1 A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
2 Find the differential dw for w =ysin(x+z)
3 Find the equation of the plane tangent to z=-sin((pi)yx^2) at the point P =(1,1,0)
Maximum Volume and Tangents are found using derivatives. The solution is detailed and well presented.