### Math logic and deducation

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

Explore BrainMass

- Anthropology
- Art, Music, and Creative Writing
- Biology
- Business
- Chemistry
- Computer Science
- Drama, Film, and Mass Communication
- Earth Sciences
- Economics
- Education
- Engineering
- English Language and Literature
- Gender Studies
- Health Sciences
- History
- International Development
- Languages
- Law
- Mathematics
- Philosophy
- Physics
- Political Science
- Psychology
- Religious Studies
- Social Work
- Sociology
- Statistics

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

Atttached. 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

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

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.

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

Please see the attached file. Find the Gaussian prime factorizations of....

(Please refer attachment for detailed problem description) Problem 1 : The 40 kg disc is released from rest with the spring compressed. At the instant shown (see attachment) it has a speed of 4 m/s and the spring is unstretched. From this poinr determine the distance d that the disc moves down the 30 degree ramp before moment

Show that: ∑∞k=0 [(-1)^k * (pi)^2k][(2k)! * (2)^2k] = 0 This is the Riemann sum from 0 to infinity (see attached)

Suppose f(x) is differentiable at ALL x in R. Is it possible for lim x->0+ f '(x), and lim x->0- f '(x) to exist and NOT be equal?

1.Simplify the expression 3√ (-1000) 2.Total profit is defined as total revenue minus total cost. R(x) and C(x) are the revenue and cost from the sale of x televisions. If R(x)= 240x - 0.9x^2 and C(x) - 4000 + 0.6x^2, find the profit from the sale of 100 televisions. 3.Simplify the complex fraction X/x+1 9/ x^2

A student thinks of a polynomial p(x) of arbitrary degree, and non-negative integer coefficients. How can you determine the student's polynomial by asking for two values of her polynomial, say p(a) and p(b), where a and b are positive integers? Hint: A positive integer n can be written uniquely in base k, where k is a positive

Any help is greatly appreciated. Please see the attached file. If R is a principal ideal domain....

Any help would be greatly appreciated. Please see the attached file. Thank you! Let R be a ring with identity. Recall that the non-zero R-module M is simple...

Please see attached. Any help is greatly appreciated. Thanks. Let G be a finite group....

Give examples to show that the finiteness of the collections in parts c and d is essential. c) for any finite collection G1, G2, ...., Gn of open sets, intersection (at the top of the intersection sign is n and at the bottom is i=1) of Gi is open. d) For any finite collection F1, F2, ...., Fn of closed sets, union sign (

Ernesto is going to choose 2 flowers. First, he will choose a flower for his mother the second flower he chooses will be for his sister. The florist has two blue flowers, 1 red flower and 1 yellow flower. Please draw a tree diagram to show all of Ernesto's possible choices Can you do this in a computation manner?

Please see the attached file for the fully formatted problems. On Diplomat Row, an area of Washington, DC. there are five houses. Each owner is a different nationality, each has a different pet, each has a favorite food, each has a different drink, and each house is painted a different colour. All Statements: (1) Green H

Please see the attached file for the fully formatted problems. Auto Accessories Unlimited surveyed 155 customers to determine information...

Please see the attached file for the fully formatted problems. TV Guide sent a questionnaire to selected subscribers....

Please see the attached file for the fully formatted problem.

For detailed description with figs. please refer the attachment. Prob. 1 : A box slides down a ramp with two straight segments and on leaving the ramp it slides on a rough horizontal surface and then impacting a spring. To determine kinetic energy, velocity at different points and the compression of the spring. Prob. 2 : A

First West Chemical First West Chemical Company produces two chemical ingredients for pharmaceutical firms; formula X and formula Y. Production of each ingredient requires two processes. A unit of Formula X requires 4 hours in process 1 and 3 hours in process 2. A unit in formula Y requires 2 hours in process 1 an

Problem: If Cleopatra was powerful, then she was venerated, but if she was not powerful, then she was not venerated and she was feared. If Cleopatra was either venerated or feared, then she was a queen. Cleopatra was a leader if she was a queen. Can you prove that Cleopatra was powerful? a leader? a queen? Do not use

13. Determine whether each of the following is a tautology, a contradiction, or neither. * (a) [( P fa] P. (b) Pe=>PA(PvQ). (c) P=.Q.=›PA—Q. * (d) P=IP (P (e) P A (Q v .1=› P (f) IQ A (P P. (g) ( P <=). Q) <=> (—Pv Q)v(—P AQ). (h) [P(Qv R)] [(Q R)v (R (i) P A(P Q) A —Q. (j) (PvQ).Q P. (k) [P (Q A R)] [R = (P Q)].

Please see the attached file for the fully formatted problems. Practice problem 20 List the first 10 terms of each of these sequences. a) The sequence whose nth term is the larges integer k such that k! <= n; b) The sequence whose nth term is 3^n - 2^n; c) The sequence whose nth term is sqrt(n) ; d) The sequence whos

To figure how many 'one-to-one' functions' there are from a set with 3 elements to a set with 4 elements --would be-- 4!/(4-3)! or 24. How do you figure out how many 'onto' functions there are from a set with 4 elements to a set with 3 elements? Please give solution and detailed explanation. Thank you.

Problem: Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?

Decide whether each of the given sets is a group with respect to the indicated operation. 1- For a fixed positive integer n, the set of all complex numbers x such that x^n=1(that is, the set of all nth roots of 1),with operation multiplication. 2-The set of all complex numbers x that have absolute value 1, with operation m

Suppose f(b) = f'(b) = 0 and a < b. Show that if f''(x) ≥ 0 for x Є [a,b], then f(x) ≥ 0 for x Є [a,b].

Given A = {1, 2, 3}, B = {3, 4, 5, 6,}, and C = {3, 5, 7}. Evaluate each set a) A ∩ B b) A ∩ C c) A U C d) B U C e) (A U B) ∩ C f) A U (B U C) g) (A ∩ B) ∩ C h) (A ∩ B) U C Given the diagram below, find a) A U B and b) A ∩ B