Hi there! I have a couple of questions about some calculus problems I am working on. I was hoping someone could help me and show their work since I actually want to learn this. I will be upvoting all correct answers. I really appreciate any help you can provide.
1. The linear approximation at x=0 to f(x) = 1 / √8-x is L(x) = A+Bx where
A = ?
B = ?
2. Use linear approximation, i.e. the tangent line, to approximate √25.1 as follows:
let f(x) = √x
The equation of the tangent line in slope-intercept form to f(x) at x=25 can be written in the form y=mx+b where:
m = ?
b = ?
Using this we find our approximation for √25.1 is ?
For the last part, give your answer to at least 6 sig figs or use fractions to give the exact answer.
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