Solve the Problem $y = \ln ( \csc x ) , \pi / 4 \leq x \leq \pi / 2$

question 59

Multiple Choice

Solve the problem.
-Find the length of the curve $y = \ln ( \csc x ) , \pi / 4 \leq x \leq \pi / 2$

• A) \(\ln ( \sqrt { 2 } + 1 )\)
• B) \(\ln ( 2 \sqrt { 2 } )\)
• C) \(\ln ( \sqrt { 2 } )\)
• D) \(1 - \ln ( \sqrt { 2 } + 1 )\)

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Definitions:

Good Estimates

Approximations or judgments that are considered to be close to the actual value or outcome, often based on some form of logical reasoning or previous data.

Statistically Significant

A determination that the results observed in data are unlikely to be due to chance alone, according to a predefined threshold of probability.

Sample Averages

This refers to the mean value calculated from a sample of data, representing the central tendency of the sampled population.

Standard Deviations

A statistical measure that quantifies the variation or dispersion of a set of numerical data points around the mean of the data set.