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According to postal regulations, the girth plus the length of a parcel may not exceed 108 in. What is the largest possible volume of a rectangular parcel with two square sides that can be sent?
The circumference of a sphere was measured to be 89000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Explain whether or not this is a linear quadratic regulator problem - Solve the problem in part (c), by hand, to obtain the final solution for the original optimal control problem x1(t), x2(t) and u(t). Show the details of the work.
What is the probability that Marge will get her espresso before Homer gets his coffee?
A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl.
A motorboat travels 356 miles in 4 hours going upstream and 357 miles in 3 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
In the language of government statistics, the "labor force" includes all civilians over 16 years of age who are working or looking for work. We select a member of the U. S. labor force at random, and let A be the event that the person selected is ..
So the question is, in the long run, what fraction of the time will the stock increase in price?
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.75, and in January 2006, the price of regular unleaded gasoline was $2.57.
Construct a stem and leaf plot of the data.
A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration. How many liters of each solution must be mixed to obtain 76 liters of a 28% solution?
The first observation results in an angle of elevation of 47 degrees, whereas the second results an angle of elevation of 35 degrees. If the transit is 2 meters high, what is the height h of the mountain?
use the product rule and these figures to estimate the rate at which total personal income was rising in the richmond-petersburg area in 1999. explain the meaning of each term in the product rule.
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