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1/3 1/3_ In this question, we will estimate the value of (4/5) using a linearization of f($) = (1 l 6:13) a] Find .3 (0)

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1/3 1/3_ In this question, we will estimate the value of (4/5) using a linearization of f($) = (1 l 6:13) a] Find .3\" (0) = 2 b] Find the linearization L(a':) of f($) at the point a: = 0. L(:r) = 1+2(x-0) a FORMATTING: Your answer must be a function of :12. c] Now work out for what value of a: we have f(:t:) = (4/5)1/3. Answer: a: = -1l"30 d] Since your answer in (o) is close to 0, we may use our linearization in (b) to estimate (4/5)1/3. Answer = Number You may verify with your calculator that this answer is close to the true value

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