10. 2r"(t) – 2r'(1) – 4x(t) = 2eª

Q: Consider the following linear oredinary differential equations, 1s+ kıl35-x) +kaly-x) at dy = ka…

A: The following steps are used to obtain the general solution of the linear nonhomogeneous system…

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Q: a) Compute the Fourier transform of: 3133 2262 A = 1 131 134 1 b. Compute the inverse Fourier…

A: We are given a 4×4 matrix A, and we have to find its Fourier transform. Then we have to calculate…

Q: 0.5 and h = 0.05 find the approximate value of Y = In(1/X) using a 2nd order Taylor's If Xo %3D…

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Q: DA pond is modelled as a cone with its Snow melt is filling the pond at a rate of 7.5 cm per second.…

A: This is the problem of differential Calculus and its application.

Q: Use the composite trapezoidal rule to compute Jo e dx correct to 3 significant gures, taking 5…

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Q: Is the following set of vectors in R 3 linearly dependent: {(1, 0, 3),(2, 1, -2),(0, -1, 8),(7, 2,…

A: The solution is given as

Q: Let X1, X2, X3, X4 be a random sample of size 4 from a gamma distribution with parameters a = 3 and…

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Q: A bank manager would like to waiting time needed by those customers who have visited to his branch.…

A: GivenMean(x)=8.43standard deviation(s)=0.5473sample size(n)=25confidence interval = 99%

Q: 6. A = -2 1. Compute the inverse of the given matrix: -3 2. Solve the equation for the matrix B:…

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Q: Let G be the additive group R × R and H = {(x, x) : x E R} be a subgroup of G. Give a geometric…

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Q: 3. Let (N, F, P) be a probability space and (Xn)n>1 an iid sequence of random variables such that 1…

A: Xn P(Xn=1) P(Xn=2) P(Xn=3) P(Xn=4) X 1/10 2/10 3/10 4/10 (Xn)n≥1 be a…

Q: Prove

A: To prove that, works for every z:                      ez-1≤ez-1≤zez

Q: a. What is the degree of precision of Trapezoidal rule?

A: