Help with my polynomial/integration? - year 12 mathematics b.
The questions that I'm having trouble with are:
"You have been given the opportunity to design a feature to go on a suspension bridge that is to be built as part of a landscaping project for a local company. The feature is to be made out of marine ply (wood) and is to have patterns that will be created using a jigsaw to cut the timber. The program for the jigsaw can be set to the follow a polynomical function of degree 4, or two sections of polynomical function of degree 4, or two sections of a polynomial function of degree 3 or a section of a trigonometrical function. The patterns need to be symmetrical.
The plywood will be placed on both sides of the suspension bridge, covering the area between the hanging cables and the floor (the idea is to have the vertical supporting cables hidden) the bridge spans a gap over an artificial creek of 5.0m, the hanging cable is 1.0m at the ends and 0.5m high at the centre of the bridge. The plywood comes in 1200mm x 1200mm sheets (1.2m x 1.2m)
Determine how much plywood will be needed for each side of the bridge. Justify you choice by explaining all procedures used to determine the number of sheets needed. Keep in mind that minimal waste is ideal and that you should identify and explain any assumptions made.
Determine an appropriate function rule for cutting the decorative pattern along the sides. Include an accurate diagram which shows the shape of the finished produce. Explore the advantages and disadvantages of each of the possible types of function, together with the variables involved in each model.
I have no, no idea whatsoever on how to do questions 1 and 2, any help would be greatly appreciated.