Consider the initial value problem i = Ar with a(0) = 2o € R where 1. = T0 %3D -1 0 0 A = 0 10 0 1 1 and to X2 X3, (a) Find three linearly independent solutions of the ODE system i = Ar. (b) For what values of X1, X2 and X3 is the solution to the initial value problem bounded on R,? = xo which are bounded in (c) Find the set of all solutions to i = Ar with a(0) R+.

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

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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: c) Given A {1,2,3,4,5,6,7,8,9,10}, show that if you pick 5 number from A, the sum of two of them is…

A: Permutation -every  possible ways in which a set or number of things can be  arranged.

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: |-2 5 3 3- Find A-1 ifA = |-4 3 6 1 ol

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

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

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Q: If A ={a,b,c} and B= {1,2}, find the Cartesian product, B X A Find the power set, P(A) Find the…

A: We will find out the required value.

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: 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…

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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: -3 1 If A= and All,=7 then a = Select one: a. 6 b. 5 or -5 C. 6 or -6 d. 5 Previ OOOO

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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: SOLVE STEP BY STEP IN DIGITAL FORMAT 5 health inspectors test two batches of vaccines of 30 doses…

A: We have 5 health inspectors. First batch has 30 doses and second batch has 30 doses. Each inspector…

Q: 172...186...196...201...211...222...228...231...235...238...243...245...249...250...254...257...267.…

A: N=30172...186...196...201...211...222...228...231...235...238...243...245...249...250...254...257...…

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

A: (a) Consider the given matrices A and B. As the number of the rows is equal to the number of columns…

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: Classify each of the variables as categorical (A) or numerical. If the variable is numerical,…

A: Disclaimer : “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Let A = {−1, 3, 2} and B = {1, 2, 6}. Find A N B. ○ {2} O{-1, O{-1, 2, 3, 6} O{-1, 3} 1, 2, 3, 6}

A: Option AExplanation:Given:A = {-1, 3, 2}B = {1, 2, 6} Solution:A ∩ B denotes the common values…

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: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

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: Which is greater, E or P, and by how much? E = 1 + 3 + 5 + 7 + . . . +91 P = 2 + 4 + 6 + 8 + . . .…

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Q: Solv...: w.

A: Given: w0=w041/4

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: 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: If A = Thus, A-1 [28] then det (A) is Choose and det(A-¹) =

A: A=28-50

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

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Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

A: