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Can anyone solve all of this for me please? 1. A juice company wants to sell juice in 444-mL containers. How much packaging would be

Can anyone solve all of this for me please?

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1. A juice company wants to sell juice in 444-mL containers. How much packaging would be saved by using containers shaped like cylinders instead of rectangular prisms? (1 mL = 1 cm3) blem 2. The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m2. One wall of the sunroom will be part of their house. a) One design is for a rectangular sunroom. Determine the minimum possible perimeter of this room, not including the wall attached to the house. b) Another design is for a sunroom in the shape of a semicircle with the straight edge attached to the house. Determine the perimeter of this room, not including the wall attached to the house. c) If the Shatzkins want to minimize the perimeter of the sunroom, not including the wall attached to the house, which design should they choose? 3. The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What dimensions will maximize the volume? Round your answers to the nearest tenth of a centimetre. 4. You have a sheet of paper with dimensions 100 cm by 100 cm. You will cut the four equal squares from each corner to make a box. These cutouts will create flaps that can be folded up to form a box with no lid. a) Express the volume of the box as a function of the side of cut out square. b) Express the surface area of the box as a function of the side of cut out square. c) State the domain and range for the volume and surface area functions. d) What are the dimensions of the finished box if the volume is to be maximized

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