n[n-1, +∞) = 0).

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A: we will choose the edge having minimum spanning starting from H let HA edge be taken as e1. let AB…

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Q: (a) Show that V(x, y) = ln(1 + ²) + y² is a Lyapunov function for the system x' (t)= x(y-1), y(t)=-…

A: As per your query the solution of the part (a) of the problem 4 has been given in the next step.

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Q: Let f (0, 1] → R such that f(t) = t-1/2. Prove that f is Lebesgue integrable over (0,1]. (Hint:…

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Q: - Find the laplace transform of the 1VP: y''' — 4y = et + t, y = y'(0) = y"(0) = 0 Find the lanlace…

A: Laplace transform of the given differential equation

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Q: a. Among the numbers -14, -2, 2, 22, determine which pairs are congruent modulo 8. b. Using the…

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Q: Use the Laplace transform to solve the given system of differential equations. dx = 4y + et dt dy =…

A: Solution:

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Q: The laplace transform of f(t) = t^3 (sinh 2t − cos 2t)

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Q: y Consider the surface of equation z = X+Y² What is the equation for the tangent line to S at the…

A: This is a problem of vector calculus.

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A: Solution :-

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Q: QUESTION 15 Calculate the minimum value of 3x + 6y subject to the following constraints: x+y22 x +…

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A: For the solution of the problem follow the next steps.

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A: