Suppose that f is continuous on [a, b] and that F(x) :=sup f ([a,x]). Prove that F
Question:
F(x) :=sup f ([a,x]).
Prove that F is continuous on [a, b].
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (18 reviews)
By the Monotone Property for Suprema F is increasing on a b Hence by Theor...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Suppose that f is continuous on [0, 4], f (0) = 1, and 2 < f(x) < 5 for all x in (0, 4). Show that 9 < f (4) < 21.
-
Suppose that f is continuous on [a, b]. Prove that given > 0 there exist points x0 = a < x1 < < xn = b such that if Ek: = {y : f(x) = y for some x [xk-1, xk]}, then sup Ek - inf k < for k =...
-
Suppose that E Rn and that f: E Rm. a) Prove that f is continuous on E if and only if f-1(B) is relatively closed in E for every closed subset B of Rm. b) Suppose that f is continuous on E. Prove...
-
Identify the five number summary for the following data set: 35 24 54 2 36 23 16 43 59 55 28 81
-
By using long-term financing to finance part of temporary current assets, a firm may have less risk but lower returns than a firm with a normal financing plan. Explain the significance of this...
-
Harrison Western Canadian Inc. leased several trailers from Wells Fargo Equipment Finance Company. These leases were registered as secured transactions under the Alberta Personal Property Security...
-
Banks offer many savings options to teenagers. A teen can open a savings/passbook account or a CD (certificate of deposit).
-
After the accounts are closed on July 3, 2012, prior to liquidating the partnership, the capital accounts of Rebecca Adams, Austin Cooper, and Ricardo Ruiz are $22,400, $5,300, and $31,900,...
-
??????? On December 31,2020 , Berclair Inc. had 400 million shares of common stock and 5 million shares of \( 9 \% \), \$100 par value cumulative preferred stock issued and outstanding. On March 1,...
-
Hanigan Manufacturing (a fictional company) had 1,800,000 shares of common stock outstanding as of January 1, 20X1, and 900,000 shares of 10% noncumulative (nonconvertible) preferred stock...
-
Suppose that f is differentiable on (a, b), continuous on [a, b], and that f(a) = f(b) = 0. Prove that if f(c) 0 for some c (a, b), then there exist x1, x2 (a, b) such that f'(x1) is positive and...
-
Suppose that f is twice differentiable on (a, b) and that there are points x1 < x2 < x3 in (a, b) such that f(x1) > f(x2) and f(x3) > f(x2). Prove that there is a point c (a, b) such that f(c) > 0.
-
One mole of a stream containing pentane, acetone, methanol, and water in proportions z = 0.75, 0.13, 0.11, 0.01, respectively, is to be mixed and decanted with 1 mol of pure water at 25C. Estimate...
-
For the partially complete factorization, find the other binomial which will complete the factorization. b2-7b-30 = (b+3)(_ Answer How to enter your answer (opens in new window)
-
Given the function value of the acute angle, find the other five trigonometric function values. COS = 6 6
-
How is this done in excel and also on a financial calculator? Microsoft has an expected return of 12% and a standard deviation of 18%. Apple has an expected return of 8% and a standard deviation of...
-
Evaluate L (5x + 3x4/) dx =
-
For a certain function f, it is known that f(x) dx == -0.1, 3 [ f(x) dr = 1.2 and f(x) dx=-6.6. What is L f(x) dx?
-
The normal line to the curve y = f(x) at the point P with coordinates (x 0 , f(x 0 )) is the line perpendicular to the tangent line at P. In Exercises 32 through 35, find an equation for the normal...
-
Write the statement to store the contents of the txtAge control in an Integer variable named intAge.
-
Show that if f, g: A R are integrable, so is f g.
-
Show that if C has content 0, then C C A for some closed rectangle A and C is Jordan-measurable and AXC = 0.
-
Give an example of a bounded set C of measure 0 such that AXC does not exist.
-
Ruiz Company provides the following budgeted sales for the next four months. The company wants to end each month with ending finished goods inventory equal to 40% of next month??s budgeted unit sales...
-
Question 1 of 1 8.67/100 Lars Linken opened Monty Cleaners on March 1, 2020. During March, the following transactions were completed. Mar Owner invested $13,800 cash in the company. 1 1 Borrowed...
-
I needhelp please!! I dont know where I went wrong General information The I See The Light Company has a related company that produces the figurines. They use process costing in the molding...
Study smarter with the SolutionInn App