Let n N, let a R, let s, r R with s < r,
Question:
V = {x ∈ R": s < ||x - a|| < r} and E = {x ∈ R" : s < ||x - a|| < r}.
Prove that V is open and E is closed.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 54% (11 reviews)
Let y V x R n s x a r and let miny a s r y a I...View the full answer
Answered By
Aqib Parvej
I am teaching since my graduation time so I have teaching experience of about 5 years and in these years I learn to teach in the best and interesting way .
4.80+
20+ Reviews
41+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Let n and r be integers with 1 r < n. Show that C(n, r 1) = C(n + 2, r + 1) 2C(n + 1, r + 1) + C(n, r + 1).
-
For n = 1, 2,¦., let the r.v. X n be defined by
-
For n = 1, 2,¦., let the r.v X n be defined by (i) Show that (ii) Determine the condition c and r (> 0 ) must satisfy, so that 2cn with probability 2-" with probability 1 2-n+1 2cn with...
-
You are the VP of Human Resources for a company with 250 employees. You have both outside sales representatives and inside sales representatives that work primarily by phone. James is an outside...
-
Dome Metals has credit sales of $180,000 yearly with credit terms of net 60 days, which is also the average collection period. Dome does not offer a discount for early payment, so its customers take...
-
In Exercises 1 through 20, compute all first-order partial derivatives of the given function. z = xe xy
-
Consider the simulation flowsheets in Figure 7.36, which were prepared for ASPEN PLUS. The feed stream, S1, is specified, as are the parameters for each process unit. Complete the simulation...
-
Fan Base (FB) operates a megastore featuring sports merchandise. It uses an EOQ decision model to make inventory decisions. It is now consider ing inventory decisions for its Los Angeles Galaxy...
-
why stereotypes are problematic? Give examples
-
Yummy-Licious Ice Cream opens its first store in Calgary in November 2021. It sells two types of fresh fruit-based ice cream (regular & special) to Calgarian kids. Below is the list of revenue and...
-
Graph generic open balls in R2 with respect to each of the "non-Euclidean" norms || ||1 and || ||. What shape are they?
-
a) Let a < b and c < d be real numbers. Sketch a graph of the rectangle [a, b] [c, d] := {(x, y) : x [a, b], y [c, d]}, and decide whether this set is connected. Explain your answers, b) Sketch a...
-
A study of a sample of 1057 houses in upstate New York reports the following percentages of houses falling into different Price and Size categories. a) Are these column, row, or total percentages?...
-
What is the difference in the techniques used in the plays of Moliere, Racine, Ibsen(one group) as opposed to the techniques used in the plays of Brecht, Piradello, Beckett (other group) focus on...
-
Assume that Tesla produces and sells 3 5 0 3 5 0 Model X ' ? s in 2 0 2 4 . 2 0 2 4 . Compute the product cost per unit for Model X . . Tesla Data Tesla Motors designs, develops, manufactures, sells...
-
Evaluate the integral. 2 v + 3v5 +3 dv
-
explain the difference between the immanent and economic trinity include example to support your response
-
y = (4x + 10x) what is d ? 12
-
An engineering professor acquires a new computer every 2 years. The professor can choose from three models: M1, M2, and M3. If the present model is M1, the next computer can be M2 with probability...
-
A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible A time. She can walk...
-
A coin is tossed until the first time a head turns up. If this occurs on the nth toss and n is odd you win 2n/n, but if n is even then you lose 2n/n. Then if your expected winnings exist they are...
-
(from Propp18) In the previous problem, let P be the probability that at the present time, each book is in its proper place, i.e., book i is ith from the top. Find a formula for P in terms of the...
-
In a certain manufacturing process, the (Fahrenheit) temperature never varies by more than 2o from 62o. The temperature is, in fact, a random variable F with distribution (a) Find E (F) and V (F)....
-
This project requires an investment in fixed assets, at time 0, of 44,000,000. Assets will be depreciated straight line in 5 years. This project has a 4 year life. The revenues for each of the 4...
-
Lorenzo Company applies overhead to jobs on the basis of direct materials cost. At year - end, the Work in Process Inventory account shows the following. Work in Process Inventory Date Explanation...
-
T-bill with a $10,000 par has 174 days until maturity. The T-bill has a bank discount bid quote of 2.208% and ask quote of 2.198%. What is the return on the investment in this T-bill if the trader...
Study smarter with the SolutionInn App