What is the maximum possible volume of a right circular cylinder with a total surface area (including the top and the bottom)?
600 pi in^2
f(x)= 2x^3+ 3x^2- 180x+ 150
Find dx/dt given
Sketch, the graph of f(x). Identify all extrema, inflection points, intercepts, and asymptotes. Show the concave structure clearly and note any discontinuities.
The maximum volume of a right circular cylinder is found using derivatives and inflection points. The solution is detailed and well presented.