4. Determine which of the following subsets of R2 are open, closed or none of them. (a) {(x, y) = R²: x, y ≤ Z} (b) {(x,y) = R²: x, y ¢ Z} (c) {(x, y) = R2: x = Z, y & Z} (d) {(x, y) = R²: x = Z or y = Z}

Q: Two students are named to present their work from a class of 12 students: 5 from electrical…

A: Total = 12 students Electrical = 5 students Telecommunication = 4 students  Computer = 3 students

Q: Let f = 12r + kry + Jryz re-express f O f(r,y,z) = (x, ry, Tyz+) O {r,y) = (x, ry, ryz*) O f(x,y) =…

A: GIVEN f= ix+kxy+jxyz4     ....(1)

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 = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

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A:

Q: Find y if y = (x8 +1)21z+14 O y = (21z + 14)(28 +1)21z+13(8,7) 21r+14 oy = (2³ + 1)21lz+14 21 ln(z³…

A:

Q: Consider the following bivariate data. Point ABCD EFG HIJ 0. 1 34 y 5. 8. 4 3 4. 1 1 (a) Construct a…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

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A:

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A: we solve this LLP by  graphical methods.

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A: I have find identity of the field and then inverse

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A: between two agents. All points on contract curve satisfy above condition.

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A:

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A: As per the question we are given two multivariate quadratic equations : f(x,y) = 2x - y - x2 + 2xy…

Q: 7. Sketch the set {(x, y) = R² : ||(x, y) || = 1} when: (a) ||(x, y)=√√√x² + y² (b) ||(x, y) || =…

A:

Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

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

A:

Q: b) Let f: D→ C be a function and Y a subset of C. Show that f¹ [C-Y] =D-f¹ [Y].

A:

Q: 2x (x-6) 3.) y = (x-3)3 required:a) yand y"

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Q: = Prove the operation of addition on the set Q = {[(x, y)] : x ≤ Z, y ≤ N} defined by [(x, y)] +…

A: Let us show that given operation is well defined.

Q: Determine whether the following sets are convex (1) {(x,y)=√x + √√]]l}

A:

Q: (b) Show that xE R, x2 - 4x + 5 > 0.

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

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Q: 6) Show that (2xy, 2yz + x², y²) is conservative.

A:

Q: Find free variables in the following formulas: i. ∀x(p(x) -> ∃y~q(f(x), y, f(y))) ii. ∀x(∃yr(x,…

A: A variable used in a mathematical expression, which is neither parameter nor local variable. That is…

Q: 16. Where does the smallest value f(r, y) + 3ay + y occur on the rectangle (-2, 2) x (-3, 1]? a) It…

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: