Suppose you are designing a rectangular box with a square base. The materials of which the base and the top is made is $16 per square meter. The cost of the material of which the sides of the box are made is $9 per square meter. (a) If the volume of the box is 1m³, find the dimensions of the box minimizing its cost.

Q: What are the dimensions for the cheapest possible rectangular box with a volume of 396 cm3  if the…

A:

Q: A rectangular box, with a top, is to hold 30 cubic metres. The material used to make the top and…

A:

Q: Which of the following are solutions to the differential equation f(x, y) whose slope field is…

A: The graphs of the given functions are as follows: A.  Here, y=x1+2x2. The function do not satisfy…

Q: that functions f and g are egrals from the given data S 3 f(x) dx if f(f(x)

A: Properties of definite integral: a. We need to find ∫013.f(x) dxWhere ∫01(f(x)-g(x))dx=3and ∫01g(x)…

Q: A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the top…

A:

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: Given,A fence is built to enclose a rectangular area of 240 square feet. The material required to…

Q: We need to construct a rectangular box with an open top with volume 1458. The material for the…

A: Assume  it is square base box side of square = l height of box = h

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

A: