2 + X1X3 + X1X4 + •..+ X1X„), n > 3 %3D (a) Find…

A: From the given information, X1, .....,Xn~N-3,2 And Zn=1nX1X2+X1X3+...+X1Xn, n≥3 Consider,…

Q: Determine the period of the recurrence relation Zi+4 = 2i + zi+3 mod 2 i > 0 for the various…

A: Given, zi+4=zi+zi+3 mod2 Since, there are four  vectors which can take value that is 0,1 Hence, the…

Q: Find the the fellowing ODE 's general Solution of ODE'S x³ - X %3D

A: Given ode xy'+4y=x3-xy'+4yx=x2-1

Q: Then, we assume that Wn+1 - H Wn - l kn+1 kin 1 2 E Wn-p Wn-p p=0 p=1 (6) n+1 - € Zn - € Vn+1 = 1 Vn…

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Q: BIWC DAS 7.37. U₁, U₂ are independently and uniformly generated between 0 and 1 by a machine. Let X…

A: Given that:

Q: in(Zg++s)indeyclic grauf2enerated by I, Z,3

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Q: How to proof: R2=(Cov(X,Y)/SxSy)2

A: R2 is defined as the co-efficient of determination, which determines whether the fit of our…

Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: Evaluate dz (z–2)5/3 O -4/3 O 4/3 O Divergent

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Q: Find an explicit formula for s, if so = 1 and %3D Sn =2+2s0 + 2s1 +... +2s, 2+ Sn-1, Vn >1.

A: Generating Functions for a sequence a0, a1,a2,………an,……………… is an infinite series of the form ,…

Q: Within the interval (0,1)we randomly choose two numbers: x and y . Determine the probability that…

A: The problem can be solved using the concept of basic probability.

Q: snip

A: We know that a set of vectors is orthonormal if it is an orthogonal set having the property that…

Q: 15. Find the general solution of dr bcosedr + rsinode

A: General solution of differential equation

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively ,Prove that S3=3(S2-S1)

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Q: an 34an-1 – 289an-2 for n > 3 with initial conditions aj = 68, az = -1734. an

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Q: Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4…

A: Given Information: No. of red balls = 3 No. of blue balls = 4 No. of white balls = 5 X : number of…

Q: prove for n=l,2,3. e that +2+3+..+h = ncn+l) 2. %3D %3D

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Q: If x, y, z are integer's numbers then: 1) Show that if x \y then x \yz 2) By use part 1 show that if…

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Q: Find Š Clim sup and s Clim inf) nt (-1) (znt) of Sn=

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Q: If z2=z then z=0,1 o V3 +i 2 2 3 2 2 1 z=0, 1, - -/-

A: step:-1 Given that z2=z Here, z denotes conjugate of z. Note:- If z=c+i d  then    z =c-i d Let…

Q: 3) Ll a, = 5, Qz = 13, end Anta 5 anti - 6 an (n71). Prove by inbuetem that an =2* +3" (n. %3D =

A: The solution is given as

Q: Elliptic curve . Calculate 2p y^2=x^3+4x+174 (mod257) p=(29,22)

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Q: 6) Prove mathematically that (1 grad = 0.9 deg)

A: We know, that 1grad= 0.9 deg.  we can solve any other similar problem by multiply the number of…

Q: 7) Show that if a, > 0, and Lim na, +0, then the series aj + az + az + a4 + diverges.,

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Q: a) Expand Ca-b)Catb) b) Hence, expand ox-y+2)(ctytz)

A: a) Expanding (a - b )(a + b)  (a - b)(a + b) =  a(a+b) - b( a+b)                        =  a.a + a.b…

Q: Solve for z: Inz + In(z – 6) = In(2z), %3D

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Q: Rouché's theorem for p(z)=z^6−5z^4+z^3-2z ;|z|=1

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Q: 7) Show that K± = det [ T 4 J.

A: Sol