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7 Feb 2023
Let f (z) = Squareroot z - 4. (a) Find P_2 (z), the 2nd degree Taylor polynomial for f (z) centered at z = 5. (b) What x - value would you plug into R_2 (z) to approximate Squareroot 2 (e) What is f (z)? Use this derivative to help determine a bound for the error that would result from using the result of part (a) to estimate Squareroot 2 Leave your answer in a calculator ready" form.
Let f (z) = Squareroot z - 4. (a) Find P_2 (z), the 2nd degree Taylor polynomial for f (z) centered at z = 5. (b) What x - value would you plug into R_2 (z) to approximate Squareroot 2 (e) What is f (z)? Use this derivative to help determine a bound for the error that would result from using the result of part (a) to estimate Squareroot 2 Leave your answer in a calculator ready" form.
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