PROBLEM1 Instruction: Prove that the relation is  an equivalence relation.  For x, y ∈ R say x is congruent to y modulo Z if x−y is an integer, that is x − y ∈ Z.

Q: 4. Let A = {1,2,3} and B ={6,8,10} and define a relation R from A to B as follows: For all (x,y) € A...

A: Given that A=1,2,3 and B=6,8,10 and a relation R from A to B is defined as     for all x,y∈A×B, x,y∈...

Q: 3. (15 pants) Evaluate the line integral Y ds where C is part of the parabola y = x² from (0,0) to (...

A:

Q: In problems 9 – 14, find the inverse of each matrix or show that it is singular Question 9) Question...

A:

Q: Suppase that the cubic function f(x) = x² + ax² + bx +c has a relative maximum at x = a and a relati...

A:

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end ...

A: Please find attachment for the details solution

Q: Fn+1 Fr-1 Show that A"; 3. Let Fn denote the nth Fibonacci number. Let A = (Hint: use induction).

A:

Q: Find the absolute value of the following. 1+2i 2-i

A: We have to find the absolute value of 1+2i2-i.

Q: In problems 15, 16, 17, use matrix inverse to find the unique solution to the system of equations. Q...

A:

Q: Suppose now we allow negative edge weights. Then we can get a graph of score (2,0,0), which is of co...

A: Given that, we allow negative edge weights. Then we can get a graph of score (2,0,0), which is of co...

Q: find the derivative of - (z+j)?

A:

Q: Velocity vector. そ+ rwés accele rution vochr = F-rue, - arwêg but their is no radial component . ギーイ...

A:

Q: What are the 8-bit two's complements for (121) and (-94)? 121 -94 > When the 8-bit two's complements...

A: Please find attachment for the details solution

Q: Question 5: Consider the following narration: If gender equality is to be achieved then patriarchy m...

A:

Q: L{2 sin(t) cos(t)} +4 2. 2+1

A:

Q: 3.21 Pointwise maximum and supremum. Show that the following functions f: R" → R are convex. (a) f(x...

A: The answer is given below please do upvote if you like it thank you

Q: det(cA) = c det(A) Insert a number to sho

A: Given that  A is an n×n matrix and c is a scalar. Check whether detcA=cdetA is true or false.      

Q: L{ett sinh? (2t)} 8(3s2+6s–16) (s+1)°(s²+2s–15) 8(3s2 +6s-13) (s+1)°(s² +2s–15) 3s2 +6s 16 (s+1)(s² ...

A: To find Le-t t sinh2(2t) 

Q: 1. Find the domain of the vector function. (Enter your answer using interval notation.) r(t) = 16-t2...

A:

Q: L{e _at sinh(-at)} s2+2as - (s-a)" (s+a)?

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 22 – 4z – 3zi – 12 – 6i Evaluate lim 2-61 3i 22 – 6z – 3zi and write it in the standard a + ilform. ...

A:

Q: 1. Prove that the properties of determinants are true by solving the following: [3 1 -5 o -5 [-1 -4 ...

A:

Q: Task 13 Let (M, d) be a compact metric space. Show that closed subsets of M are compact.

A:

Q: 3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or qu...

A:

Q: 1. Each gallon of milk, kilogram of cheese, and pound of apples provides a known number of milligram...

A:

Q: Instruction: Prove that the relation is not an equivalence relation.  For natural numbers m and n w...

A:

Q: 1. Let A be the n x n Hilbert matrix with entries 1 %3D i+j Hilbert matrices are symmetric Hankel ma...

A:

Q: sed on the table of values, enter what you believe lim (x,y)→(0,0) f(x, y) tc ou believe the limit d...

A: In this question, the concept of Limit is applied. Limit The limit formula is employed to calculate ...

Q: $5,000 a year for 5 yea $2,500 each year for 10 $14,000 each quarter fo b. C. d.

A: Solution :-

Q: Find a point zo where the function f (2) = (z – 5 – 3i) (z – 5 – 3i) is differentiable. What is the ...

A:

Q: eive bonuses if they exceed theier monthly quotas for unit sales.  Over a particular six-month perio...

A: Given, A group of sales reps receives bonuses if they exceed their monthly quotas for unit sales.  O...

Q: 3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or qu...

A:

Q: Rewrite the set E by listing its elements. Make sure to use the appropriate set notation. E={x | x i...

A:

Q: Let 4 1 -2 2 1 A = 1 -2 0 3 -2 2 1 -2 -1, Use Householder method to transform A into a tridiagonal m...

A:

Q: (x²- 3bxy+ zb?y²)(xdx +ydy) = xdy-ydx %3D 4. dy -y In(yecos *)dx = y sn x dx

A: According to Bartleby guidelines we need to solve the first question  

Q: If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is -...

A:

Q: Find the absolute value of the following. 1+2i 2-i

A:

Q: L{3e' sin(5t)} 15 +25 52+25 (8-1) +25 15 $2 28+26

A:

Q: (a) f(x) = eª – 1 on R. (b) f(x1, x2) = x1x2 on R? +: (c) f(x1,x2) = 1/(x1x2) on R+·

A:

Q: 2x – 5 = 0 with Solve one real root of e Xo = -2 using the Fixed-Point Iteration Method accurate to ...

A:

Q: 4. Show that 3x²e"dx + (x*e" – 1)dy = 0 is an exact equation and then find the solution.

A:

Q: For the differential equation (D³ + D² + 4D + 4)y = 0 When x=0, y' = -1, y" = 5 Find y when x = r

A:

Q: A ALEKS- zalah Garcia - Session Closed ALEKS - Izala mference ratios A barrel shaped like a cylinder...

A:

Q: Katrina borrowed an amount from Karina. She agrees to pay the principal plus interest by paying ₱42,...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Let f (z) = (7z + 9) (i – z). What is the real part of the derivative f' (1+ i)?

A:

Q: Solve the given linear programming problem using the table miethod. The table of basic solutions is ...

A:

Q: Solve the differential equation. y' = e^(3x + 2y)

A:

Q: Solve the following second-order differential equation d²y 3x2. dx2 dy 12x+ 18y = 6xe¯* + 15. dx Use...

A:

Q: 1. Find the determinant of the matrix below using cofactor expansions. Hint: start by taking advanta...

A:

Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. - n→+o n

A:

Q: A. Projectile Motion A child throws a ball upward from the roof of a house. The trajectory is parabo...

A: h(x)=-3x2+6x+4