In this question, f : R → R is a differentiable function. We will use linear algebra try to find a good linear approximation to

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In this question, f : R → R is a differentiable function. We will use linear algebra try to find a good linear approximation to

f near a point x = a. Our linear approximation will be of the form y = c + mx. Use the values of f at the point a and the nearby point 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.

Mathematics

1 answer:

Vitek1552 [10] · Answer 1 · 2022-08-14T21:58:20+03:00

Answer:

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Step-by-step explanation:

Given that:

Our linear approximation will be of the form y = c + mx. Use the values of f at the point a and the nearby point 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.