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To solve this, we can approximate \(\cos(0.04)\) using the Maclaurin series expansion for \(\cos(x)\). The Maclaurin series for \(\cos(x)\) is given by:

\[
\cos(x) = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots
\]

We will use enough terms to get an approximation accurate to five decimal places.

Let's calculate the approximation using \( x = 0.04 \). I'll now compute that for you.Using the Maclaurin series for \(\cos(0.04)\), the approximation up to four

Approximate cos(0.04) to five decimal-place accuracy using the Maclaurin series for cos(x) and check your work by comparing your answer to the function value produced directly by your calculating utility.

Learn how to approximate cos(0.04) using the Maclaurin series expansion for cos(x), with a step-by-step solution to achieve five decimal-place accuracy. This problem covers essential calculus concepts related to series expansions and is suitable for university-level students studying Calculus.

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