Biology: Wheat production w in a given year depends on the average temperature t and the annual rainfall r. scientists estimate that the average temperature is rising at a rate of 0.15°c/year and rainfall is decreasing at a rate of 0.1 cm/year. they also estimate that, at current production levels, δw/δt = -2 and δw/δr = 8. estimate the current rate of change of wheat production, dw/dt.

Wheat production w in a given year depends on the

Sadaalcala1

10.01.2022

-1.1

Explanation:

Data provided in the question:

Average temperature is rising at a rate, $\frac{dT}{dt}$ = 0.15°C/year

Rate of change rainfall, $\frac{dR}{dt}$ = - 0.1 cm/year

$\frac{\delta W}{\delta T}$ = -2

$\frac{\delta W}{\delta R}$ = 8

Now,

we need to calculate $\frac{dW}{dt}$

since,

The wheat production (W) is dependent on the rainfall (R) and the Temperature (T)

thus, Using the chain rule , we have

$\frac{dW}{dt}$ = $\frac{\delta W}{dT}\times\frac{dT}{dt}$ + $\frac{\delta W}{dR}\times\frac{dR}{dt}$

on substituting the respective values, we get

$\frac{dW}{dt}$ = -2 × 0.15 + 8 × (-0.1)

$\frac{dW}{dt}$ = -0.3 - 0.8

$\frac{dW}{dt}$ = -1.1

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itsyaboiimikey15

18.05.2020

answer:

1.h

2.b

3.g

4.a

5.d

6.e

7.c

8.f

explanation:

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