Find all the points at which the direction of fastest change of the function f(x, y) = x2 + y2 − 4x − 2y is i + j.

All the points that lie on the line:

Step-by-step explanation:

In order to find the maximum rate of change, we need to find the gradient of the function. The gradient of a function of two variables is defined to be:

So:

Hence:

Since we need to find all the points at which the direction of fastest change of the function is . Then:

Therefore:

So, we can conclude, that all the points where the direction of fastest change of lie on the line:

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.