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Q: (a) Let A = B(X) where X is a Banach space. Suppose there exists m >0 such that ||Ax|| ≥ m||x||, Vx…

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Q: 1-3 0 -4 02 Let A = and b = 1 -2 Define a transformation T: ³->³ by T(x) = Ax. If possible, find a…

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Q: + 2y

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Q: 4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the…

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Q: 4- which formula gives aproximation of integral f f(z) dz using 4-segments Simpson'srule? a) Is(f) =…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. y…

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Q: In Problems 10-80, decide whether or not the method of undetermined coefficients can be applied to…

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: Prove that for every n E N is a² | (a + 1)^+1. - 1)n+¹ na — (a + 1), a € N. - -

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Q: B) Solve the y(0) 2 and y'(0)=0 differential equation by using Laplace transform y"-y=-t²

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: 3 The equation X³-X-e¹-2 = 0 has a root between x = 2 and x = 3. du a). Write five different…

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Q: 3. Show that X = (x)Ax=b, x ≥ 0} is convex.

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Q: Let H be a Hilbert space and A E B(H). Show that (ker A*)+. (a) Image A = (b) ker A = (Image A*)+.

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