Given the sets A and B below, prove or disprove each of the statements that follow. A = {n € Z | n = 4a - 3, a € Z} B = {n € Z | n = 12b + 7, b € Z} a) ASB

Q: 17. Evaluate V|r|3 A. rr В. 2rr C. 4rr D. 3rr

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Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: 1A-(구) -1 1 Then, ||A||1= 1 -2 Let A =

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Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: 1. Solve the following set of simultaneous equations using matrices. 7W – 3X = 4 – 8Y – 4Z W + Y = X…

A: Jjjjjkkkkllnn

Q: -1 0 12 0 1 0. -3 -1 12 1 -3 -3 Ans. -1, ;-5, ; 3, -1 -4 1 1 -4 -1 1 3. ..

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Q: Evaluate. In e -20e -4x dr.

A: ∫-20e-4x dx=-20e-4x-4+C   ∵∫eax dx=eaxa+C=5e-4x+C

Q: (avb)л (aVc) d → e (bA c) → (F → k) ^ c) .. -F

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Q: You and your brother both work the 4:00 P.M. to midnight shift. You have every fourth night off.…

A: Ans:  Given  -  you have every fourth night off,                your brother has every sixth night…

Q: 1. Which of the following statements is true? a. 9 + (-23) = (-23) + 9 b. (3 + 13) + 7 = 3 + (13 +…

A: Consider  a.   9+(-23)=(-23)+9 b.    (3+13)+7 = 3+(13+7)c.     -14(5+7)=(-14)(5)+(-14)(7)

Q: 1 −3 5 C= 2 2 -7 10 6 -19 -19 25 and = det (C) = 미

A: here 2 is multiply with all member of matrix  and determinat of matrix c = 2ndet(C) further…

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: 4. State parks are popular places to visit. The table below shows how many people visited a state…

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Q: . Since 10 is the "middle" value of {9,9,10,10,17}, the …………of H is 10.

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Q: A researcher wants to determine if the exam scores of the students are dependent on the length of…

A: Introduction: The response variable is the examination scores, y, and the explanatory variable is…

Q: Then using Euler's method, the approximation of the solution at t=0.2, that is, y(0.2)=0.9 Select…

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Q: -4 c4x Evaluate . So S dydx.

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Q: Let f ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}  g=…

A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

Q: Calculate the missing information. Round dollars to the nearest cent and percents to the nearest…

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Q: 5 33 Let A = The maximum set B of linearly independent eigenvectors of matrix Ais.. [3/3 - 1 E. B=…

A: The given matrix is: A=53333-1

Q: True or false? { x│x∈N} = {0, 1, 2, 3, 4, 5, …}

A: Given:- { x│x∈N} = {0, 1, 2, 3, 4, 5, …} To find:- Given set is true or false

Q: -5,-12, -19,-26, .. A а, 3-5n + 1 %D a n = -7n + 2 а, 3D-7п - 12 a 72 D a, = 7n – 12 %D

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Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: 7 1 Let A = and D = -7 -3 -3 -7 Find A-D. A - D = |||

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Q: True or False. If A = {0,1,2,3}, then A C A

A: Given, A={0,1,2,3}, then A⊆A

Q: Let A be a 3 x 6 matrix and suppose that the SLE Ax = b is inconsistent where b is: (-) 3 b: =…

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Q: (v')2 + 8y' = 4t is: Select one: O a. Second order nonlinear differential equation. O b. second…

A: The solution is given as

Q: 3 -1 -2 4 If A= Then ||A|l = Select one: а. 6 b. 5 c. 4 d. 3

A:

Q: Consider the frames o X Y Z and o XYZ shown in the 0000 1111 figure. Find the rotation matrix Rº. xo…

A: Given: Consider the frames οX00Y0Z0 and οX00Y0Z0. The objective is to find the rotation matrix R10.…

Q: If u = (-3.9, -0.8), (0.2, 2.8), and w = (1.8, -4.9), find the following. ū. (v + w) V.V 2 (u. *) =[…

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Q: a. Is 3 E {1, 2, 3}? b. Is 1 C{1}? c. Is {2} d. Is {3} {1, 2}? {1, {2}, {3}}? e. Is 1 € f. Is {2} g.…

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Q: 6, 1, –4, –9, ...

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Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

Q: .A .B .C II

A:

Q: If A = -60000 5-6000 -4 -7 20 0 -89 3 -8 0 -2 -2 5 6 -9 then det (A): =

A: We have to find the determinant of the matrix .

Q: -1 1 Let A= 1 -2 Then, |A|l2= ) Select one: a. 8+45 b. 10+45 C. 9+45 7+/45 2.

A: We can solve for the given matrix using the formula for second norm of a matrix

Q: 1 -2/ -1 1 Let A = Then, ||A||2 = Select one: а. 7+45 2 O . 8+V45 2 C. 10+V45 2 d. 9+V45

A:

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: - 12 dt = t2 +t – 2

A: We are using integration after decomposing it into partial fraction form

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: Find, if possible, (a) AB and (b) BA.

A: A is a 3x3 matrix and B is a 3x1 matrix So the product AB will be possible. Because the number of…