Confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 1 1 A = C+0 -3 5-3 and x = -8 1 1 -4

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A: Given- There is considerable evidence to support the theory that for some species there is minimum…

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Q: Find the volume V of the solid E enclosed by z=9-y², z = 36-x, x = 0, and z = 0. (Give an exact…

A: We have to find the volume of the solid E enclosed by z=9- y2, z= 36 - x , x=0, and z=0

Q: 1. The Laplace transform of the function y(t) = t5 is a. 20/s5 b. 1/(s-5)6 c. 120/s6 2. The Laplace…

A: Note: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: 5. Let A E M, (R) be given. (a) If det(A) = 1, prove that adj (adj(A)) = A. (b) If A is nonsingular,…

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Q: (a) Find the solution set of the homogeneous linear system below. x + y + 2z = 0 -y-3z + w=0 3x + y…

A: as per the guidelines, I am answering first question only. Kindly repost and  ask to answer other…

Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 .

Q: 3. Use Laplace transforms to solve y+3y=1351 24 y(0) = 6

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Q: find ди ds and dw dt

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e,…

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Q: (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x) (a+1)

A: We have to solve the given differential equation   (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x)…

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Q: Y(s) 3 8. For the first order transfer function [ = [], K₂= X(s) S+ T= b. 15 c. 5 d. 3 a. 6

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Q: Use Simpson's 1/3rd rule to find -0.6 dx by taking seven ordinates. (nr

A: Here, we need to use simpson's 1/3rd rule and need to take seven ordinates. so h=0.1

Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 . If in a communicative ring  (R, +, x), two non zero…

Q: 11 Which among the sets is open? O [0,1) {0,...,1/n,...,1/3,1/2,1} None of the above. 12 Consider…

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Q: Why is it 27216 rather than 3024? and 109 instead of 9,000,000,000?

A: Multiplication is done directly that's why you get confused , I am including step by step

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A: Total n umber of Jelly beans = 520 Number of jelly beans released when a coin is inserted = 9…

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Q: ent purposes, you choose to have a jelly y beans in the machine. When a custom

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Q: Q1: (A) Write True (T) in front of the true statement and false (F) in front the false statement: 1.…

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Q: Which among the sets is open? O [0,1) O (01/1/3,1/2,1} R\[a,b] None of the above.

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Q: Consider the curve where a is the last digit of your exam number. (a) Compute=7 (t) at t € [0, +∞).…

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Q: 10 f(x) dx is exactly 5 1 A 5 f(5x+5) dx 5ff(² -1 1 B f(2.5x+7.5)dx -1 1 Ⓒ5 (2.5x (C) (2.5x+7.5)f(x)…

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Q: UA_n is open where A_n=(n-1,n).

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Q: Suppose C is a class of subsets of $2 and suppose BC 2 satisfies B € σ (C). Show that there exists a…

A: Solution: Let 'G' be the union of all σ-algebras generated by countable subsets of CB.

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Q: 5 UA_n is open where A_n=(n-1,n). ΟΝ OS O A 6

A: Q5. Since the arbitrary union of open sets is open,the given statement is Always true