dvanced Math 1. Find solution of the system of linear differential equa tion.. Use matrix method. 4 1 1 X' = (9) 1 4 1 114 Write clean, and clear. Show steps of calculations. X

Q: Consider xy' = y(lnx - In y) with y(1) = 4. Using Runge-Kutta method with h-0.1, approximate y…

A: Given,xy'=y(lnx-lny) y(1)=4; h=0.1To find: y'(1.3) using Runge-Kutta method

Q: Giving the joint pdf of a bivariate R.V. (X, Y) as shown below. (A) Determine the constant k. (B)…

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Q: 7. Check that a=2" +1 is a solution to the recurrence relation an -2-1-1 with a₁ = 3. n

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Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx − 4y + 2 = 0 an empty set.

A: Fact :- Sum of squares is always non negative

Q: Determine if the series is convergent or divergent using Ratio test. Σ 42n+1(n+1) n=1

A: Solution

Q: Suppose that the medians of a AABC make angles a, ß, y with each S = cota + cot ß+ coty+cot A+ cot B…

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Q: Find the area of the triangle formed by the lines repr

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Q: Find the probability that in Family of y children will least (1) boy - probability male birth is…

A: Solution : Probability of at least one boy = 1- probability of 0 boys. probability of 0 boys =…

Q: Solve the differential equation using modified Euler's and 4th order RK method lnx(dy/dx) + y = cot…

A: We can solve this using 4th order RK method and

Q: Solve the given differential equations or initial-value problems swer only three)

A: 4. Given,             y'=y+xx

Q: Use differentiation in time domain to solve the the Laplace transform: y"+7y'+12y=21e³t; y(0)=7/2,…

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Q: The following data consists of a matrix of transition probabilities (P) of three competing…

A: Given that, P=0.10.60.30.70.10.20.20.20.6 and initial share state π1=0.3,0.6,0.1, i.e., Px1=0.3,…

Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: Use the Finite Difference method to write the equation x" + 2x² - 6x = 2, with the boundary…

A: Given the equation  x''+2x'-6x=2x0=0, x9=0

Q: Assume that the nth term in the sequence of partial sums for the series no an is given below.…

A: Sequence of partial sum for the series         ∑n=∞an  is   Sn=5+8n22-7n2 (.)   Behaviour of a…

Q: Find a Taylor series for the function f(x) = ln(x) about x = 0.

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Q: f(t) = {0, 0<t<3 otherwise

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Q: f(x)= 0, COSX, Find the tarier series above functions -12hxeo 02 X LTT/2 expansion of the

A: Given ,            f(x) =    0           ; -π2&lt;x&lt;0cosx       ;       0 ≤ x&lt;π2 (.)  Fourier…

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: 1. Let (x - 1) be a factor of 3x³ - 8x² + 3x + 2. Find the other factors of the polynomial.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Determine the value of 'k' if the L[ tk4t ] = 1/(s² - bs + 10).

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Q: 1. Determine the half-range cosine expansion of the given periodic function: t, f(t) = {₁-t₁ 0<t<π/2…

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Q: 1. Determine the half-range cosine expansion of the given periodic function: f(t) = { ₁-t₁ t,…

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Q: Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at…

A: Given that W is a solid such that it is cone with vertex at (0,0,0), centered about positive z-axis…

Q: For the equation 3y" + y' = 0, find the recursive relation equation. (n — 1) an–1 3n an-1 3n (n — 1)…

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Q: Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each…

A: We will take two cases to solve this problem

Q: Examine the continuity of f(z) = 2-√z+4 Z at z = 0

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Q: 5. Given the function f(x) = 1 + ex sin(4x) with integration limits from a = 0 to b = 1. Use…

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Q: 14. If R is a ring, then show that R/(OR) = R

A: Introduction: The quotient ring or a factor ring is an important ring in the theory of ring. For a…

Q: fø(z)= y + ja represents the complex potential for an electric field and x x = 2² + + (x+y)(x−y),…

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Q: Lines L₁ = ax+by+c= 0 and L₂ = lx+my+n=0 intersect at the poi each other. Find the equation of a…

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Q: 23. In the figure, DE // BA. Is CD perpendicular to DE? Explain Explain your answer. 24. In the…

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Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

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Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: Find the equation of the line if it passes through the points: (5,-1) and (3,2)

A: Solution

Q: Determine the value of k if the L[ tkt ] = 1/(s2 - bs + 6.0).

A: Solution

Q: Find the current in an LRC series circuit at t = 0.01s when L = = 0.2H, R 80, C = 12.5 x 10-³F, E…

A: Given that   t=0.01sL=0.2HR=8ΩC=12.5×10-3FEt=100sin10t Vq0=5Ci0=0A

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, approximate y '(1.3).…

A: For a differential equation of the form: y'=f(x,y), RK-4 method uses the following equations to…

Q: 24. (a) Verify that 4xy if 0≤x≤ 1, 0 ≤ y ≤ 1 f(x, y) Lo otherwise is a joint density function. (b)…

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Q: variable circle through the origin and touching the hyperbola xy = c

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Q: Q2/ Use Partial fraction dx. x(x²+ 1)² to evaluate

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Q: 7. Find K when, P(x) = 3x³ - 7x² + kx - 2 D(x) = x + 2 R=-64

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

A: Solution :-

Q: Find the Fourier Series of the given periodic function. 4, f(t) = {_1 -π≤t≤0 0 < t < π

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Q: Using Newton-Raphson Method and Newton 2nd Order Method, what is the root? Use error = 1 x 10°.…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Use Laplace transform to obtain the output current i(t) in ampere for t = 1 second for the given…

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Q: In the equation f(x) = 0.2 + 25x -200x2 + 675x3 – 900x4 + 400x5, the exact integral is 1.640533 from…

A: The given function is  fx=0.2+25x-200x2+675x3-900x4+400x5 over interval 0,0.8.