Can you please help me with this problem and the parts that go along with it as well, I am struggling and I need to know how to do it.this is a advance math type problem, can you please label the steps and can you give it in full detail please label it and can explain it step by step ### Understanding the Impact of Temperature and Rainfall on Wheat Production**Wheat production, W, in Bushels/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:\[ \frac{\partial W}{\partial T} = -2 \]and\[ \frac{\partial W}{\partial R} = 8. \](a) **Explain, in one or two sentences, the meaning/significance of \(\frac{\partial W}{\partial T} = -2\).**The partial derivative \(\frac{\partial W}{\partial T} = -2\) indicates that for every 1°C increase in temperature, wheat production decreases by 2 bushels/acre, holding rainfall constant.(b) **Explain, in one or two sentences, the meaning/significance of \(\frac{\partial W}{\partial R} = 8\).**The partial derivative \(\frac{\partial W}{\partial R} = 8\) signifies that for every 1 cm increase in rainfall, wheat production increases by 8 bushels/acre, holding temperature constant.(c) **Compute the current rate of change of wheat production, \(\frac{dW}{dt}\). (t is time in years)**Given that:- \(\frac{dT}{dt} = +0.15\) °C/year,- \(\frac{dR}{dt} = -0.10\) cm/year, we can compute the total derivative \(\frac{dW}{dt}\) as follows:\[ \frac{dW}{dt} = \frac{\partial W}{\partial T} \cdot \frac{dT}{dt} + \frac{\partial W}{\partial R} \cdot \frac{dR}{dt} \]Substituting the given values:\[ \frac{dW}{dt} = (-2) \cdot (0.15) + (8) \cdot (-0.10) \]\[ \frac{dW}{dt} = -0.30 - 0.80 \]\[ \frac{dW}{dt} = -1.10 \

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Wheat production, W, in Bushels/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. ƏR aw OT aw (a) Explain, in one or two sentences, the meaning/significance of OT aw (b) Explain, in one or two sentences, the meaning/significance of = 8. ƏR (c) Compute the current rate of change of wheat production, (t is time in years) dW dl = -2.

Wheat production, W, in Bushels/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. ƏR aw OT aw (a) Explain, in one or two sentences, the meaning/significance of OT aw (b) Explain, in one or two sentences, the meaning/significance of = 8. ƏR (c) Compute the current rate of change of wheat production, (t is time in years) dW dl = -2.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 2EA

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