# A box is to build with a square base and an open top. Material for the base costs #$4/m^2#, while the material for the sides costs #$2/m^2#. Find the dimensions of the box of maximum volume which can be built at a cost of #$1200#?

Box of maximum volume will be a cube of edge length

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the area of the region that lies inside the curves #r= 1+cos(theta)# and #r= 1-cos(theta)#?
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- How do you find the volume of the solid formed when the area in the first quadrant bounded by the curves #y=e^x# and x = 3?
- How do you find the area bounded by the x axis, y axis, #y=x^2+1# and #x=2#?
- How do you find the volume of the solid bounded by the coordinate planes and the plane 6x + 5y + z = 6?

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