Worldwide soybean production in a given year depends on the average temperature T and the average rainfall R. Scientists estimate that the average temperature is rising at a rate of 0.15◦ C/year and that rainfall is decreasing at a rate of 0.1 cm/year. They also estimate that at current production levels, ∂W/∂T = −2 and ∂W/∂R = 8.
A) What is the significance of the signs of these partial derivatives?
B) Estimate the current rate of change of wheat production, ∂W/∂t.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet

What is the area of this figure. select from the drop down box menu to correctly complete the statement shows a rectangle 3in. by 16in. and a trapezoid center is 10 in. by 5 in. answers are 128 136 153 258