Business
Engineering
Math
Science
Social Science36. Assume that f: A→B and that R is an equivalence relation on B.Define Q to be the setShow that Q is an equivalence relation on A.
Subject: Set Theory
Image Transcriptionclose
36. Assume that f: A→B and that R is an equivalence relation on B. Define Q to be the set Show that Q is an equivalence relation on A.
Expert Answer
Math
Advanced Math
Related Advanced Math Q&A
Q: Recall that for a set S, P(S) is its power set. Given two sets S and T, prove that S C T if and only...
A: Let S and T be two sets and P(S), P(T) are its power sets.Power set of a set is defined as the colle...
Q: Abstract Algebra Proofs: Looking for assistance on this problem, please.
A: Let G be an abelian group, and H be a subgroup of G.To prove: H is a normal subgroup.Proof: We have ...
Q: Solve the differential equation using either the method of undetermined coefficients or Laplace tran...
A: The differential equation is y′″ -6y″+11y′-6y = 3x.
Q: I am having a difficult time understanding if statements are valid or invalid using Euler diagrams w...
A: To check whether the last statement is true assuming that the first two are true.
Q: Number 17.
A: Find the total length of the four cut pieces. Find the total amount of kerf taken with four cuts. Le...
Q: This exercise considers a crystal whose unit cell has base vectors that are not necessarily mutually...
A: To discuss the properties of the reciprocal basis to the given basis of vectors
Q: Let F be a nontrivial on X. Prove that the follow- ing statements are equivalent1. F is an ultrafilt...
A: Let F be a non trivial on X.To prove that the statements are equivalent:
Q: Use Simpson's rule to approximate the following integral and compare your 1. result to the exact val...
A: The integral is given as
Q: emily kailyn received an inheritance of $208,000.00 from her grandfather and invested part at 10% in...
A: Follow below steps to obtain the answer: -As we know that formula for calculating simple interest is...
Q: Let z be a complex variable, z=x+iy Deacribe graphically the region represented be the following: |z...
A: In terms of simplifying everything, let z=x+iy∈Sz=x+iy∈S, for some x,y∈Rx,y∈R. First we plug z=x+iyz...
Q: I only need the explanation of number 8. I do not know how to do it. Thanks
A: As per norms, the subparts for question 8 are answered.To analyze the given relation f.
Q: Hello, I need help with Part A please!
A: Given:The graph of y = h(x) .To sketch the graph of y = 2h(x-1) from the given graph.
Q: MECHANICAL VIBRATIONS PROBLEM (Differential Equations): A force of 400 Newtons stretches a spring 2 ...
A: Let x(t) be the position function and v(t) be the velocity function.Given that, the initial displace...
Q: Find the particular solutions to the given differential equations: y(3)+3y"-4y'-12y=0, y(0)=1, y'(0...
A: The initial value problem is,
Q: Find the point of intersection of the given pair of straight lines x - 4y = -2 x + 2y =4
A: Simplify the equation x-4y=-2 as follows.
Q: At age 22, someone sets up an IRA (individual retirement account) with an APR of 8%. At the end ...
A: Formula used:Future value of an ordinary Annuity:
Q: Question attached in photo
A: To verify the given equality regarding the limit of f(z) (z a complex variable)
Q: Show that if E is an algebraic extension of a field F and contains all zeros in \bar{F} of every f ...
A: To show:
Q: Verify that the Cauchy-Riemann equations are satisfied for the following functions. Where z is a com...
A: To verify the Cauchy -Riemann equations for the given analytic functions f(z)
Q: 14. A stair stringer is to be cut to reach a 2nd story floor in a house with nine foot ceilings. The...
A: The total rise is 106 inches.Let x be the number of rises and y be the actual rise height.Since all ...
Q: Prove that the interval (0,1) ⊆ R is equinumerous with the interval (3,7), where R is the set of rea...
A: To establish a one to one , onto (bijective map) between the open intervals (0,1) and (3,7)
Q: For problems 1 through 11, use the following sets. The set U is the universal set. 0- -32, - 8, -2, ...
A: As per norms , the first three questions are answered. Basic problems in set theory.
Q: Find the Fourier transform specified in part (a) and then use it to answer part (b). (a) Find the Fo...
A: (a)Consider the provided function.
Q: a fair die is rolled four times. what is the probability of obtaining a 5, 3, 5, and 5, in that orde...
A: A fair die being rolled four times is equivalent to four independent dice being rolled simultaneousl...
Q: For an initial investment of 100, an investment yields returns of Xi at the end of period i for i=1...
A: Given that, the initial investment is 100 and the investment yield is X1 and X2 at the end of period...
Q: Suppose that f : R → R is differentiable and define g(x) = x^3 f(x^3). Show that g is differentiable...
A: Given:The function f : R → R is differentiable.The function g(x) = x3 f(x3).
Q: Suppose a 12- ounce coffee at starbucks cost 1.46 in 2005. in 2010 that same cup of coffee cost 1.94...
A: In 12-ounce coffee at star bucks cost of 1.46Now in 2010 the relative increase in the price of cup o...
Q: Use the graph of f and g to find the following: f(-2)+g(-1) f(g(-3)) f(2)+g(0) g(f(0))
A: Find the values of f(-2)+g(-1), f(g(-3)), f(2)+g(0), and g(f(0)).
Q: pls explain to me step by step and dont skip any steps. Thanks
A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want an...
Q: Use five iterations, y6, of Euler's method to obtain an approximation of the indicated value with h=...
A: Consider the provided intitial value problem.
Q: Q1- Show that G is transitive on X if and only if for Every x∈X wr have G ·x =X Q2- Given n>1 i...
A: As per rules, (only) the first three questions are answered.
Q: Advanced Math Question
A: To construct a Truth Table for the given statement , first find the conjunction of p and q then ...
Q: Abstract Algebra. Answer in detail please.
A: There are two aspects of the problem: first to show that any quadratic extension of R is isomorphic ...
Q: Abstract Algebra
A: To show that the degree of the minimal polynomial of any complex number over R is of degree at most...
Q: 3. Show that closed subspace of a complete metric space is complete. 4. Let f be a continuous mappin...
A: As per norms, the first question is answered: To prove that a closed subspace Y of a complete metric...
Q: Use the method of separable equations to solve the following initial value problems. dx/dt= xsin(t)...
A: It is given that dx/dt=xsin(t) with initial condition x(0) =1 and xy′=y2 with initial condition y(1)...
Q: Z is a complex variable z=x+iy question attached as photo
A: To show the analyticity of the given functions by checking Cauchy-Riemann conditions
Q: Abtract Algebra
A: to explain the proof of the statement: "Every prime ideal in R is principal implies every ideal in R...
Q: Mechanical Vibrations (differential equations) A mass weighing 4 pounds is attached to a sping whose...
A: Let m be the mass attached, k be the spring constant and let b be a positive damping constant.Then, ...
Q: Solve the differential equation using either the method of undetermined coefficients or Laplace tran...
A: The given equation is y″′+y″+y′+y=e^(-t)+4t.
Q: Prove that Z12] is a Euclidean domain
A: For finding the euclidean domain, we can find the condition of norm of N.
Q: Solve the linear system by the Gauss Jordan Elimination Method: 4x - 4y + 4z = -8 x - 2y - 2z = -1 2...
A: To bring (reduce) the given system of equations to triangular form and then to diagonal form and th...
Q: the book is "First Course on Fuzzy Theory and Applications"
A: To calculate the fuzzy definite integral with the given data
Q: please explain a and b to me step by step and dont skip any steps. pls write clearly and i will rat...
A: (a)Consider the given matrix:
Q: pls explain to me step by step. pls write clearly and dont skip any steps. i will rate your answer i...
A: To analyze the nature of stability at the critical points of the given non-linear system
Q: 3.2 Derive Laplace transforms of the input signals shown in Figs. E3.2 and E3.3 by summing component...
A: To calculate the Laplace transforms of the given functions as described by the graphs
Q: 1 - One engineer is studying a specific mathematical modeling for one of his projects with the follo...
A: To solve the given linear system of differential equations in two unknowns x(t) and y(t) as function...
Q: Using the existence and uniqueness theorem for second order linear ordinary differential equations, ...
A: The given initial value problem is:
Q: z is a complex variable z=x+iy pic attached with question Evaluate using L’Hospital’s rule
A: To calculate the limit of the given indeterminate form using L'Hosptial rule
Q: 5.2.6 Discrete Mathematics A) determine which amounts of postage can be formed using just 3 ...
A: B)Known fact:Base step: Show it is true for first case, usually n =1.Induction step: Show that if n ...
