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# Discrete Math

### 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 (

### Relations Partial Ordering

Qu1) Is it true that ρ(AUB)= ρ(A) U 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 bijection? Q3) a) Let f : R→R

### 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

### Estimating time period - If the speed ( in m/sec ) of a particle moving on the x-axis at time t seconds (t>0) is given by: ...

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

### 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

### Finite Math Problems - Math 212 Finite Mathematics. [See the attached Questions File.]

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.

### Venn Diagram and Region Explanations

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 for College Courses

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 C = t

### 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 &#8805; 7) . d. If n = 12 and p = .45

### Venn Diagram

Solve this problem using a Venn diagram. please submit the diagram Thanks. In a survey of 280 people , a travel company asked people about places they plan to visit in the next five years . The results were as follows: 48 plan to visit Europe 58 plan to visit Latin America 34 plan to visit Asia 14 plan to visi

### Logic Problem: 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 is adjac

### 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

### Sets and Venn diagrams..

Let U = { all soda pops}, Let A ={ all diet soda pops} B={ all cola soda pops}, C= { all soda cola pops in cans}, D = all caffeine -free soda pops}. Describe the sets in words. a.(A intersect B) intersect C' b. (A u D) intersect C' c.(A' intersect B')u C d. (A-D) intersect B e. (B intersect C') u (C intersect B

### Sets and Venn Diagrams: Example Problems

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 ...

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

### Critical thinking logic problem

Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student. - Art, Bev, and Cheryl have not yet completed . - Bev is one year ahead of Ed - Ed is not a freshman - Art is in a hi

### 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

### Word Problems - 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. ...

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

### Sturm-Liouville Proof Equation

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

### Mathematical Logic of Affirmative Policies

Translate the following argument in symbolic form and determine whether it's logically correct by constructing a truth table. If affirmative action policies are adopted, then minorities will be hired. If minorities get hired, then discrimination will be addressed. Therefore, if affirmative action policies are adopted, then d

### 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

### Math Logic and Deducation

Questions about the standard natural deduction system. See attachment for full questions.

### Big-O Big-Theta

Given the algorithm below, suppose the number of times the "beep" instruction is executed is f(n). Choose all true statements below, and no false ones... for i := 1 to n for j : = 1 to i for k := 1 to 18 BEEP next k next j next i a. f(n) is big-Theta (n^2) b. f(

### Game Theory: Perspective and Transformational Matrices

See attached. 1. in the diagram below, an arrow object is located at point C; P is an arbitrary point in space. a) How would you generate a transformation matrix that would point the arrow object at point P? The arrow object is defined in a Left Handed System with the following

### Word Problemson basic statistics and finite math

1. A large aquarium at an exhibit is 20 ft long, 10 ft wide, and 6 ft high. What is its volume of the aquarium? 2. Evaluate the following : 33 lb/ft x 6.5 ft 3. One side of an equilateral triangle is 5/8 in. What is the perimeter of the triangle? 4. What is the perimeter of a semi-circle (half of a circle) wit

See attached

### A Family of Sets and the Empty Set

Let A be a family of sets, and suppose the empty set is an element of A. Prove that a = the empty set if a is an element of the family of A. See the attached file.

### Logic - Truth Tables, DeMorgan's Laws.

1) Construct a truth table and determine the truth value of the statement ~ q = { ~r ^ ( p v q) }, when p is false, q is true and r is true. 2) Use De Morgan's Laws to determine whether the two statements are equivalent. ~( p ^ q), ~(q v ~p) 3) Determine which, if any of the three statements are equivalent.

### Geometric Proof Signed Area

Please see the attached file. Please kindly show each step of your solution. Thank you. Give a geometric proof that D(x,y+cx)=D(x,y) for any scalar c