Tomato plant can grow by only utilizing the available soil and rain sources. However, with a...

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Tomato plant can grow by only utilizing the available soil and rain sources. However, with a desired amount of irrigation and fertilization, tomato harvest can be maximized. Question 1: a) Without irrigation and fertilization, a tomato plant reaches maximum 2 m where 99.9% of the growth process occurs in 75 days. At 12.5th day, its height is approximately 1.26 m. 1) Derive the model, 2) Obtain the analytic solution, 3) Simulate and analyse it. b) With the fertilization, its height becomes 3.5 m in 60 days. 1) Model the tomato plant, 2) Derive its analytical solution, 3) Simulate and analyse. c) With the fertilization and irrigation, it reaches 5 m in 60 days. 1) Model the tomato plant, 4) Derive its analytical solution, 5) Simulate and analyse. d) Consider the tomato plant; 1) Classify the system properties, 2) Draw the closed loop block diagram, 3) Reduce the block diagram. Tomato plant can grow by only utilizing the available soil and rain sources. However, with a desired amount of irrigation and fertilization, tomato harvest can be maximized. Question 1: a) Without irrigation and fertilization, a tomato plant reaches maximum 2 m where 99.9% of the growth process occurs in 75 days. At 12.5th day, its height is approximately 1.26 m. 1) Derive the model, 2) Obtain the analytic solution, 3) Simulate and analyse it. b) With the fertilization, its height becomes 3.5 m in 60 days. 1) Model the tomato plant, 2) Derive its analytical solution, 3) Simulate and analyse. c) With the fertilization and irrigation, it reaches 5 m in 60 days. 1) Model the tomato plant, 4) Derive its analytical solution, 5) Simulate and analyse. d) Consider the tomato plant; 1) Classify the system properties, 2) Draw the closed loop block diagram, 3) Reduce the block diagram.

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a Without irrigation and fertilization the growth of the tomato plant can be modeled using exponential growth Lets denote the height of the plant at time t as Ht The growth rate can be assumed to be c... View the full answer