Mathematical Methods

You have been contracted by the architectural firm to assist their calculations. You are
to determine the equations of the curves and write a report for the team of architects to
present to their client, detailing which roof structure would give the maximum volume.
Local building regulations specify that for safety reasons, the maximum slope of a
warehouse roof cannot exceed 30 .
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As the company is newly founded, they want to have a logo designed and painted on
the front wall of the warehouse. They are entering the fishing industry, and want their
logo to reflect that idea. The area of the logo should be at least 25% of the walls area,
but no more than 35% of the area. The architects have asked you to design a logo for
the client to these specifications. In addition, the design must also include at least three
different functions from the following list:
● linear
● quadratic
● cubic
● quartic
● exponential
● logarithmic
● cosine
● sine
You must justify why your logo would be a suitable model for the clients to accept.