4. Let A and B be sets and let T C B. Also let f : A → B. (a) Use a diagram to show that f(f-'(T)) C T. (b) Under what condition does equality hold?

Q: Q: Interpret the vate of change f y = (-2 Jn=+1 + 5) (45 -2) with Yespect to

A:

Q: 3. f(x, y) = x² x+y + y²-1 -; (1, 1), (-1, 1).

A:

Q: 27. Let f(x)= [x²/3]. Find /(S) if a) S-2, 1, 0, 1, 2, 3). b) S= (0, 1, 2, 3, 4, 5). c) S = (1,5. 7.…

A:

Q: 10. Determine whether each of these functions from {a, b, c, d} to itself is one-to-one. a) f(a) =…

A:

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

A:

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

A:

Q: Let fi : R" –→ R and f2 : R" → R be two functions. (5.1) Consider the following proposition: If…

A: let f1:ℝn→ℝ and  f1:ℝn→ℝ be two functions consider the following propositions: if epif1∩epif2 is a…

Q: Compute f, fy, f fy, and fr of the function. f(x, y)=(2x-3y)* |

A:

Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f…

A:

Q: 1. Let {1,2,3} and B = {3,6,9}. Which of the following are functions from A to B? If they are not…

A: Let A=1, 2, 3 and B=3, 6, 9. To determine whether the following relation is a function.If it is not…

Q: 24a Show that f: IR→IR, X→ (1-x)³ + COSCI+x³) is aj continous. b.j Show that the map тар f: IR→IR₁…

A:

Q: 10. Let Is f convex, concave, or neither? ƒ(x1, x2) = x² − I1X₂ + x² + 3x₁ − 2x₂ +1 (71; 72) € R². -

A: