Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as a comma separated list: r= 7,8 help (numbers) Enter two linearly independent solutions of the form above: y1 = x7 help (formulas) y2 = 48 help (formulas) Now find a solution satisfying the initial values y(1) = 4, y'(1) = 3: y= 29x? – 25,28 help (formulas)

Ametal rod is 2/5 meters long. it will be cut into pieces that are each 1/30 meters long. how many pieces will be made from the rod?

Which of the following represents the length of a diagonal of this trapezoid?

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?