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A boat travels 3 km upstream and 3 km back. The time for the round trip is 8 hours. The speed of the stream is 2 km per hour. What is the speed of the boat in still water?
what fraction of the time will the stock increase in price?
A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
Probability of payment before creation of credit policy, Mucklehoney Sports operates a mail-order running shoe business.
where tower A is due west of tower B. A fire is spotted from the towers, and the bearings from A and B are N 76 degrees E and N 56 degrees W, respectively. Find the distance d of the fire from the line segment AB.
Write the definitions of the properties, reflexive, antisymmetric and transitive and the use the definitions to determine whether each property holds for this relation.
Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product.
Calculate the average rate of change of the given function over the general interval. f(x) = 1/x; [6,10]
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it from a length of 10cm to a length of 15cm?
In 35 of their stores they sold on the average 430 suits per year with a population standard deviation of 40. What is the test value for their claim?
Find the probability of making a Type II error.
the demand x for a hand-held electonic organizer is given by p = 5000(1-4/4+e^-0.002x) where p is the price in dollars. Find the demands x for the prices of (a)p=$600 and (b) p = $400
Find and prove a formula for the derivative of the hyperbolic secant function,
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