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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.
how to present root numbers on a number line
1 1/3:2/3:1/6
Smooth Curve - Three Dimensional Space A smooth curve is a curve for which → r' (t) is continuous and → r' (t) ≠ 0 for any t except probably at the endpoints. A helix is a s
A bank pays on its savings an interest rate of 6% per year but compounds interest monthly (i.e., estimates the interest each month and adds it to the balance). You plan to deposit
log x dx
Q. Describe Standard Normal Distribution? Ans. The Standard Normal Distribution has a mean of 0 and a standard deviation of 1. The letter Z is often used to refer to a sta
IN THIS WE HAVE TO ADD THE PROBABILITY of 3 and 5 occuring separtely and subtract prob. of 3 and 5 occuring together therefore p=(166+100-33)/500=233/500=0.466
Marci filled her car's gas tank on Monday, and the odometer read 32,461.3 miles. On Friday while the car's odometer read 32,659.7 miles and she filled the car's tank again. It will
Consider the clique graph below. a) How many subgraphs of G with 3 nodes are there? b) How many of the subgraphs defined in part(a) are induced subgraphs?
verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2
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