Assignment:
Q1. 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.
Q2. Find the differential dw for w =ysin(x+z)
Q3. Find the equation of the plane tangent to z=-sin((pi)yx^2) at the point P =(1,1,0).
Provide complete and step by step solution for the question and show calculations and use formulas.