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W Figure 1 a) The fence is expected to be rectangular in shape, and the area to be covered by the fence is represented in

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W Figure 1 a) The fence is expected to be rectangular in shape, and the area to be covered by the fence is represented in Equation 1. A is the area covered by the fence, L is the length, and W is the width of the fence, which is equal to 242. All dimensions are in meters. A = 40L - W Equation 1 Estimate the length of the fence (L) if the area to be covered is 150 me. From the early design, it was estimated that the length would be between more than 3 m. By using any suitable numerical method, let the iteration proceed until the error ~0%. ANSWER (a) L= (m) b) Now that the land is secured, it is time to build a glass aquarium with a square bottom and open top. In designing the aquarium, you want to minimize the surface area (SA) of the aquarium to reduce the glass material used. At the same time, you want to ensure that it holds a volume (V) of 6 m of water. It is estimated that the glass material can be minimized using a width size between 2 and 2.5 m. The equations related to the aquarium and based on the dimension in Figure 1 are as follows: SA(X) =X2 + 24X -1 Equation 2 where X is the width also the height of the aquarium. All dimensions are in meters. By using a suitable numerical method, estimate the width (X) of the aquarium to achieve this purpose. In any relevant method, use 0% as the stopping criterion. ANSWER (b) X= (m) 4 decimal placesQuestion 4 A piece of land has a river flowing at one of its sides is shown in Figure 1. The land has the Not yet potential to be developed for ecotourism by building an aquarium. Prior to that, the borders answered must be marked by raising a fence to secure the land. Marked out of 35.00 River P Flag question X Aquarium W Figure 1 a) The fence is expected to be rectangular in shape, and the area to be covered by the fence is represented in Equation 1. A is the area covered by the fence, L is the length, and W is the width of the fence, which is equal to 212. All dimensions are in meters. A = 40L - W Equation 1 Estimate the length of the fence (L) if the area to be covered is 150 me. From the early design, it was estimated that the length would be between more than 3 m. By using any suitable numerical method, let the iteration proceed until the error ~0%. ANSWER (a) L= (m) b) Now that the land is secured, it is time to build a glass aquarium with a square bottom

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