### Linear functionals /not continuous

On the attachment there is a mistake. it should be not continuous instead of not bounded. Thanks! Prove that there exists a linear functional f:C([0,1])-->that is not continuous...

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On the attachment there is a mistake. it should be not continuous instead of not bounded. Thanks! Prove that there exists a linear functional f:C([0,1])-->that is not continuous...

Please see the attached file for the fully formatted problem(s). Note the similarities in the following parallel treatments of a frequency distribution and a probability distribution. Frequency Distribution Complete the table below for the following data. (Recall that x is the midpoint for the interval.) 14,7,1,11,

Please answer all the questions and give a detailed explanation for each. (see attached) 1. Use the echelon method to solve the system 2. Use the Gauss-Jordan method to solve the system of equations 3. A cable TV company charges $23 for the basic service plus $5 for each movie channel. Let C(x) be the total cost in

Hello. My question is as follows: Suppose that you are given a simple chain of length N beads, and in this chain you tie one knot in the centre. You perform an experiment 25 times in which each time you place the chain on a vibrating plate and measure how long it takes to unknot and you make a list of the uknotting times as

Please help and show work. Provide step by step calculations for each. Thank you. 1. In a small class of 10 students, 3 did not do their homework. The professor selects half of the class to present solutions to homework problems on the board, and records how many of those selected did not do their homework. (a) give a probabi

A bank has set aside a maximum of $25 million for commercial and home loans. Every million dollars in commercial loans requires 2 lengthy application forms, while every million dollars in home loans requires 3 lengthy application forms. The bank cannot process more than 72 application forms at this time. The bank's policy is to

Find the discriminant and determine the number of real solutions x2 - 3 = 7 which is squared minus 3x = 7 change to x2 -3x -7 = 0 (x - 3)(x + ) Once this is complete what determines real solution

N + n + n + ..... = n + n + n + .... 0 2 4 1 3 5 (imagine the vertical sets of numbers are surrounded by a large parenthesis, as it is in a binomial expression) My problem: Prove the above expression for n = 2k. Thank you.

Maximize if possible quantity z = 5x + 7y subject to the given constraints. x + y > or = 2 2x + 3y < or = 6 x > or = 0 y > or = to 0 Thank you

? Write a sub-algorithm (subroutine) that given a number N in base 10 and a base value Base between 2 and 10 (inclusive), returns the representation of the decimal value N in the desired Base. For example, given N = 25, and Base = 2, it should return 11001. Algorithm: Base_10_to_Any_Base 1.0 Given: 1.1 an inte

Construct Venn diagrams to determine the validity of the given argument. 1) real men don't eat quiche Oscar Meyer eats quichr. Therefore, Oscar Meyer isn't a real man. 2.) All truck drivers are union members. Rocky is not a truck driver. Therefore, Rocky is not a union member. Wrtie a sentence that repersents negati

See attached Ken Chang, a production analyst for SharpEase Company, has prepared the following information for the production of a new electric pencil sharpener. Prepare an assembly chart for the product. Component List for Model D-41 Sharpener Component Description Component Code Predecessor Component Code (

Qu1) Is it true that ρ(A∪B)= ρ(A) ∪ ρ(B)? justify your answer. Qu2) Consider the function f:A→A defined by f(x)=x+1 and justify your answers. a) For A=Ν (integers) is f onto? b) For A=R(real number) is f injective? c) For A=Q (rationals) is f onto? d) For A=Z(all integers) is f a bije

Show all work and any explanations so that I will understand how to work the problems. See attached... Math 212 Finite Mathematics Show all work and any explanations: 1) An unprepared student takes a three-question, true/false quiz in which he guesses the answers to all three questions, so each answer is equal

If the speed ( in m/sec ) of a particle moving on the x-axis at time t seconds (t>0) is given by: V(t)=t^3-8t^2+15t+10 estimate during what time period the speed of the particle is less than 10m/sec. a t=2/t=4seconds b t=4/t=6 seconds c t=4/t=5 seonds d t=3/t=5seconds

An ideal I of a commutative ring R is said to be principal if it is generated by a single element, that is, if I is of the form {ra|r element of R} for some fixed a element of R. Notice that Corollary 6.6 (below) shows that ideals of F[x] of the form I_F,a are principal. Now prove that every ideal of F[x], where F is any fi

Math 212 Finite Mathematics 1. (4) Construct the augmented matrix for the following system of three equations in three unknowns. Do not solve the system. 2x - y + z = 10 4x + 2y - 3z = 10 x - 3y + 2z = 8 2. (4) Use the Gauss-Jordan method to solve the following system of equations.

Here is the information. There are A, B and C circles . Going from left to right , Cicle A , then B and C at the bottom. They all are intersecting . Roman numeral I is in circle A , Roman Numeral III is in circle B, and Roman numeral VII is in circle c. Roman numeral IV, V, VI are also a part of C, B, AND A. Roman numeral I

Please use a truth table for this one q arrow to p p arrow to r ________________ . . . r arrow to q Use a Venn diagram for this one. A survey of 118 college students was due to find out what electives courses they were taking . Let A= set of those taking art, B = set of those taking basketweaving , and

Write the negation of the conditional statement. 1. If I am in Seoul, then I am in Korea. 2. Write the nonequivalent converse and inverse of the statement. If you are getting a haircut , then you are not studying 3. Use the De Morgan law that states : ~( p ^ q) is equivalent to ~p v ~q 4. to write an eq

Objective: Calculate binomial and Poisson probabilities. 1) Chapter 5: Problem 5.5 (binomial) Solve the following problems by using the binomial formula. a. If n = 4 and p = .10 , find P(x = 3) . b. If n = 7 and p = .80 , find P(x = 4) . c. If n = 10 and p = .60 , find P(x ≥ 7) . d. If n = 12 and p = .45

Please see the attached file. --- The grid below represents a campground where a number of people are camping. Every tree has exactly one tent tied to it in a horizontally or vertically adjacent cell. The numbers along the edges of the grid indicate the number of tents located in that row or column. In addition, no tent i

Convert the symbolic compound statement into words. 1. p represents the statement "Her name is Lisa." q represents the statement "She lives in Chicago." Translate the following compound statement into words: ~p 2. p represents the statement" Her name is Lisa" q represents the statement " She lives in Chicag

For the given set , construct a Venn diagram and place the proper element in the proper region 1. U ={a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p} A={a, e, i, o,} B={b, c, d, f, g, h, j, k, l, m} C= {a,b, c, d, e, f,g} 2. Please answer all question in words. Let U = { all soda pops}, A= { all diet soda

1. Mrs Bollo's second grade class of thirty student conducted a pet ownership survey . Results of the survey indicate that eight students own a cat, 15 students own a dog, and 5 students own both a cat and a dog, How many of the students surveyed own only a cat? 2. Please use a venn diagram to answer the questions? At east

See attached The point P(acosO, bcosO), lies on the ellipse.....

Let R ba a partial order on S, and suppose that x is a unique minimal element in S. a) prove that S is finite, then xRy for all s in S b) show that the conclusion in (a) need not be true if S is infinite

This problem is to be considered as a tree diagram. Directions: Consider below the branching tree diagram based on the number per 3000 American adults. 1500 Americans who 635 Democrats 293 mens like classical music 342 women per 3000 adults

Could you please do the problem attached? Thank you. The equation...is a Sturm-Liouville equation in which the operator L...

Attached is a study guide for my final exam in Finite Math. I need help with these questions. Thanks, Perform the indicated operations. Give the answer in lowest terms. 1) x/x^2 -16 - 6/x^2+5x+4 A )x^2-5x+24/(x-4)(x+4) B) x^2-5x+24/(x-4)(x+4)(x+1) C) x^2+5x+24/(x-4)(x+4)(x+1) D) x^2-5/(x-4)(x+4)(x+1) Perfor