2. Find the determinant of the following matrix: 2 47 3 1 5 - -2 5 8

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A: Thus, all the zeros of P(z) whose modulus is greater than 1 lie in |z|≤(1+∑n−1k=0|ak|2)1/2.Those…

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A: Plugging in the values, we get: cos(angle) = sin(0)sin(30) + cos(0)cos(30)cos(110-50) cos(angle) =…

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A:

Q: 1. (RoC & IoC) Find the series' radius and interval of convergence: xn i. √n²+3 n=0 ii. iii. n=1 n!…

A: To find the radius and interval of convergence for each series, we can apply the Ratio Test for…

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A: To generate random variables with the given PDFs using the inverse CDF method, we need to find the…

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A: A) AC∗BD=AB∗CD+BC∗DAB) sin(Θ)sin(Φ)=sin(α+β)sin(γ+δ)+sinβsinδExplanation:step1:  step2:

Q: Let A = [6-24] [3 -15 We want to determine if the equation Ax = 0 has nontrivial solutions. To do…

A: Option A is correct answer  And -1/2 timesExplanation:

Q: Nitin

A: Answer is following in explanation step.Explanation:

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A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Consider F and C below. F(x, y) = (1 + xy)exy i + x²exy j C: r(t) = cos(t) + 3 sin(t)j, osts (a)…

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A: The curve is :

Q: 1. (a) Find the first 5 coefficients a0, a1, a2, a3, a4 of the power series expansion at zero y(x) =…

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Q: Calculate the inverse Laplace transform: 48 + 10 s2+28+3

A: The given inverse Laplace transform is .The aim is to find the inverse Laplace transform.The inverse…

Q: The general solution of y' = X У can be written in the form = C

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Q: Use gaussian elimination to find the complete solution to the following system of equations or show…

A: The objective of this question is to solve the system of linear equations using Gaussian…

Q: Use polar coordinates to evaluatedA, where D is the region inside the D rcle x² + (y − 1)² = 1 but…

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Q: work out the problems below refering to the sets:

A: H ⊆ C:  False.Ø ∈ E:  False.F ∪ D: F ∪ D = {1, 3, 5, 7, 9, 11}Cˉ: Cˉ = {1, 3, 5, 7, 9, 11, 13, 14}D…

Q: =1 (a) V=R2x2, U = {AEV | sled A = 0}. (b) V=R³, U= {(x, y, z) = V | 2x+y-z = 0}. (c) VR₂[x], U =…

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Q: a) Consider the ordinary differential equation dy = f (t, y). dt (1) By integrating equation (1)…

A: :Break time into steps (Δt).Approximate change as current value times rate of change times Δt.Add…

Q: 16. 0"(t)(t) = t sint

A: The objective of this question is to find the derivative of the function f(t) = t * sin(t).

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A:

Q: Solve using gauss Jordan elimination  4x¹-7x²-5x³=30 X¹-3x²   =10 Write the system of equations as…

A: The solution is (4+3x3​,−2+x3​,x3​)Explanation:Given:4x1​−7x2​−5x3​=301x1​−3x2​=10 Write the system…

Q: Let R: R2R2 that sends each point to its reflection in the x-axis. Find the transformation matrix A.…

A:

Q: Can you answer questions

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Q: (a) Yes. (b) No. LE ex²+y² sin ydydx = 0?

A: We have to verify  or not.

Q: An element x of a group satisfies x2 = e precisely when x = x-1. Use this observation to show how…

A: So no. of the elements of order 2 has to be odd.Explanation:Step 1: a = at ein ide">

Q: Solve using gauss Jordan elimination  3x¹+6x²-16x³=2 2x¹+19x²-50x³=22 x¹+5x²-13x³=5

A: The objective of the question is to solve the system of linear equations using the Gauss Jordan…

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A:

Q: Use the information in the table to: (i) find the dimensions of the row space of A, column space of…

A: Given thatSize of A = Rank [A]= Rank [A | b] = We have to find: (i) find the dimensions of the row…

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A: = 36Explanation:To solve this problem, we need to use the concept of combinations. Given…

Q: 5. ex+ydx = dy χ

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 9.2-3. Consider the transportation problem having the following parameter table: Destination 1 2 3 4…

A:

Q: 2 v. f(x) = x tan1 x², centred at x = 0

A:

Q: The total charge (coulombs) in the circuit at time t is given by the equation: Q(t)=3 sin t+2t^2-2…

A: We have to find the formula for the current. To do that, we need to use the relationship between…

Q: 14. Establish the identity below using a combinatorial proof. 3 n 1 - 2 n - (2) (2) + (¿) (* 2³) +…

A: From the given question take L.H.S ,USE BINOMIAL COEFFICIENTS  Formula to solve it ,  then expand…

Q: Differential equations. Your employer automatically puts 10 percent of your salary into a 401(k)…

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Q: Which of the following sets forms a subgroup in the additive group Z? (a) {1} (b) N (c) {1, -1}. (d)…

A:

Q: Solve the initial value problem (1+z²)y" +1y = 0, y(0) = 0, y'(0) = 8. If the solution is y=co+c+cr²…

A: Question is solved below Explanation:

Q: Please help

A: To sum up , every element of T/~is an equivalent class of the form[a]={a+n|nEZ},where a is any real…

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A:

Q: PLEASE DO PART C AND PLEASE SHOW WORK AND STEPS

A: The Lagrange interpolating polynomial p(x) always tends towards positive or negative infinity as(x)…

Q: 5.2. Find a unit speed curve a(s) wit' x(s) = 1/(1+s²) and 7 = 0.

A: We need to find a un it speed curve  such that

Q: Find all of the eigenvalues of the matrix A over the complex numbers C. Give bases for each of the…

A: The answer is given below.Explanation:

Q: Section 1: K/U Multiple Choice: [5 Marks] 1. The lim x->4-7 a) 4 - 2. The lim x-4+ √x² – 16 a) 0…

A: The objective of the question is to test the understanding of the concept of limits, continuity, and…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: The answers have been provided.Explanation: