Given that y1 = x² is a solution of x²y'' + 2xy' − 6y = 0 use reduction of order (show all the steps DO NOT use the formula) to find a second solution y2

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Captain umaima has a ship, the h.m.s. khan. the ship is two furlongs from the dread pirate nadia and her merciless band of thieves. the captain has probability 3/7 of hitting the pirate ship. the pirate only has one good eye, so she hits the captain's ship with probability 2/5. if both fire their cannons at the same time, what is the probability that the captain hits the pirate ship, but the pirate misses.

What is the volume of the composite figure? cubic inches