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Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100 (pi) ft?
A farm in the US can produce 100 units of wheat per year or 50 units corn per year. A farm in the Sudan can produce 25 units of wheat per year or 5 units of corn per year. What would the terms of trade be?
Modelling the Rules of a Game. Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far..
Probability that both circuits are defective, A factory worker places 93 newly created circuits on a shelf to be checked for quality. Of these, 8 will not work correctly. Suppose that she is asked to randomly select two circuits
Normal Probability: Diameter of Grapefruits. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.
A rectangular page is to contain 114 square inches of printable area. The margins at the top and bottom of the page are each 1 inch, one side margin is 1 inch, and the other side margin is 2 inches. What should the dimensions of the page be so tha..
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
a rectangle storage container with an open top is to hav a volume of 10m^(3). the length of its base is twice the width. material for the base costs $10 per square meter. material for the sides cost $6 per square meter. find the cost of materials ..
During the first part of a trip, a canoeist travels 98 miles at a certain speed. the canoeist travels 44 miles on the second part of the trip at a speed 5 mph slower. the total time for the trip is 3 hours. what was the speed on each part of the t..
Kathy bicycles 4 km/h faster than Javier. In the same time, it takes Javier to bicycle 33km, Kathy can bicycle 45km. How fast does each bicyclist travel?
The objective is to minimize the sum of the completion times of all the jobs. Provide an integer programming formulation for this problem.
What is the annual percentage yield of each CD?
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