Answers created by Ethan T.

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• Construct a box whose base length is 3 times the base width. The material used to build the top and bottom cost $10/ft2 and the material used to build the sides cost $6/ft2. Volume of the box is 50 ft3, what are the dimensions that will MINIMIZE the Cost?
  
• On what interval is the function f (x) = x^3 e^x increasing?
  
• What is the equation of the tangent line to the curve y = 2xsin(x) at point (pi/2, pi)?