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Describe how public key cryptography is being applied. Are the ways it is applied secure given the status of factoring algorithms? Will information kept secure using public key cryptography become insecure in the future?
Let g : [a, b] → R be a continuous and monotonically increasing function, and suppose f ∈ R([a, b], g). Suppose f is redefined at a finite number of points in [a, b] and h is the resulting function. Show that h ∈ R([a, b] g) and
Let an = -2an-1 + 15an-2 with initial conditions a1=10 and a2= 70. Write the first 5 terms of the recurrence relation
If 2 pens are drawn at random from the pack, replaced and then another pen is drawn. What is the probability of drawing 2 blue pens and 1 black pen?
The shop sells 1.5 times more Pomona than Coastal each day. Pomona sells for $2.05 per cup, and Coastal sells for $1.85 per cup. The manager wants to know how many cups of each blend to sell each day in order to maximize sales.
What are the units of the following partial derivatives? What are their practical interpretations? What do you expect theirsigns to be?
A survey of 50 students found that on average they drink 2.3 beers a night with a standard deviation of 0.7. Calculate a 99% confidence interval for the population mean.
The Temperature at a point (x y z) on a metal plate is T(x y)=4x^2-4xy+y^2. An ant on the plate walks around the circle g(x y)=x^2+y^2-25. what is the highest temperature encountered by the ant? I need help setting up the problem.
a metal storage tank with volume 1000 ft^3 is to be contructed in the shape of a right cylinder surmounted by a hemisphere. what dimensions will require the least amount of metal?
Find the rate of change of quantity with respect to price, dD/dp. How many units will consumers want to buy when the price is $25 per unit? Find the rate of change at p = 25, and interpret this result.
When a bumper car becomes disabled, what is the probability that it will find that there are at least three cars already waiting to be repaired?
At noon, ship A is 20 miles due west of ship B. Ship A is sailing west at 15 mph and ship B is sailing north at 22 mph. How fast (in mph) is the distance between the ships changing at 5 PM?
A 5×7 photograph has a rectangular cardboard mat frame that is an equal depth on all four sides. If the total area of the mat is 99 in2, what is the depth of the mat?
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