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Applications of Derivatives : Maximum Volume and Tangents

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)

Solution Summary

Maximum Volume and Tangents are found using derivatives. The solution is detailed and well presented.