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# Question 1 A wire is 100cm long and is cut into two portions. Each portion is used to form an equilateral triangle and a circle. What are the maximum and minimum combined areas of the two shapes

Question 1 A wire is 100cm long and is cut into two portions. Each portion is used to form an equilateral triangle and a circle. What are the maximum and minimum combined areas of the two shapes.

Question 2 Determine the approximate values of x at t = 0.5 and 2.5 of the following differential equation using Euler and a spreadsheet: 𝑑𝑥 𝑑𝑡 = 𝑡 2 + 𝑥𝑒 −𝑡 𝑤𝑖𝑡ℎ 𝑥(0.1) = −1 Question 3 A ladder 3.75 metres long leans up against a perpendicular wall and just touches the outer top edge of a cubic packing case pushed up close to the wall (see Figure 1). How far up the wall is the top of the ladder?

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