Implicit differentiation:

1.Find the slope of the tangent line to the graph at the point (2, 2).

y^2(x^2+y^2)=2x^2

2.In a ballon when air expands the pressure and volume are related by the equation PV^0.3 = c (constant) Boyle's law. Suppose in one instant P= 7.5 pascal and V=100cm^3 and pressure increasing (dp/dt) at the rate of 5pa/min, then at what rate the volume is increasing (dv/dt).