Find an equation for the circle of curvature of the curve r(t) = 6t i + sin(5t) j at the point (3x, 1). (The curve parameterizes the graph of y = sin ex in the xy-plane.) An equation for the circle of curvature is D. (Type an equation. Type an exact answer, using x as needed.) 5 16

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A: I am attaching image so that you understand each and every step.

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.