Suppose that f (x) = x·g(x) for some function g that is continuous at 0. Prove that f is differentiable at 0, and find f'(0) in terms of g.

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Q: Discuss theConvergence o the following

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A: 6 Given system of linear equation is  z−7x+y=22y+x−z=63z=0..........1 Rewrite the equation 1 as…

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Q: If: 1 5 9 -3 -8 6 -4 -6 -2 7 -8 -3 A = -1 8 7 2 -4 -8 7 -7 -2 -7 -6 3 -8 7 -8 7 4 -3 -5 B = -6 3 -5…

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Q: Exercise Suppose that vaccination strategies are implemented for newborns, so that not all newborns…

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Q: 290 +aa value of c' damping

A: Here, X1Ys=150,000cs+225000000010,000s4+290cs3+41850000+150,0000s+2250000000....(1)ξZeta=0.707

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Q: Q1: Find dy/dx for the following functions (solve four only):-

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Q: Find the area of the region enclosed by one loop of the curve. r = 4 sin(5theta)

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Q: 1. Consider the differential equation (which we saw on the wk 1 test) dy %3D У (у + 1)?(2 —у) dt…

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Q: Determine the Taylor Series of f(z)=arc f) (z) a WITHOUT using n!

A: This is a problem of Taylor expansion.

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