Use the Alternating Series Estimation Theorem or Taylor's Inequality to Estimate

question 131

Short Answer

Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of $x$ for which the given approximation is accurate to within the stated error.
$\cos x \approx 1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 24 } \quad \mid$ error $\mid < 0.08$
Write $a$ such that $- a < x < a$ .

---

Definitions:

Work Cells

An arrangement in a manufacturing environment where all the necessary machines and equipment are placed close together to manufacture a product, improving coordination and efficiency.

Level Material Use

A strategy in production planning that aims for a constant rate of material use, minimizing fluctuations in inventory levels.

Repetitive Manufacturing

A production method where the same products or components are produced in a continuous flow or on a repetitive basis.

Intermittent Process

Refers to a production system where the flow of materials is irregular, handling a variety of products or services.