Solve the Problem $- 0.1928 \leq x \leq 0.7063$ B) $- 0.5525 \leq x \leq 0.2640$

question 319

Multiple Choice

Solve the problem.
-Use a graphical method to determine the approximate interval for which the second order Taylor polynomial for ln (1 + x) at x = 0 approximates ln (1 + x) with an absolute error of no more than 0.04.

• A) \(- 0.1928 \leq x \leq 0.7063\)
• B) \(- 0.5525 \leq x \leq 0.2640\)
• C) \(- 0.5525 \leq x \leq 0.5525\)
• D) \(- 0.4310 \leq \mathrm { x } \leq 0.5525\)

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Definitions:

Range

The difference between the highest and lowest values in a dataset, providing a measure of the data's dispersion.

Standard Deviation

An indicator calculating the spread of data around the mean, achieved by the square root of the variance.

Mean

The average of a set of numbers, calculated by dividing the sum of these numbers by the count of the numbers in the set.

Unimodal

Describing a distribution with a single prominent peak or mode, indicating the most commonly occurring value.