Find the Area Bounded by the Curves $y = \cos x$

question 56

Multiple Choice

Find the area bounded by the curves $y = \cos x$ and $y = \cos ^ { 2 } x$ between $x = 0$ and $x = \frac { \pi } { 2 }$ .

• A) \(\frac { 1 } { 4 }\)
• B) 4
• C) \(\frac { \sqrt { 2 } } { 2 }\)
• D) \(\frac { 1 } { 2 }\)
• E) none of these

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Definitions:

Standard Error

The standard deviation of the sampling distribution of a statistic, often used to measure the accuracy of a sample mean.

Standard Deviation

A measure of the dispersion or variability of a dataset, representing the average distance between each data point and the mean.

Sample Mean

The average of all the data points in a sample taken from a population.

Probability Sampling

A sampling method in which every member of the population has a known, non-zero chance of being selected, ensuring representativeness and allowing for the calculation of sampling error.