Let fi = 1+x + æ?, f2 = 3+ 2x + a?, fs = 1+ 2x + 3x?, fa = 1+ 3x + 5æ?. 1 -1 is a dependence relation on (f1, f2, f3, f4) then what is | If t the value of s?

Q: (2 1). If Let vi = 1 2 2 is ,V3 V4 3 a dependence relation on (v1, v2, V3, V4) thenx = a) 17 b) 15…

A: Here, we have v1=111, v2=123, v3=321, v4=210. If xy-1-3 is a dependence relation on v1, v2, v3, v4,…

Q: 5. Define a relation S from R to R as follows: For all (x,y) ERx R, (x,y) €S means that x > y. a. Is…

A:

Q: Let fi = 1+* + x?, f2 = 3+ 2x +a?, fs = 1+ 2x +- 3x?, f4 = 1+3x +5 1 -1 is a dependence relation on…

A:

Q: Let A={3,4,6,7}, and define a relation R on A as follows: For every x, y belong to A, xR y x|y.…

A: We first write elements of R then we form diagraph and then we write the corresponding adjacency…

Q: 7.1.4 A relation is defined on N by a Rb + ; E N. Let c,d E N. Under what conditions is it…

A:

Q: Let X = {x E Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y +1 < 15}. Define a relation R from X to…

A: We have to find the elements of X and we have to define a relation R from X to Y.

Q: Show that the relation R on a set A is symmetric if and only if R = R-, where R is the inverse…

A:

Q: 2. Use first differences, second differences, and/or ratios to classify each relation as linear,…

A: a) Here, from the given table we find the ratios of the consecutive terms: x y Approx. Ratio -3…

Q: 1. Let A= {5,6,7,8,9,10} and define a relation S on A as follows xS y→ 2|(x-y) (a) Is 5S 6? Why? (b)…

A:

Q: Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x = y…

A:

Q: Prove this is an equivalece relation. x related to y iff x2 -  y2 is even

A:

Q: Define the following relations on A = {0, 1,2, 4}. Answer each of the following questions by listing…

A: We will use the basic definitions

Q: 4) B. Let A = {u, v, w}, B = {x, y, z}. Determine whether the relation R = {(u, x), (v, z), (w, y)}…

A:

Q: 10.9. Determine which of the following five relations R; (i = 1, 2, ..., 5) are functions. d. R4 is…

A:

Q: 1. Which of the following relation between x and y represents y as a function of x? Select all that…

A: Relation between x and y is given in the graph. we have to the relation as a function.

Q: A relation F : A → B is a function if and only if Va E A. O |F(a)| = 1 O |F(a)| > 1 O |F(a)| > 1…

A: First option is true by definition only.

Q: Suppose z = z(x,y) is x + y+z = e¬(x+y+z) , then which relation is correct? az D): az az az az 1 ду…

A: The solution is given as follows :

Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: %3D For all (x, y) E A × A, (x,…

A:

Q: (a) Show that the formula (VæR(g(x), x) = Vx3yR(y,x)) is universally valid, where g is a 1-place…

A: Part(a): As we know, ∀xRgx,x⇒∀x∃yRy,x Where g is a two place function symbol and R is a two place…

Q: Let X-(3, 4, 6, 8). Determine whether or not the relation R = {(x, f(x)) :x - X, f(x) %3D = x2 + 1}…

A: Solution is given as: Hope the answer is helpful.

Q: Let G = {-2,0, 2} and H = {4,6,8} and define a relation V from G to H as follows: %3D For all (x, y)…

A: Solve the following

Q: For each n E N, we write S" := {(x1, x2, ..., In+1) E R"+1 : E? = 1}. (1) Let f : S2 → Rª be the…

A: Given: Sn:=x1,x2,...,xn+1∈ℝn+1:∑i=1n+1xi2=1 for each n∈ℕ f:S2→ℝ4 is the function defined by…

Q: 9. Let X = {r1,12, 23, T4}, Y = {yı,y2, Y3}, and Z = {zı, z2}, Let R be the relation from X to Z…

A: Given: 9) X=x1, x2, x3, x4, Y=y1, y2, y3 and Z=z1, z2, z3. R=x1, z1, x2, z2, x3, z1, x3, z2 and…

Q: i). Find the highest normal form of a relation R(A,B,C,D,E) with FD set as (BC->D, AC->BE, B->E}

A: As we can see, (AC)+ = {A, C, B, E, D} but none of its subset can determine all attribute of…

Q: 15-18: Suppose we define a relation T from A = {-3, 2} to B = {-2, 0, 1} as follows: For all (x, y)…

A:

Q: Check whether the relation R on the set S = {1, 2, 3} is an equivalent relation where ? = {(1,1),…

A:

Q: 5. Given a function f: A → B. Define the relation f from P(A) to P(B) by f = {(X,Y)C P(A) × P(B) | Y…

A:

Q: Let Y = {0, 1,2} and Z = {0, 1} and define a relation R from A to B as follows: Given any {x,…

A:

Q: Is this relation discrete or continuous? -50 -5 -5- O Discrete O Continuous

A: This relation is Discrete.

Q: Α) Reflexive (No), symmetric (No), transistive (No) Reflexive (Yes), symmetric (Yes), transistive…

A:

Q: Let fi = 1+a +x², f2 = 3 + 2x +x², f3 = 1+2x + 3x², fa = 1+3r + 5æ². If is a dependence relation on…

A: We have to solve given problem:

Q: (et (6,*) be agroup Then the function * P₁: (6₁)→→→(6₁) which defined by:- fa (x) = a*X VaXeG is…

A:

Q: QUESTION 2 Let S be the following relation on C: S = {(x, y) = C²:y-x is real}. Prove that S is an…

A:

Q: Let G = { -2, 0, 2} and H = {4, 6, 8} and define a relation V from G to H as follows: For all (x, y)…

A:

Q: Let R and S be the relations defined as below 2. R = {(1,2), (1,3), (2,3), (2,4), (3,1), (4,1)} S =…

A:

Q: 13.) Which of the following sets contain functions that are linearly independent? * O A.) (3x – 1, x…

A: Proceed as shown below..

Q: Let C = D = {-3, -2, -1, 1, 2, 3) and define a relation S from G to D as follows: For all (x, y) E C…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 7. Modify B(3) to construct a C* function C(2) which satisfies C(2) = 0 if z S 0.. a. b. C(z) = 1 if…

A: please see the next step for solution

Q: Let E =(1, 2, 3} and F = {-2, -1, 0} and define a relation T from E to F as follows: For all (x, y)…

A:

Q: Which of these relations are functions? Select all that apply. y 16 17 3 15 -13 18 -4 4 15 2 4 10 10…

A:

Q: 2. The table below shows corresponding values of x and y which approximately satisfy a relation of…

A:

Q: Define the following relations on A = {0, 1,2,4}. Answer each of the following questions by listing…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: Compute the linear correlation coefficient between the two variables and determine whether a linear…

A: Solution: Correlation coefficient is given by, r=∑XY-nX¯ Y∑X2-nX¯2∑Y2-nY¯2 When the value of r is…

Q: 2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y)…

A:

Q: Determine whether the following relation is a function from R into R. A Iso deter- mine whether that…

A:

Q: Which of the following relation is a function? a) Z={(1,4), (2,3), (3,2). (2,4), (1,4), (1,5 )} b)…

A:

Q: Decide whether (t) = t + 3, 2(t) = t² – t, 3 =t + 3 are linearly independent or linearly dependent.…

A: Given that                           y1(t)=t2+3, y2(t)=t2-t, y3(t)=t+3

Q: 14,497 where y is the 55000 and older with at least a indicates a linear relation nt of 0.7581.…

A: Note:As per the requirement of the students solving part(c). Let Y= a+bX be the regression line.…

Q: The adjacency matrix for the relation R on {v1, v2, v3, V4} is given below. 1 0 1 1 0 0 1 1 1 1 1 1…

A: Given the adjacency matrix for the relation R on the set A=v1, v2, v3, v4 as,…