Let A = {1,2,3} ,B = {a,b, c} and c = {x,y,z} Let R1 = {(1, a), (2, c), (3,a), (3, c)} and R2 = {(b, x), (b, z), (c, y)} (a) Find the composition relation R10R2 (b) Find the matrices MR, , Mr2 R10R2 and compare MR,R2 and MR, R, of respective relations,R1, R2 and with MR, · MR2

Q: (b) Let R = {(x, y) E R × R : 1 < ¤ < 4 or x = 6}, and S = {(x, y) E R × R : -1 < y < 1}. i. Find…

A: Solution: The given relations are R=x,y∈ℝ×ℝ : 1≤x≤4 or x=6 and S=x,y∈ℝ×ℝ : -1&lt;y&lt;1

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: 6. Use the Chain rule to determine fs, an f(x, Y, z) =

A:

Q: The relation R on X={1,2,3,4}defined by (x,y) € R if x=y.

A:

Q: the book is "First Course on Fuzzy Theory and Applications"

A: To  write down the table for the fuzzy composite relation

Q: Verify that ) Determine from y Graph the solition of the IVP. is a solution of the ODE. . the…

A:

Q: Let Z = {0, 1, 2, 3} and the relations R, S, and T on Z are as follows: %3D R = {(0, 0), (0, 1), (0,…

A: Hence,prove the reflexive ,symmetric and transitive relation .

Q: Vx E X, (x, x) ¢ R. X = {1,2,3}, h of the following relations R on X is irreflexive?

A: Here given set   X={1,2,3}   we know that relation is irreflexive when each x belong X (x,x) dose…

Q: Let w = f(x, y), x = g(s, t), and y = h(s, t), where f, g, and h are differentiable. Use the…

A:

Q: 15- R {(x,y) EZ XZI(y-x) = even element} is an symmetric %3D 16- R {(x,y) EZXZI(y-x) = even element}…

A: Recall: Reflexive, symmetry and Transitivity:   Let R be a binary relation on a set A. R is…

Q: A. Let R be a relation on set A. A={x :xeJ and 0 sx s 12), and R={(a,b) : la - b| is multiple of 4}.…

A: Since not particular question asked, as per guidelines solution to only first question(i.e A) is…

Q: Q2- By using Chain Rule, find əu/əx, əu/əy, du/əz at (x, y, z) = (√√3, 2, 1) U= p-q q-r p= x+y+z )…

A:

Q: 5)Let w-f(u, v), where u = X -y andv = a) Using the chain rule, express x-y in terms of x, y, of and…

A:

Q: 2 1-Find the geometric location of the relation z – 3 -ži = v2. 3

A:

Q: 1- R1 = {(A, B) E P(X) × P(X)/A S B} 2- R2 = {(A, B) E P(X) × P(X)/AN B + 0} %3D

A:

Q: 5. Find a linear mapping F : R³ R³ defined by F(2,0, 3) = (1, –2, – 1), F(4, 5, 1) (-4, 5, –2) and…

A:

Q: (a) Express du / ax, du/ ay, and du / az as functions of x, y, and z both by using the chain rule…

A: Solving

Q: Let f(x, y) = 5x + 9y, r(t) = (r³,1²). Use the Chain Rule to calculate f (r(t)) at the value t = -4.…

A:

Q: Let f: R³ → R? defined by f(x, y, z) = (xy + z, x + yz) and g: R² → R* be given by g(x, y) = (x²,x-…

A:

Q: Let A = {0,1,2} and B = {-2,-1,0}. Define a relation C from A to B as follows: For any (x,y) A x B,…

A:

Q: Form PDE by eliminating arbitrary tunction m the relation Ø(x² + y² + z²,z² – xy) = 0

A:

Q: 3(a) Consider the relation R defined on the set X={a,b,c,d} and Y={1,2,3,4} from X to Y, where R=…

A: The objectives are: i) Deduce the matrix complementary relation MRC ii) Find the value of TCoR-1

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: :R3-R3 defined by  T(x,y,z)=(x,y,0) Show that T is linear and find its range and kennel

A: T : IR3→IR3 defined asT (x,y,z) = (x,y,0)Let (x1,y1,z1) , (x2,y2,z2) ←IR3 and ⋉←IR ThenT…

Q: 2- i) Let B {(x,y):x,y eZ and 3(x-y)}. Show that B is an equivalence relation. Find equivalance…

A: A relation is said to be equivalence relation of it is reflexive, symmetric and transitive.…

Q: ch of the following shows the structure of Earth in the A. core, crust, mantle, landform, water B.…

A: We will use basic of geography. Solution of the above question is in the step below.

Q: 2. What are the inner, outer, edge and accumulation points of the regions defined by the following…

A: Accumulation Points :- A point "p" is an accumulation point of set say T⊂ℂ  if each deleted…

Q: Advanced Calculus 17-22 Use appropriate forms of the chain rule to find az/au and az/av. 20. z = 3x…

A:

Q: Consider X = [1,2]? with the relation (x1, y1)~(x2, Y2) if x1Y2 = x2y1. Also define 3x g: X → [1,2]…

A: We shall solve first three subparts only as per company's guidelines. For others please post again…

Q: Eliminate Band a for the relation. x=Bcos(wt+a) in which w is a parameter. *

A:

Q: z +1 g(z) = z*. Check the chain rule in gof. Given f(z) z – 1

A:

Q: Suppose that w = f(x, Y, 2), x = h(s,t), y = g(s,t), z= k(s) and all the conditions required for the…

A:

Q: 3. (a) For a given set A, consider the relation R= { (X, Y)|Χ ΕΡA) Υ ΕΡA) , and X Y) Show that R is…

A: Partial order relation

Q: RECURSION RELATIONS: L Jp(x}] = ° Jp=1(x), d.r Jp-1(x) + Jp+1(x) =2J,(x). Jp-1(x) – Jp+1(1) =…

A: As per our company guidelines, we are supposed to solve only the first three subparts. Kindly re…

Q: 3. The vertices of AFGH are F(-1, 1), G(-5, 4), and H(-5,-2). X is the midpoint of FG, and Y is the…

A:

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

A:

Q: Consider X = [1,2]? with the relation (x1, y1)~(x2, Y2) if x1Y2 = x2y1. Also define 3x g: X → [1,2]…

A:

Q: Discrete structure

A:

Q: Using Max-min composition, find relation between R and S: Уг Уз X1 [1 1 0 0 0 1 Z1 Z2 У1 [о 1 S = y2…

A: Solution 2. Given that               y1y2y3R=x1x2x3110001010 and                z1z2S=y1y2y3011011…

Q: Q2- By using Chain Rule, find au/ax, du/dy, du/az at (x, y, z)=(√√3, 2, 1) u= p-q 9-r' p = x+y+z…

A:

Q: Let f:R' → R’ be given by f(x, y,z)= (Vxe",x² +z², In y) and g:R' → R² be given by g(x, y,…

A: The given mappings are f(x,y,z)=xez, x2+z2, ln(y) and g(x,y,z)=x+2y-z, xyz2 The total derivative of…

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

A:

Q: 1. Determine formulas for and for the situation, w=w(x, y, z), x=x(u,v,t), y= y(p), z=z(u,t),…

A:

Q: Given R = { (x,y) ϵ R | 4 divides (x-y) with zero remainder, x,y ϵ A} on A = {1, 2, 3, 4, 5}, which…

A:

Q: (i) Express ôz/ôr and ôz/80 as a function of r and 0 both by using the chain rule and by expressing…

A: Given: z=4exlnyx=lnrcosθy=rsinθ

Q: Q5 (B) Let A = {1,2,3, 4, 5,7}. Draw the directed graphs associated with the following relations on…

A:

Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: Let f(x, y) = In(x) + In(y), r(t) = (cos(t), r). Use the Chain Rule to calculate f (r(t)) at the…

A:

Q: a) Let A = [-1, 1] = {x €R: -1<x< 1}. R = {(r, y) E A x A : ¤|+ |y| = 1 or |x| = |y|} %3D

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.