A particle moves along an elliptical path given by 2 2 4 4 x y + = in such a way that when it is at the point 3 ,1 2       its x -coordinate is increasing at the rate of 5 units per second. Find the rate at which the y - coordinate is changing at that instant.

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?