Rainfall Prediction: A Mathematical Model?
The annual rainfall in a certain region is modelled by the function R(x) = (1/3)x^3 - 40x^2 + 5x + 120, where R(x) is the amount of rainfall in mm for x hectares of land. If a new irrigation project is to be built in the region, calculate the rate at which the rainfall is changing at x = 50 hectares.
1 Answer
⚠️ COMMON MISTAKE: Students often confuse the concept of rate of change with the total change, and forget to use the correct derivative to find the rate of change. They may also forget to evaluate the derivative at the given point x = 50 hectares. To avoid this mistake, make sure to carefully apply the power rule of differentiation and evaluate the derivative at the correct point.
25 Sept 26
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