Consider the function f(x) = cos x. (a) Find p2(x), the 2nd Taylor polynomial for f(x) about x = (b) Approximate cos 50° using the polynomial from part (a). Round your answer to four decimal places. (c) Use the Remainder Estimation Theorem to find an upper bound for your approximation in part (b), i.e. how big can |R2(50°)| be? Round your answer to four decimal places. Recall the Remainder Estimation Theorem: If |f(n+1)(x)| < M for all æ on an interval I containing xo, M |x – xo]"+1 for all æ in I. (n + 1)!' then |R„(x)| <

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.