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6. (1 pt) Corn production, C , is a function of rainfall, R (in inches), and temperature, T (in degrees C). The first figure be- low shows how rainfall is predicted to vary with time because of global warming; the second, how temperature is predicted to vary with time because of global warming. Graph of rainfall, R vs. time, t
z = cos x + y , x = v cos ( u ) , y = v sin ( u ) , find z / u and z / v . The variables are restricted to domains on which the functions are defined. z / v =
Graph of temperature, T vs. time, t Suppose that we know that Δ C 3 Δ R - 4 . 7 Δ T Use this to estimate the change in corn production between the year 2020 and the year 2021.
Correct Answers: -0.541 -0.541
5. (1 pt) If ( 2 2 ) 7. (1 pt) Air pressure decreases at a rate of 1.75 pascals per kilometer in the eastward direction. In addition, the air pres- sure is increasing at a constant rate with respect to time every- where. A ship sailing eastward at 16 km/hour past an island takes barometer readings and records a pressure drop of 30 pas- cals in 2 hours. Estimate the time rate of change of air pressure on the island. (A pascal is a unit of air pressure.)

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