Q4. State Green's theorem for the plane. Verify Green's theorem in the plane for O (3x2 – 8y2)dx + (4y – 6xy)dy where C is the region bounded by the parabolas y = x², x = y². Also determine the area of the region bounded by the parabolas y = x², x = y². Q5. State Gauss's Divergence theorem. Verify the theorem for the vector function F = 4xi– 2y j+z’k taken over the region bounded by x² + y² = k² and z =0 and z = k .
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.
Choose K=5, please answer all the questions
Step by step
Solved in 5 steps with 5 images
