Question

In: Advanced Math

let x:=7 show that x is the least upper bound of [3,7] show that x is...

let x:=7
show that x is the least upper bound of [3,7]

show that x is the least upper bound of (3,7)

Solutions

Expert Solution


Related Solutions

Recall the following theorem, phrased in terms of least upper bounds. Theorem (The Least Upper Bound...
Recall the following theorem, phrased in terms of least upper bounds. Theorem (The Least Upper Bound Property of R). Every nonempty subset of R that has an upper bound has a least upper bound. A consequence of the Least Upper Bound Property of R is the Archimedean Property. Theorem (Archimedean Property of R). For any x; y 2 R, if x > 0, then there exists n 2 N so that nx > y. Prove the following statements by using...
Prove that the rational numbers do not satisfy the least upper bound axiom. In particular, if...
Prove that the rational numbers do not satisfy the least upper bound axiom. In particular, if a subset (S) of the rational numbers is bounded above and M is the set of all rational upper bounds of S, then M may not have a least element.
Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to...
Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to approximate the answer with n=4 Formula:f(x)=1/3[f(x0)+4f(x1)+2f(x2)+...+f(xn)]Δx(keep answer to 6 decimals) b)how large is n in order for the error of Simpsons rule for the given integral is no more than 0.000001 Formula: |Es|=(k)(b-a)^5/(180 n^4), where |f^4(x)≤k| please show all work and steps
Write matlab program to compute ∫f(x)dx lower bound a upper bound b using simpson method and...
Write matlab program to compute ∫f(x)dx lower bound a upper bound b using simpson method and n points. Then, by recomputing with n/2 points and using richardson method, display the exact error and approximate error. (Test with a=0 b=pi f(x)=sin(x))
Let n1equals100​, Upper X 1equals50​, n2equals100​, and Upper X 2equals30. Complete parts​ (a) and​ (b) below....
Let n1equals100​, Upper X 1equals50​, n2equals100​, and Upper X 2equals30. Complete parts​ (a) and​ (b) below. a. At the 0.01 level of​ significance, is there evidence of a significant difference between the two population​ proportions? a) Calculate the test​ statistic, Upper Z Subscript STAT​, based on the difference p1minusp2. The test​ statistic, Upper Z Subscript STAT. b) While either a standardized normal distribution table or technology may be used to calculate the​ p-value, for this​ exercise, use technology. Identify the...
In computer science, when is the right time to find the Upper bound, Lower bound, and...
In computer science, when is the right time to find the Upper bound, Lower bound, and Tight bound? And what does Tight Bound show us?
Write a function divisibleBy3 with 2 positive integer inputs, a lower bound and an upper bound....
Write a function divisibleBy3 with 2 positive integer inputs, a lower bound and an upper bound. Generate a list of integers from the lower bound to the upper bound and determine how many numbers in the list have a remainder equal to zero when dividing by 3. Hint: Use a loop and the MATLAB built-in function rem to calculate the remainder after division. The remainder of N divided by P is rem(N,P).
Refer to f(x)=1/x^2 1)Give an upper bound for the error you get when using the fourth...
Refer to f(x)=1/x^2 1)Give an upper bound for the error you get when using the fourth degree Taylor polynomial centered at c = 2 to approximate f(2.1) 2)What is the actual error of your approximation? (Use a calculator.)
Write a program in JAVA that prompts the user for a lower bound and an upper...
Write a program in JAVA that prompts the user for a lower bound and an upper bound. Use a loop to output all of the even integers within the range inputted by the user on a single line.
Let h( x) = ( x − 5)( x − 6)( x − 7) a. Explain...
Let h( x) = ( x − 5)( x − 6)( x − 7) a. Explain why Rolle’s Theorem can be applied on the interval [-5,7]. b. Find all values of c in the open interval (5,7) such that f'(c)=0.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT