a) Prove that for every > 0 there is a sequence of open intervals {Ik}kN which
Question:
b) Prove that if {Ik}kˆˆN is a sequence of open intervals which covers [0, 1], then there is an N ˆˆ N such that
Transcribed Image Text:
k=1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
a Since 0 1 Q is countable it can be covered ...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
(a) Prove that for any 2 Ã 2 matrix T there are scalars c0, . . . , c4 that are not all 0 such that the combination c4T4 + c3T3 + c2T2 + c1T + c0I is the zero matrix (where I is the 2 Ã...
-
Let I := (a, b) and let f : I R be differentiable at c I. Show that for every ε > 0 there exists δ > 0 such that if 0 f(x) f(y) - f'(c) < e.
-
Show that f : [a, b] R is Riemann integrable on [a, b] if and only if there exists L R such that for every > 0 there exists > 0 such that if is any tagged partition with norm
-
A process has an in-control fraction nonconforming of p = 0.01. The sample size is n = 300. What is the probability of detecting a shift to an out-of-control fraction nonconforming of p = 0.05 on the...
-
Low Carb Diet Supplement Inc. has two divisions. Division A has a profit of $156,000 on sales of $2,010,000. Division B is only able to make $28,800 on sales of $329,000. Based on the profit margins...
-
A box has the shape of the solid bounded above by the plane 3x + 4y + 2z = 12 below by the xy plane, and on the sides by the planes x = 0 and y = 0, where x, y, and z are in inches. Find the volume...
-
MINITAB determination of confidence interval for \(p\) When the sample size is not large, the confidence interval for a proportion \(p\) can be obtained using the following commands. We illustrate...
-
The following issues are related to the accuracy and reliability of financial plans. Explain the process/issues related to each. Top-down versus bottom-up planning Plans as statements of goals...
-
Now that we're talking about Operant Conditioning, learner's choice, where they emit a behavior (response) first, in order to get/avoid a stimulus (reinforcement/punishment), let's take it slow and...
-
Refer to the demand for cell phones regression given in Eq. (3.7.3). Eq (3.7.3) a. Is the estimated intercept coefficient significant at the 5 percent level of significance? What is the null...
-
Using Theorem 7.10 or Theorem 9.30, prove that each of the following limits exists. Find a value for the limit in each case. a) b) where f is continuously differentiable on [0, 1] and f'(0) > 0. c)...
-
Let E1 be the unit interval [0, 1] with its middle third (1/3, 2/3) removed (i.e., E1 = [0, l/3]U[2/3, 1]). Let E2 be E1 with its middle thirds removed; that is, E2 = [0, 1/9] U [2/9, 1/31 U [2/3,...
-
Describe one similarity and one difference between the graphs of + || = 1 and + = || 1.
-
How is the global expansion of social media likely to affect how people pursue social change? explain
-
Identify 4 social and culture issues indigenous australians face?
-
Briefly, what is the difference between micro and macro level theory/analysis?
-
how would max weber explain the role of culture in society
-
What are the similarities and differences between Deep Diversity and Interculturality? explain
-
In Exercises evaluate the definite integral. Use a graphing utility to verify your result. L -2 xex/2 dx
-
10m solution. If Ka(HA) = 10 then pOH of solution will be [Given : log4=0.6] (A) 6.7 (B) Greater than 6.7 & less than 7.0 (C) Greater 7.0 & less than 7.3 (D) Greater than 7.3
-
Show that if X is a random variable with mean and variance 2, and if X* = (X )/ is the standardized version of X, then
-
Let Z1, Z2, . . . , ZN describe a branching process in which each parent has j offspring with probability pj . Find the probability d that the process eventually dies out if (a) p0 = 1/2, p1 = 1/4,...
-
We have seen that if the generating function for the offspring of a single parent is f(z), then the generating function for the number of offspring after two generations is given by h(z) = f(f(z))....
-
Prepare the journal entry to record pension expense and the employer ? s contribution to the pension plan in 2 0 2 0 . ( Credit account titles are automatically indented when amount is entered. Do...
-
Concord Department Store uses a perpetual inventory system. Data for product E2-D2 include the following purchases. Date Number of Units Unit Cost May 7 July 28 45 30 $13 15 On June 1, Concord sold...
-
The accounts of Grand Pool Service, Inc., follow with their normal balances at April 30, 2021. The accounts are listed in no particular order. (Click the icon to view the accounts.) Read the...
Study smarter with the SolutionInn App