Solve the below:
Q: Find dy/dx by implicit differentiation.
1. (2x+3y)^1/3 = x^2
2. x^2y^1/2 = x + 2y^3
3. The demand function for a certain make of ink jet cartridge is
p= -0.01x^2 - 0.1x + 6
Where p is the unit price in dollars and x is the quantity demanded each week, measure in units of a thousand. Compute the elasticity of demand and determine whether the demand is elastic, inelastic, or unitary at x =10.