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Mathematics, 09.11.2019 00:31 janellball16

In this question, f : r -r is a differentiable function. we will use linear ra try to find a good linear approximation to f near a point x=a. our linear approximation will be of the form y = c+ma. use the values of f at the point x = a and the nearby point x = a + h to find a good approximation. (you will need to set up a linear system involving c, m, a, h, f(a), f(a + h), where c and m are the variables. you should also be able to solve this linear system exactly for the vector c m .)

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