Suppose that the function f is continuous everywhere. Suppose that F is any antiderivative of f, and that F(2)=1 and F(-2)=-1. Then -2 f(x) dx = 2 while [ f(x) dx + f² f (x) dx = -2

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Q: 5- X dy + y dx = x cosx dx

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Q: Find the inverse of the given matrix using Adjoint Matrix: 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: We know A-λI = 0 A-λI =    1-1   0   0-1   2-1   0  0-1   2-1  0  0-1   2-λ1000010000100001 = 0