Wheat production, W, in Bushcls/Acre is a function of temperature T in °C and annual rainfall, R in centimeters. Suppose that scientists observe that average temperature is increasing by 0.15°C/year and rainfall is decreasing by 0.10 cm/year. Further, it is estimated that =-2 and aw 8. OR aw UT OW (a) Explain, in one or two sentences, the meaning/significance of OT DW (b) Explain, in one or two sentences, the meaning/significance of dW ƏR dl <- 8. . (c) Compute the current rate of change of wheat production, (t is time in years)
Wheat production, W, in Bushcls/Acre is a function of temperature T in °C and annual rainfall, R in centimeters. Suppose that scientists observe that average temperature is increasing by 0.15°C/year and rainfall is decreasing by 0.10 cm/year. Further, it is estimated that =-2 and aw 8. OR aw UT OW (a) Explain, in one or two sentences, the meaning/significance of OT DW (b) Explain, in one or two sentences, the meaning/significance of dW ƏR dl <- 8. . (c) Compute the current rate of change of wheat production, (t is time in years)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Wheat Production and Environmental Factors**
Wheat production (\(W\)), measured in Bushels per Acre, is a function of temperature (\(T\)) in degrees Celsius and annual rainfall (\(R\)) in centimeters. Suppose that scientists observe the following environmental trends:
- The average temperature is increasing by 0.15°C per year.
- The annual rainfall is decreasing by 0.10 cm per year.
Further, it is estimated that:
- \(\frac{\partial W}{\partial T} = -2\)
- \(\frac{\partial W}{\partial R} = 8\)
### Questions
(a) **Explain, in one or two sentences, the meaning/significance of \(\frac{\partial W}{\partial T} = -2\).**
(b) **Explain, in one or two sentences, the meaning/significance of \(\frac{\partial W}{\partial R} = 8\).**
(c) **Compute the current rate of change of wheat production (\(\frac{dW}{dt}\)). (t is time in years)**
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