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1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 and S={x in R^3:(x1)^2+(x2)^2+(x3)^2<(r)^2} show that diam S=2r.4.let x=(x1,...xn) in Rn.show that (? k=1,n xk)^2<=n|x|^2.
a computerized payroll package and its cost,futures and the size of the business and how business mathematics is an inbuilt component of the package
determine the equation that represent the following lines be sure to define your variable and show all of your work
briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived
a painting is 20 cm wider than its height. its area is 2400 centimeter squared. find its lenght and width
altitude 35000 @ 9:30 9;42 alt 17500 increase speed by factor of 3 level out at 2500= how much time will it take
a die was rooled 500 times and number of times 4 came up was noted if the imperical probability calculated from this information 7_10
Limits The concept of a limit is fundamental in calculus. Often, we are interested to know the behavior of f(x) as the independent variable x approaches some
Cartesian product - situations in which the total number of ordered pairs (or triples, or ...) are do be found. (e.g., if Hari makes 'dosas' of 3 different sizes, with 4 different
Example of quotient rule : Let's now see example on quotient rule. In this, unlike the product rule examples, some of these functions will require the quotient rule to get the de
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