Part A (5 points) Suppose fx{“version”:”1.1″,”math”:”fx”} is…
Part A (5 points) Suppose fx{“version”:”1.1″,”math”:”fx”} is a function which has continuous derivatives. Furthermore, the following are true: f ( 0 ) = − 2 f ′ ( 0 ) = 3 f ″ ( 0 ) = 1 f ‴ ( 0 ) = − 6 {“version”:”1.1″,”math”:”\begin{align*} f(0) &= -2 \\ f'(0) &= 3 \\ f”(0) &= 1 \\ f”'(0) &= -6 \end{align*}”} Find the third-degree Maclaurin polynomial for fx{“version”:”1.1″,”math”:”fx”}. Write your answer in the first answer box. Part B (2 points) Approximate f12{“version”:”1.1″,”math”:”f12″} using the Maclaurin polynomial you found in Part A. Write your answer in the second answer box. Hint: Do your algebra using fractions instead of decimals — it will be easier.