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Q: • G= *-3 ) • G = , det (G) = 10 %3D 4] Then x=12 O A) TRUE O B) FALSE

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A: Given : Probability,p = 0.5 number of trial,n = 7 Let x be the random variable that…

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Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

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Q: The number of units in Z31[x] is None 30 22 O 28

A: using Euler's phi function to solve the given problem...

Q: 100 7. If = a + bi, compute for a and b.

A: We need to find the value of a and b, if 1-i1+i100=a+bi Now, evaluating the power of 100 is…

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Q: Determine the following value: F20 + F30 1. 2. F34 3. F67

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Q: Let A= 1 1 Then, ||A||2= -2 Select one: а. 8+45 2 b. 7+/45 C. 10 +45 2 d. 9+45 2.

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Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n…

Q: Reject Ho if |z| > N

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Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

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Q: Given d, = and dy = Then d, and d, are not - conjugateif Non of these O D

A: Given d0 = -11  and  d1 = 56

Q: Let n eN 1. Show that o (n²) = ng(n) 2. Show that o (n) +

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Q: Show that a,b,c are in A.P. If x is the G M be tween a and b and y is the G M between b and c,  then…

A: We have to show if  a, b, c are in A.P.,  x is the G M be tween a and b and y is the G M between b…

Q: 2 3 2 3 2 3 Let G= S3 and H={(; 3 2 Then the number of disjoint cosets in G/H is H. 6 O 3 2 O

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Q: S[e²t. √4+e²] dt

A: Evaluation of the indefinite integral, by using substitution method

Q: If A = [1 1] then the dimension of N(A) is O a. 1 O b. 3 OcO O d. 2

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Q: If X = {1,2.3}, A and B are IFSs where A= (x,{1},{2}) and B = (x,0,{2,3)) then An B

A: Intersection of Two Sets The intersection of two sets is the set of elements that are common to…

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

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Q: Actiurly 2.3.klation and Fnction let de 7 3, 4kand B -fle.9,10 and define elation R from X to be as…

A: Introduction: A relation between two sets is nothing but the subset of Cartesian product f the two…

Q: The LCD of and is 12x. 2x 6x O True O False

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Q: A. Evaluate the follow 1. S dy 3+√y+3

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Q: 6.3.6 For each real number x, let Ay = {3, –2} U {y E R : y > x}. Find U Ax and N Ax. xER xER

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Q: -1 1 Let A= 1 Then, ||A||2 = -2 Select one: a. 9+V45 2 b. 8+V45 c. 10+V45 2 d. 7+V45

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Q: Let a = i +43 + 2k. Find ||a||. −

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Q: Choose the number that best approximates each of the following 6 8 10 21 (a) + + + 25 33 41 (i) 3…

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Q: Let A = {x e Z: 10|x} and let B={xeZ:15|x}. %3D Then * O Bc A O A=B O None of these O ACB

A: Suppose A and B are two sets . Note the following result : If x∈B for all x∈A then A⊆B . If A⊆B and…

Q: Let det(A) = 5 and det(A + B) = 20. We conclude that det(/+A¬}B) = 15 O True False

A: Given det(A) = 5  det(A+B) = 20  Now by multiplying det(A-1) on both sides  (det(A-1)) (det(A+B)) =…

Q: a. Which of the following represents all values of x whose distance from 5 is less than 6? Select…

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Q: 4 Let w = x. In(xy²z³), then which of the following is O a. 0 O b. O d. O e

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Q: If then |A|=1 O JA|=-1 O |Al=0 O

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Q: Evaluate 4²+² r2y dxdy S² √²4 Ο π/12 Ο π/6 Ο π/16

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Q: :). -3 0 Let A: 4 Find || A||2 О а. 9 Оъ. 16 О с. 4 O d. 3

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Q: 2 5 2 If A= 4 6. 4 then |A| is -1 2 -1. |A|=0 |A|=1 |A|=-1 O

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Q: Let :[6.-5] and = [-1,5). Find the vecror %3D 7 =62-55 and its additive in verse

A: Given that: x→=[6,-5] and y→=[-1,-5]