2. Let A = {a, b, c}, B = {x, y, z}, C = {r, s,t}. Let f : A → B and g : B → C be defined by: f = {(a, x), (b, z), (c, x)}, and {(r, t), (y, r), (z, r)}. q = Find (a) Composition function go : A → C (b) Range of f, Range of g, Range of gof.

Q: 10. S= {r² + 3r +1, 2r? +r – 1,4r +1} is: a. a linearly independent set of P2. b. a linearly…

A:

Q: prove if x → y then xor y = y =

A: To prove : If x→y then x or y = y Lets use the help of truth table to prove the above statement.

Q: 31. Let f(x) = [x²/3]. Find f(S) if a) S= (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: The given function is, fx=⌊x2/3⌋. To Find: f(S) for the following set S, (a) S=-2,-1,0,1,2,3 (b)…

Q: 1. Let A = {a, b, c}, B = {1,2,3}, C = {x, y, z, w}, D = {4,5, 6}. Let the functions f : A → B, g :…

A:

Q: HW_2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

A: Solution

Q: . Given u = (-3,-4, -1), v = (6,2, -3), find (a) ||u|| (b) ||u+v|| u (c) u + v (d) u+v

A:

Q: Define relations S and R on the set A = {x, y, z, w} as follows S = {(y, x), (x, w), (w, z), (x,…

A:

Q: - T:(x, y) → (x, y – 2). What is the preimage of (3, 5)? b. (3, 7) a. (5, 7) с. (3, 3) d. (5, 3)

A: Given transformation is T:x,y→x,y-2

Q: then E(y) and V(y) are

A: here given , y =  5x-1  E(x) = 2,  v(x) = 1

Q: Let X: = {a, b, c}. Y: = {1,2,3,4}. Let f:X → Y, f:= {(a, 3), (b, 3), (c, 4)}. If Ty = {Ø, X, {a,…

A: Let x:=a,b,c   y:=1,2,3,4   Let f:x→yf:=a,3,b,3,c,4  if Tx=ϕ,x,a,b,aTy:=ϕ,y,1,33,431,3,4   then f…

Q: Let U= {x:x E Z,0< x < 10}, A= { x:x EN,x² – 5x = -6}, B={ and C={c, d, e }: a=3 , b=0 , c=3, d=0 ,…

A: (a) Given : U=x:x∈ℤ, 0≤x&lt;10 which means all those integers which are greater than or equal to 0…

Q: c) Find u (v x w) if u = [0,0, p], v = [0, q, 0] and w = [r,0,0]. %3D

A:

Q: Does S={(1,0,1),(2,1,0),(3,,1,1),(1,1,1)} spans R³ ? Select one: O True O False

A: Given: S={(1,0,1),(2,1,0),(3,1,1),(1,1,1)}

Q: Let W = (0, 1, 3}, X = {1, 3, 5), Y = (3, 4} and Z = {(1, 2), (3, 4), (1, 3),(2, 4). Compute (X x Y)…

A: The given problem is to find the Cartesian product of given sets and verify the Cartesian product…

Q: sst. Let f(x, y, z) = x³ yª + zª and x = s5, y = st³, and z = s

A:

Q: R(s, t) = G(u(s, t), v(s, t)), where G, u, and vare differentiable, and the following applies. v(7,…

A: Given that

Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

A:

Q: Find f, f, and f, and evaluate each at the given point. f(x, y, z) = x²y + 2xyz - 8yz, (-3, 1, 3)…

A:

Q: Given z=f(x, y), z = x(u, v), y=y(u, v), with z(7,5) = 5 and y(7,5)=3, calculate z, (7,5) in terms…

A: The given function is z=fx, y, x=xu, v, y=yu, v. The given table is fx7, 5=2 fy7, 5=a xu7, 5=2…

Q: 3. If z = f(x, y) with the relation xy²z³ + x³y?z +1 = x + y+ z. Find dz at (1, 1, 1).

A:

Q: 11. Define F:Z × Z→Z × Z as follows: For every ordered pair (a, b) of integers, F(a, b) = (2a+1, 3Ь…

A:

Q: Let X = {0, r, t, w}, Y = {e,g, i, k, m}, and Z = {2,3,4,5, 7,9}. Let f : X → Y where f = {(0, g),…

A: Given X = {o, r, t, w} Y = {e, g, i, k, m} Z = {2, 3, 4, 5, 7, 9}

Q: Let A = {1, 2, 3}, B= {4,5,6, 7} If f: A x B → N with f((a, b) = b – a , find the following. a. f…

A:

Q: = [4, 3, 0] v = [-2,0, –3] u = u x v = Ex: 5 Ex: 5 Ex: 5

A:

Q: 10.37. Let A ={1,2,3,4}, B={a,b,c} and C = {w, x, y, z} . Consider the functions f : A → B and g: B…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5. (a). i • (7F + (; (b). |(i • )i\\; (c). i • ); (d). (i) • . Let i = (1, 2,0), F = (4, 1, —2), and…

A:

Q: Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.…

A:

Q: If u = x2 + y2 + z2 and v = xy + yz + zx and w = x+y+z between is there a relationship between,w,v…

A: Concept: The concept of algebraic expressions is the use of letters or alphabets to represent…

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?