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Wheat production in a given year, W, 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, ∂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, dW/dt.
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
Is this possible? Either indicate how it may be done, or prove that it is impossible and find the degrees of the remaining vertices - In how many di erent ways can they be seated in a row
Two trains leave stations 588miles apart at the same time and travel toward each other. One train travels at 95miles per hour while the other travels at 115miles per hour. How long will it take for the two trains to meet.
Find sample size
A commercial freight carrier is flying at a constant speed of 400 mi/h and is traveling 4 miles east for every 3 miles north. A private plane is observed to be 210 miles east of the commercial carrier, traveling 12 miles north for every 5 miles wes..
project overviewin this final part of your project you will cover step 4 of the statistical analysis process -
At a restaurant the tips are split between the busboy and the waiter in the ration of 2 to 7. Find the amount each received in tips if there was a total of $162 in tips. Declare a variable for one of the peoples tips. Declare the other person's ti..
The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
Solving the word problem using the properties of similar triangles
The demand for Carolina Industries' product varies greatly from month to month.
A production run of toothpaste requires a fixed cost of $100,000. The variable cost per unit is $3.00. If 50,000 units of toothpaste will be sold during the next month, what sale price must be chosen in order to break even at the end of the month?
Find the length of the field, to the nearest tenth, that will give the entire field a maximum area if 414 m of fencing is available.
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