Exercise 2. Let X be a topological space. Endow Xx X with the product topology. Consider the map f: X→ X x X, x→ (x,x). Its image f(X) is the diagonal Ax = {(x,x) | x = X}.} d) Give an example of a topological space X such that Ax is not closed in X X X. c) Endow R² edsedna to polquiszo

Q: ab)c=

A: Given,           abc

Q: Evaluate x²+3x+5

A:

Q: 1-2(3t)/(3t)1/2

A: 1-2(3t)/(3t)1/2  =   = 1-2(3t)(3t)-1/2    = 1-2(3t)1-1/2    = 1-2(3t)1/2…

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 12 R 10 5

A:

Q: こ (0) of

A:

Q: y X (9, –3)

A:

Q: Every row operation is reversible. O True O False

A: Every row operation is reversible.

Q: r A D C

A: We have given a diagram;

Q: 18) 2x y

A:

Q: S 3x+6 (1+ 8х+ 2х2)s dx

A:

Q: 2'dr

A: Explanation and solution is given below....

Q: 2c dc Te4lnc + 4

A:

Q: A 2/15 B 30 V35 5 20

A: Given,  A circle with secant and tangent  We have to find the value of x

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: Find the LU factorization of A = A = 1 1 -3 0 9 3 -17 5 2

A:

Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: A) Suppose F(xy)- М(х,у) і + N(x,y) j is a vector field on the xy plane such that F•dr = 0 Se I F•dr…

A:

Q: 5 and 2/3 feet + 4 and 1/6 feet

A: Answer  - 5 and 2/3 feet +4 and 1/6 feet

Q: Slx² - 2)/xdx = B

A: Topic = Integration Correct answer = B

Q: (カナ) 2.

A:

Q: If m 2 50, which diagram represents ở drawn in standard position? O A. O B. O C.

A: Option D is correct..

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: Show that 8 = [(AB) (aß) – (AB) (aB)] %3D

A: ANSWER: For the given data,

Q: w+5 -dw w - 6w+10

A: A detailed solution is given below

Q: 75 + フチ + k「3

A:

Q: Letters b, c, d and e.

A:

Q: REVIEW: 16) Given: X is the midpoint of both AD and BC. Prove: AABX = ADCX 1) X is the midpoint of…

A:

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: 3D6 дхду y

A: Topic:- application of integration

Q: | +2V dv -5v-3V 2.

A: Solution is given below:

Q: x + 4x +16x + V... + V4"x+3 – Vx = 1

A:

Q: C and D

A:

Q: dt 10 A 3 +t+c B) 128+금2. 8t + - t2 D +C + 20

A:

Q: dt t²Vt² – 16

A: