The Equations of The Curves and Roof Structure - Mathematics Assignment Help

Assignment Task 

Task 
 

You are helping the architects with their calculations. Determine the equations of the curves and write a report for the architects to present to their client, showing which roof structure would give the greatest volume. When checking all of the regulations, it is found that, for safety reasons, the maximum slope of the roof structure can be no more than 32°. Will this change the recommendations the architects give their client?

After the roof structure has been chosen to meet all safety requirements, the client also asks that the rear wall of the warehouse include a large rectangular section made from special material for light and ventilation purposes. The architects leave you to find the dimensions and area for this special section so they can brief their client. The client also wishes to have a large painting of a proposed company logo on the front wall of the warehouse. As the client is involved in the fishing industry, their logo needs to reflect their interests. Below is a sketch of a simple logo suggested by the architects. 

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