Bush Ryan

08/14/2023 · Escuela secundaria superior

Suppose \( g \) is a function with continuous derivatives, and that \( g(0)=-14 \), \( g^{\prime}(0)=9, g^{\prime \prime}(0)=-5 \), and \( g^{\prime \prime \prime}(0)=9 \). What is the Taylor polnomial of degree 2 for \( g \), centered at \( a=0 \) ? \( T_{2}(x)=\square \) What is the Taylor polnomial of degree 3 for \( g \), centered at \( a=0 \) ? \( T_{3}(x)=\square \) Without rounding, use \( T_{2}(x) \) to approximate \( g(0.1) \). \( g(0.1) \approx T_{2}(0.1)=\square \) Without rounding, use \( T_{3}(x) \) to approximate \( g(0.1) \). \( g(0.1) \approx T_{3}(0.1)=\square \)