1. For the equation, find dy/dx

evaluated at the given values.x²y + y²x = 0atx = 1, y = 1 (show work)

2. A large snowball is melting so that its radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment when the radius is 5 inches? [Hint: The volume of a sphere of radius r is V =43r³.]

(Round your answer to the nearest integer.) (show work)

3. The number of welfare cases in a city of population p is expected to be W = 0.009p^4/3.

If the population is growing by 1200 people per year, find the rate at which the number of welfare cases will be increasing when the population is p = 1,000,000 (show work)