1. (a) Solve the differential equation given: y" – 12y" + 48y – 64y = 12 - 32e-4t + 2e+* (1) where y(o) = y(0) = y(0) = 0 (b) Replace the differential equation given in (1) with a system of 1st order differential equations and find the solution using state space representation

Q: 1 4 1 -1 1 SIf A = 4 1 2 and B = -2 1 then -4 2 3 -4 4 A + B =

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A: A detailed solution is given below.

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A: We have been given the equation (a + 1)2 + (b − 23)4 = 0

Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

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A: In this question we have to find n(A U B)

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Q: Find the value of (1+ i)" + (1 – i)", V n E N

A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: We will find the solution of given recurrence equation by rearranging terms on the non homogeneous…

Q: 2.) Solve the equation 16a – 12 – a = -57

A: Solution:

Q: 2. Using the identity -4 %3D 5 compute -6 -5 Hint: = I2 2

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A: To simplify 1+in+1-in , first convert both the terms of 1+in+1-in that is 1+in and 1-in into…

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Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

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Q: In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks…

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Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

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Q: I only need answers to (a) (b) (c)

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Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: Question 7 )Solve the following equations: a. 2*+3 = = 52x-3 b. In(x- 4) + In(x + 2) = In(7)

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Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

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Q: C. Show that (1+i)*5 = 2*" (1 – i)

A: Polar form of complex numbers will be used in solving this problem. The typesetted solution in LaTeX…

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A:

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

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Q: AB6

A: Given, To Solve, ∫ x4-x2dx

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A: We need to find the area A(4)

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A: Given A⊂B  P(A)=1/4, P(B)=1/3

Q: Calculate the following. - 2+4 i (C) (-2+5 i) - 1- 5 i - 3+3 i 4+2 i 5+3 i (a) 2+ 4 i (b) - 5i - 3+3…

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Q: Find the value of S in (3A +4Si)(6-7i) = 3+5i

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.