a) For which values of the constant a is the function f(x) = ax^6 concave up? (Enter your answer using interval notation. Enter EMPTY or ∅ for the empty set.)
b) For which values of a is the function concave down? (Enter your answer using interval notation. Enter EMPTY or ∅ for the empty set.)
2. For the equation, find dy/dx evaluated at the given values.
x^2y + y^2x = 0 at x = −1, y = 1
dy/dx=
3. 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 4 inches?
Hint: The volume of a sphere of radius r is V = (4/3)Ï€r^3 in^3 per hr