2. There is a function f : X →Y . Let's define a relation R in a set X, by a formula: (xRy) → (f(x) = f(u) Prove that R is an equivalence relation in a set X.

Q: countable in number, such that

A:

Q: (1) If volume is high this week, then next week it will be high with a probability of 0.8 and low…

A: Given: Let us consider the given, Take 1 as high and         2 as low Then the state space,S=1,2

Q: Evaluate L{r'e}. (a-b)! A. aーb+1 (a+b)! В. a+b+1 b! C. (s -n+a) b+1 a! D. (s-b+r)** (ab)! E. ab+1

A:

Q: 4. Show that the edge set of every regular bipartite graph is a union of edge-disjoint perfect…

A:

Q: Be sure to show your work for the following questions. (a) Find the range of y = 2x2 + 6x – 4; (b)…

A: (a) To find: range of y=2x2+6x-4. (b) To find: the formula of a quadratic polynomial that passes…

Q: Is it true for abstract algebra that if a*b=a*c then b=c

A: Use the following axioms of group, to obtain the solution. Let G,* be a group and a,b,c∈G.…

Q: 2. Find the centroid of the area bounded by y = 4x – x² and the x axis. a. Sketch the area and find…

A:

Q: Draw diagram to show the output of each phase of compiler for following expression. a +b-c*d

A:

Q: 2. (s² +5

A: The given function is -tcos5t To find the Laplace transform of the given function proceed as follows…

Q: Direction: Solve the function using Bisection Method. Show your complete solution. 1. Show that 3x €…

A:

Q: 1) f(t) =t cos(@t) 2) f(t)=tsin(@t) 3) f(t) =t cosh(at)

A:

Q: Determine from the given graph whether the function has any absolute extreme values on [a, b]. Ay…

A:

Q: Consider the graph: In[3] matrixEx1 ((0, 1, 0, 1), (1, 0, 1, 1), (0, 1, 0, 1}, (1, 1, 1, 0}}; ->…

A:

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A:

Q: Solve number 2, please. SOLVE the following DIFFERENTIAL EQUATIONS using the appropriate method.…

A:

Q: 1 Toys-4-U manufactures a toy that it sells for $30 each. The variable cost per toy is $15 and the…

A:

Q: Students at Blake's high school must have a B average in order to participate in sports. Blake has a…

A:

Q: G5: What is the degree of vertex 2? Degree =

A:

Q: 1 company making cold drinks has two bottling plants located at towns T. and T2. Each plant produces…

A:

Q: Direction: Solve the function using Bisection Method. Show your complete solution. 1. Show that 3x E…

A: For the solution of the problem follow the next steps.

Q: Theorem 84 Let a be a positive real number. For each real number r, 1. I리=a ← 2. 1-a|= |a|.

A: We are given that a is a positive real number  and x∈R . We have to show that  (1) Necessary and…

Q: O1: find the root of the following equation, x3 = 20 using Bisection method with X=1, xu=4, conduct…

A: Let, f(x) = x3 - 20. We try to find root of f(x) = 0, by bisection method with initial interval…

Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For the solution of the problem follow the next steps.

Q: + Solve the following determinants:- ! 2 3 4 01 2 3 - 2 1 - 1 0 2 3 2 0 2 0 3 e) 38 S)1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: p*q denotes (p + q) / q. (a) Find the value of x when x * 6 = 4, (b) Solve the equation 2* x = x*…

A: Given operation is p * q = p + qq

Q: Bank A advertises a money market account that pays 2.2% compounded quarterly. Bank B advertises a…

A:

Q: Consider the initial value problem y(2) = 5. Using the Duler's method we have Select one On-5+18h O…

A: For 1st one. The given differential equation is…

Q: E =U E, E; E;= 0, i ± j. Ej, %3D

A:

Q: Time, t (min) 4 8 12 16 20 28 Concentration, C (mg/L) 2.5 3.2 3.4 3.5 3.3 0.3 Data in the table for…

A: Below is the solution for this optimization problem. Here we use the differentiation method to solve…

Q: Represent f(x, y) by a series f (x, y) = LBmn Sin sin m=1 n=1 where 0 < x < 2, 0 < y < 2. f (x, y) =…

A: The given problem is to find the value of Bmn for which the given series of f(x,y) over the given…

Q: (2) ydx + (x + x³y²)dy = 0

A:

Q: Plot the point with cylindrical coordinates (2, 27/3, 1)

A: Introduction: The distance from a chosen reference axis, the direction from the axis relative to a…

Q: Find an equation of the sphere satisfying the given conditions. a. It is concentric with the sphere…

A: Under those conditions no sphere is possible. Find the details below.

Q: Solve the following determinants:- 1 2 3 4 0 1 2 3 0 0 2 1

A:

Q: Use the two properties L1 and L2 to show that the following are linear transformations. (d) T:R' →R'…

A:

Q: Plot

A: Given, plot 78 and 88 on the number line.

Q: Determine the effective annual yield for $1 invested for 1 year at 4.1% compounded semiannually. The…

A:

Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697

A: To see how many different orders are possible for elements in  Z92639

Q: (1 1<t<3 f(t) = 0 otherwise

A:

Q: Which of the following functions has no inflection point Select one: O a. f(x) = x³ O b. f(x) = ln x…

A:

Q: x'sec'ydy - (1- 2x’tany)dx = 0 dy – (x- y + 1)°dx = 0

A:

Q: Determine a root from the given function using Secant method with the terminating condition Ea…

A: In secant method for a function f(x) if x0 and x1 are initial approximation of root for f(x)=0 then…

Q: Explain how to determine a line's starting location.

A:

Q: 7. Draw a line through the point such that the value of the y-intercept is the same as the value of…

A: please post the multiple question separately.Here I answered 1st question as per out policy

Q: dx 1+ sin?

A: Some of the formula of trigonometric tan2x+1=sec2xtanx=sinxcosx∫1a2+x2dx=1atan-1xa+C

Q: Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

A:

Q: (c ) Find the S(sin q + cotq – e5q+1 + q5) dq 11 2x+5 (d)Using the method of Partial fractions find…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Si6-X2 dy dx q +x?+y

A:

Q: Find the maximum and minimum values of the function f(x, y, z) = x²y z? subject to the constraint x²…

A:

Q: 1. (3x'+ 2y')dx + 2xydy=0

A: