You are an orange farmer experimenting with a new fertiliser. Having divided your orchard into numerous sub-plots, you applied different concentrations of this fertiliser on each of the plots and measured the yield of oranges in kilograms per acre. It is worth noting that too little fertiliser had very little effect on the yield and too much fertiliser ended up stunting fruit growth and reducing your yield. To work out the optimal fertiliser concentration, which two numerical methods would you need and which order would you need to apply them in? a. Curve fitting, followed by solving an ODE. b. Solving an ODE followed by root-finding applied to the derivative of the resultant curve. c. Root finding followed by numerical integration. d. Solving a system of linear equations followed by solving an ODE. e. Numerical integration followed by solving an ODE. f. Curve fitting, followed by numerical integration. g. Curve fitting followed by root-finding applied to the derivative of the fitted curve. h. Numerical integration followed by solving a system of linear equations.
You are an orange farmer experimenting with a new fertiliser. Having divided your orchard into numerous sub-plots, you applied different concentrations of this fertiliser on each of the plots and measured the yield of oranges in kilograms per acre. It is worth noting that too little fertiliser had very little effect on the yield and too much fertiliser ended up stunting fruit growth and reducing your yield.
To work out the optimal fertiliser concentration, which two numerical methods would you need and which order would you need to apply them in?
Curve fitting, followed by solving an ODE.
Solving an ODE followed by root-finding applied to the derivative of the resultant curve.
Root finding followed by numerical
Solving a system of linear equations followed by solving an ODE.
Numerical integration followed by solving an ODE.
Curve fitting, followed by numerical integration.
Numerical integration followed by solving a system of linear equations.
Given- You are an orange farmer experimenting with a new fertilizer. Having divided your orchard into numerous sub-plots, you applied different concentrations of this fertilizer on each of the plots and measured the yield of oranges in kilograms per acre. It is worth noting that too little fertilizer had very little effect on the yield and too much fertilizer ended up stunting fruit growth and reducing your yield.
To find- To work out the optimal fertilizer concentration, which two numerical methods would you need and which order would you need to apply them in?
- Curve fitting, followed by solving an ODE.
- Solving an ODE followed by root-finding applied to the derivative of the resultant curve.
- Root finding followed by numerical integration.
- Solving a system of linear equations followed by solving an ODE.
- Numerical integration followed by solving an ODE.
- Curve fitting, followed by numerical integration.
- Curve fitting followed by root-finding applied to the derivative of the fitted curve.
- Numerical integration followed by solving a system of linear equations.
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