if 1 A = 4 -3 0 7 4 5 %3D 5 0 7 then A is symmetric

Q: y 5- 2 1 4 3. 2.

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Q: z-1 Sc dz, E C ez -3z

A: ez=1+z+z22!+z33!+---+znn! Cauchy integral test ∫Cfzdz=2πilimz→z0fz0 if zeros lies in C. ∫Cfzdz=0 if…

Q: Let W = {A E M3: a1 = a12 = 0 and an = an= az3}. %3D Then dim(W) = (A) 4 (B) 5 (C) 6 (D) 3 (E) 7

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Q: If two persons A and B are attending a test with %3D P(A)=0.45, P(B)=D0.36 then PAUB)= O a. 0.648 O…

A: Answer: Option a. 0.648 Explanation: If two persons A and B attending a test with PA=0.45 and…

Q: If h'(3) -1 and h'(1) = 5, then |h"(z)dr = %3D %3D (A) -6 (B) 4 (C) 5 (D) 6 (E) 9

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Q: s there a formula to calculate:  If A and B are dependent and P (A/B) = 0.35 then  P(B/A) = P (A…

A: A and B are dependent P(A/B)=0.35   we know that, P(A/B)=P(A and B)/ P(B) P(B/A)=P(A and B)/P(A)

Q: For which values of a, b, and m does x + a = b have a solution in Zm?

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Q: S V64 x da 3 x 2 +c 16 None 3 16 x 2 +c 3 16 x 3 +c 3 2/3

A:

Q: Question 12 Evaluate: J(7x3 + 4x²2)dx 7x4 4x2 +C 2 A 4 (B) None of the given choices 7x4. 4x3 + C 3…

A: The given integral,        ∫7x3+4x2dx

Q: 4. (4 – e 3*)³dx

A: Here we use the formula  ∫eaxdx=eaxa+C (a-b)3=a3-b3-3a2b+3ab2

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: If p (E1) = 0.3, p (E2) = 0.4 p(E1/E2)=0.5 so p(E1 cross E2)= 0.2 0.15 0.12 0.7 %3D %3D

A: Given, pE1=0.3pE2=0.4pE1E2=0.5

Q: Obtain the general solution   mydx = nxdy   Ans. xm =cyn

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Q: Suppose P(A) = 0.40, P(A B) = 0.25 and P(B) = 0.35. Then P(AUB) is %3D O a. 0.40 Оb. О.50

A: Given: PA=0.4, PB=0.35 and PA∩B=0.25. Then,PA∪B=PA+PB-PA∩B=0.4+0.35-0.25=0.5

Q: If A = 2 1 2. show that A² – 4A – 5) = 0, %3D %3D 12 2 1.

A: To show that  A^2-4A-5I=0

Q: If h'(3) = 5 and h'(1) =-1, then h"(x)dz %3D (A) -6 (B) 4 (C) 5 (D) 6

A:

Q: If x, = 1, x1 = 2 ,x2 = 3 ,x3 = 4 ,x4 = 5, then L2(3) + L2(4) = %3D %3D %3D %3D Select one: а. 1 b.…

A:

Q: Given P(A) = 0.25 P(B)%3D P(A or B) = 0.5 %3D P(A and B) = 0.15 Is this an overlapping

A: Given, P(A)=0.25 P(A or B)=0.5 P(A and B)=0.15 P(B)=?

Q: 5. If (2x- kx' +2k) dx = 12, then k must be %3D (А) -3 -3 (B) (C) 2 (D) 3

A: Solution :  ∫02(2x3-kx2+2k)dx=122x44-kx33+2kx02=122 244-k233+2k(2)-0=122164-k83+4k=12…

Q: wer below. A. Ho Hg+0 HA Ha =0 O B. Ho Ha s0 OC. Ho H =0 HA Ha #0 OD. Ho: Ha 20

A: The test is a one-tailed test. Dependent t-test

Q: 1 1 4, then the particular solution is (). b.

A:

Q: If var(X + Y) = 3, var(X – Y) = 1 , E(X) = 1 and E(Y) = 2, then E (XY) is

A: From var(X+Y)=3 we get:var(X)+2Cov(X, y)+var(Y)=3 ........(1) From var(X-Y)=1we get:var(X)-2Cov(X,…

Q: If P(A) = 0.40, P(B) = 0.35, %3D and if A and B are independent, then P(AUB) equals a. 0.28 O b.…

A: Given data: Events A and B Are independent To find: P(A U B ) = ?

Q: 13. If A = then C(A) = N(A) if: %3D A. a1 = 0 B. a1 = 2 C. a1 = 1 D. a, = -1 ar no

A:

Q: If y = Ce + Cze and y(0) =e and y(0) = 0 then C

A: We will substitute the value of x to get relation between value of y and c1 and c2

Q: Find x, y, z, and w. х 1 (2х - 1) (2x - 2) 3 %3D у 9 9y 4 (w + 1) (8y + 4)

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Q: if fx) = x + y, 0<x<1,1<y< 2, then E(x) + E(y) = true flase

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Q: If C is the constant of integation, and g(0) =1 the C=___ and g(-2) = ____

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Q: If h(x = e* + 5 -, then h'(x) equals (a) *e'- 2r(e"+5) O (b) x-²e* – 2x^³(e* + 5) (c)- 2x ²e* +…

A: The given function is hx=ex+5x2.

Q: If A is m x n and B is n x m and AB I then the rank of A is

A:

Q: Find Re(z) if z(2 + i) = z+(16 + 20i)

A: Given that, z2+i=z¯+16+20i. We need to find Rez.

Q: If P(A) = 0.5, P(B)= 0.4 and P(An B) = 0.2. Find P(B|A) %3D O a. 0.4 O b. 0.5 O c. 0.6 2 O d. 0.3

A: We have given that P(A)=0.5 ,P(B)=0.4 and P(A and B)=0.2 P(B/A)=P(A and B)/P(A)

Q: If Var[X+Y]=3, Var[X-Y]=1, E[X]=1 and E[Y]=2, then what is E[XY]?

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

A:

Q: Find the value of w and Х. 18 a) w= 1 x= 2 b) w 2, x 17 %3D c) w 3, x 15 %3D %3D d) w 2, x = 18 e) w…

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Q: -1 -2] 3 4 If A = and B S.T AB BA. %3D -3 -4 5 2

A:

Q: Consider the following scenario: Let P(C) = 0.4 Let P(D) = 0.5 If C and D are independent, find…

A: (1) It is clear that events C and D are independent. The value of PC∩D is, PC∩D=PCPD=0.4×0.5=0.2…

Q: Find Re(z) if z (2+i) = z + (16+20i)

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Q: If у %3D x(x2 — 5)2, A. 60(x2 + 1) then y у " is В. 60 (х2 — 1) С. — 60(х2 — 1) D. – 60(x2 + 1)

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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: If A = -5 1 then none O A is Skew- Symmetric and non singular

A: Skew-symmetric matrix: A Skew-symmetric matrix is a square matrix whose transpose is its negative.…

Q: components of K1 UG is

A:

Q: (E,E2 – k)z(k, l) = 0, - (E1 – kE,')z(k, l) = 0. -

A: The given operator form is: E1E2-kzk,l=0             (1)

Q: a) W(2) = %3D b) W (10) = %3D c) If w(t) = 12, then what is t? and

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Q: Is the following a linear combination of 0 4 A = B = 3 %3D %3D -3 -3 3. 1 2 11 12

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Q: If x, = 1 , x1 = 2 ,x2 = 3 ,X3 = 4 ,x4 = 5, then L2(3) + L2(4) = %3D %3D %3D %3D Select one: а. 1 b.…

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Q: I need solution for d) and e

A: Given:

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 15 6 15 1 15 3 2 15 3 15

A: Here we have to find the variance V(Y) from the given joint distribution table

Q: Given A E R3X3, 1 = |1|,02= 1 , V3 = 0, w2 = -2 1 2 -4 Av1 = 01, Av2 = w2, Au3 = 03. %3D %3D %3D

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.