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), (r, k), (t, m), (w, i)}. Let g : Y → Z where g %3D {(g,9), (k, 3), (е, 7), (т, 4), (і, 2)}. Answer each of the following questions. (g •f)(0) = (g •f)(t) = (g •f)(w) =

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

A: Please see the explanation below

Q: Let X {1,2, 3} and Y {3,4}. Define f : X → Y as follows: = f(2) = 3 and f(3) = 4. Draw an arrow…

A: We will draw the arrow diagram for function mapping from set A to set B.

Q: Let C = = {0, 1,2,3} and f: C→C, g: C→C with f = {(0, 2), (1, 2), (2, 3), (3, 0)}, = {(0, 3), (1,…

A:

Q: 2. If f(2, u) dA 10, where D is the triangle with vertices (0, 0), (2,0), and (2, 3), then the…

A: To find the average value of the given double integral.

Q: If f(r, v)= +y-2y, find fa (2, 1), f (2, 1), fay(2, 1) and fy(2, 1).

A: Given a function f(x,y)= x3+x2y3-2y2 Now, fxx= ∂2f∂x2=∂∂x∂f∂x fyy= ∂2f∂y2=∂∂y∂f∂y…

Q: W (s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, v:(3, – 2) = 7, F.( –…

A: Let's find.

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X → Y is defined as: f = {(s, 8), (r, 8), (q,…

A: We want to find elements in the range of function f.

Q: u = (+), V = = (44), W = 2 1 (³). For which values r R is the set {u, v, w} linearly independent?

A:

Q: 3. Consider the set f = {(x,y) E Z × Z|3x + y = 4}. Is this a function from Z x Z.

A: We need to determine if the given function f=x,y∈ℤ×ℤ3x+y=4 is from ℤ×ℤ Now, 3x+y=4 This means,…

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X→ Y is defined as: f = {(r, 7), (s, 8), (p,…

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: Suppose g : A → B and f : B → C where: А 3D {а, b, с, d}, В 3 {1, 2, 3}, С%3D {e, h, g, k}, and g…

A:

Q: 2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D

A: We have to find [G:H]

Q: Let f(x,y,z) = x² e Vy*+ Compute f(3, - 5,3) and f(5,8, - 6).

A: Given that     f(x,y,z) = x2 e√(y^2+z^2)

Q: Find f, f, and f, and evaluate each at the given point. f(x, y, z) = x?y³ + 2xyz – 7yz, (-2, 1, 2)…

A: The given function is fx,y,z=x2y3+2xyz-7yz and the given point is -2,1,2. Obtain the partial…

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 ;)