Can anyone help? Here's the problem:
Here's the question:
A box with open top is to be constracted from a square piece of cardboard 3feet wide,by cutting out a square from each of the corners and bending up the sides. Find the largest volume that sucha box can have.
a) Picture: Draw a diagram illustrating the general situation.
b) Objective: Write an expression representing the volume fo the resulting box.
c) Help: Make sure that the objective is entirely in terms of one variable, x.
d) Maximize or Minimize: Find the critical points of the object.
e) Prove it: Use the closed interval domain check, the 1st derivative or the 2nd derivative test. ( pos says min, neg says max)
f) Answer the question: Use the variable solution to answer the particular problem's question.