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Discrete Math

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...

Finite Problems

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

Probability questions - Please help and show work. Thank you.1. In a small class of 10 students, 3 did not do their ...2. Suppose a card is drawn at random from an ordinary deck ...

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

Binomial Theorem Identity Proof.

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.

Sub algorithms

? 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

Economic analysis

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

Finite Math

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

Prove that every ideal of F[x], where F is any field, is principal

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

Venn diagram

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

Venn diagram

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

DeMorgan Law and converse statements

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

Mathematics - Binomial and Poisson probabilities

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

Tents to Trees

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 Compound Statement

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

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 ...

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

Ellipse proof

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

Finite proof

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

Sturm-Liouville equation

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

Finite Math

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