Linear and quadratic approximationa. Find the linear approximating polynomial for the following functions centered at the given point a.b. Find the quadratic approximating polynomial for the following functions centered at the given point ac. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity.f(x) = e?x, a = 0; approximate e?0.2.

Solution 7EStep 1:We need to find the linear and quadratic approximating polynomial for The linear approximation for at is given by The Quadratic Approximation for a function y = f(x) based at a point a is given byStep 2:a. Find the linear approximating polynomial for the following functions centered at the given point a.Given , a = 0, since Thus the linear approximation for at is L = 1+(-1)(x-0) = 1-x