HE 1 2 -1 3 5 -1 2 B = 1 -2 and C For Test I, let A Find: 2 3 1 -3 4 1 1 2

Q: Which of the following is NOT a legitimate way to write y" if x2 +3v² = 4? %3| У-ху 3y? 4 | 9y3 4…

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Q: :) -( 1 -2 -1 -2 -3 -1 2 1. If A = and C = -1 -3 either find 2 -3 -1 4 0 3 0 -1 the following or…

A: To add or subtract two matrices both, matrics must have the same size or dimension. Since matrix A…

Q: Q3- Find the numerical value of §. xdz, if c = c, + c2 + C3.defined in the given figure. (2,2) C2…

A: We will find out the required numerical value.

Q: GIVEN: 1 0 3 1 A = 4 2 4 1 1 3 1 0 2 -2 FIND: A?

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Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: Ex I メ~N (25,9) ;then : plx>32)=?! O pC x- 12) のp(x< -2)

A: Given that X~N(25,9)   32 is (32-25)=7 units away from the mean=25. So the area above 7 units to the…

Q: Find (a) P(X ≤ 2, Y = 1); (b) P(X > 2, Y ≤ 1)

A: a) X ≤ 2 means X=0,1,2  Using that we get: P(X ≤ 2, Y = 1)=P(X=0,Y=1)+P(X=1, Y=1)+P(X=2,…

Q: Find AT and A-1 and (A-1)T and (AT)-1 for [1 0 A : 9 3 1 and also A c 0

A: A=1093 and A=1CC0We need to find AT ,A-1 ,(A-1)T,( AT)-1For any matrix A=abcdA-1=Adjoint of A…

Q: 5n i\n +1 Σ– n=1

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Q: 5. If UW = 6x- 35, find UW. 6. If HJ = 7x – 27, find the value of x. 19 4x - 20 3х-5 X-1 V. W H.

A: Sol (1)VW=6x-35U      19             4x-20                            V                     Wso,…

Q: For what values of c is ||c(1, 2, 3)|| = 1?

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Q: Find the values of a, b, and c so that det(4) = ax2 + bx+ c. 2 A = -2 -1 -2 -7 3

A: A=x20-2x-1-2-73   and detA=ax2+bx+c

Q: If X ∼ N(2, 9), compute a) P(X ≥ 2) b) P(1 ≤ X &lt; 7) c) P(−2.5 ≤ X ≤ −1) d) P(−3 ≤ X − 2 &lt; 3).

A: a) From the provided information, Mean (µ) = 2 Variance (σ2) = 9 Standard deviation (σ) = 3 The…

Q: Given that A = 40 + 3ŷ + 2, B = –2â + 42, and C = ŷ+ 42, find: (Ã × B) x Č O a. -50âx-48ây+40âz O…

A: Given vectors are: A→=4x^+3y^+z^  , B→=-2x^+4z^  , and C→=y^+4z^

Q: Q3- Find the numerical value of 6. xdz,if c = c, + c2 + C3.defined in the given figure. (2,2) (1,1)…

A: Given is∮c x dzalong C1equation of linex-12-1=y-11-1=tx=t+1   y=1dxdt=1   dydt=0∫c1f(x,y) ds=∫01…

Q: If z = (1+ iv3)' 100 then find the value of Re(z)/Im(z). a. V3 b. 1/V3 с. 2//3 d. -V3

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Q: Q3- Find the numerical value of xdz, ifc = c, + C2 + C3.defined in the given figure. (2,2) C2 (1,1)…

A: Integrate in parametric form.

Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

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Q: Let X = b(n, and E(3x) = E(3-5x) find n.

A: If X~ B(n,1/2) We know that, Mean, E(X) of binomial distribution is given by np So  E(X)= np = n/2

Q: Determine whether the following is true: (a) (b) n+1 Σ₁2²= n · 2n+² + 2, i=1 n i-0 3¹ 1- 3n+1 13…

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Q: 1 а Given: A = B = 2 b a If: |A| = 4 and B = 1; find: a + b?.

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Q: Find the rank(A) and null(A). 1 -3 -1 9 . -6 -1 4 -2 -10 -3 9. -6 -6 -3 3 -9 4 9 a) 1; 4 b) 2; 3 c)…

A: Rank(A) and Nullity (A)

Q: Find all numbers z such that Az + Bz² + Cz = D [2 4 21 li 3 B=[i 1 1. A = -2 -1 [2 4 2] C = 1 3 1 -1…

A: Find all numbers z such that Az3 + Bz2 + Cz =D Given matrices,                              A=242131…

Q: a.n=5, x=1, p= 0.3 d. n=5, x=2, p=0.4 b. n= 6, x= 3, q = 0.2 e.n=6, x= 3, q=0.8 c.n=4, x= 0, p= 0.7…

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Q: Q4: Answer two only: 4 2 2 -2 Find AB and AC. A): If A = 01 0; 1 -1 1. 2 B = 2 -1 3 -2 2 4-1711 -2…

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Q: Find the values of z for (k=1 and k=4), if z=(-1)9 1-i/3 and -1 2. 1+i/3 and -1 1+i/3 and -i 2…

A: De Moivre's Theorem for fractional power:                                           (cos(θ)+i…

Q: Find the value of n that will make each of these equations true. 1. n-7=30 2. n-6=8 3. 5n = 25 %3D n…

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Q: if y = (1/3)x, which of the following indicates all possible values of y?   a. y>0   b. y≥1…

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Q: If A= xe Z:2" = 1 and B = {x e Z:-4 < 3x-1<11}, then find n(A×B),where Z is a set of integers.

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Q: which of the following is incorrect? 3/4 ¢ Z А. b C {a, b,c} В. -3 € Q С. {0, 1} C Z D.

A: Given-  To find- Which of the above option is incorrect?

Q: r = 1, ..., n – 1 + r r

A: From the given that,

Q: You are told that Vf(2,3) =. %3D Given ü =, compute Düf(2,3).

A:

Q: suppose that X~N (2, oʻ), AP (2<X<4) =0.3, then P(X<0)= A.0.3 B.0.2 C.0.8 D.0.1

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Q: Given that A = 4ê + 3ŷ + 2, B = –2â + 42, and C = ŷ + 42, find: (Ã × B) × Č O a. -50âx-48ây+40âz Ob.…

A: Given A→=4x^+3y^+z^, B→=-2x^+4z^ and C→=y^+4z^ =i(a2b3-a3b2)+j(a3b1-a1b3)+k(a1b2-a2b1)

Q: If q(2) V12 + w'dw then q'(2) - [1

A: We have to find derivative

Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: GIVEN: Z₁ =2+3j, Z₂ = 1260, z3 = 2e¹5, Z₁ =3-√√-4 Z₁ + Z3 EVALUATE: Z₂-24

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Q: Find the value of X and Y in given that; -5 1 6 R = - 1 S = 3R + S = 4 y -1 8 3. 2. 2.

A: We want to find the value of x and y.

Q: Let A, B, and C be as shown below. 2x A =|-4 1 B-5, 4] [3y 2] c = [g 11 ol C = 4 a. Find 2B – CT b.…

A: Given: A=y2x-4154     B=x43y2  C=01-10d. BAf.CB

Q: If z a (y+ 2) and y a (x-1), which of the following must be true? 10. А. A. (z– 2) a y В. (у- 1) « х…

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Q: Let X = P(2) and E(3x)= E(2-6x) find 2.

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Q: 2. Find all numbers z such that Az3 + Bz² + Cz = D -3 -5 a. A [4] B =[₁₁1] c = L-₁₁ ย -11] A = 11 3…

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Q: (a) P(z < zo) = 0.834 Zo (b) P(-zo < z < zo) = 0.25 Zo = (c) P(-zo < z < z0) = 0.2936 Zo =

A: To find the standard normal variable: Z-score is a measure which tells how many standard deviations…

Q: Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

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Q: 3. Let M(x) = 3r² – 5x + 2, find the following: а) М(4) b) м(-7) c) M(c+h) – M(c)

A: The given function is  M(x)=3x2-5x+2

Q: A. ($4.31, $7.93) with xt B. ($4.27, $7.78) with xỉ = 19.286 and x = 64.181 C. ($1.82, $3.34) with…

A: Confidence interval for Standard deviation is given by:

Q: [2 Q2) Assume A = |1 3 11 show that (AB)' = B' A' 6. 4 and B = 13 4. 213

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Q: If S = 2+5+8+ 11+ 14 + 17+.. + 302, then 100 S-Σα+2 (cr + r=0 where c =

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