48. Let f be a function defined on ]0, 1[ by : 0, if x is irrational f(x) ={1/q, if x=p/q; where p and q are positive integers having no common factor. %3D Prove that f is continuous at each irrational point and discontinuous at each rational point.

Q: Let ā and b = .Find —ӑ — 6. .Find - ӑ > ||

A: We will find -a-b as following.

Q: .in montreal Borns Have born were born Was born

A:

Q: Ae; is the th row of A. O True O False

A:

Q: - 1 Then ||A|l = (-2 4 If A = Select one: а. 5 b. 6 C. 4 d. 3

A:

Q: Hello, hoe about #2

A: The given function is in branch We can find Laplace transform by defination .

Q: If 2 0 4 +2 0. then:

A:

Q: 1 ++ 1 + 24 e =1+1+ 6 O True O False

A:

Q: 24, , -6 la"b d) Va

A:

Q: list the numbers (in base 10) that are in the set F(2, 2, −2, 2).

A: Here we need to list the numbers (in base 10) that are in the set F2, 2, -2, 2. Base 10 numbers: In…

Q: 6 A : -2 then A-1 %3D

A:

Q: x - dx x² +1

A: We are required to find∫xx2+1dx

Q: 3. Find. all.thethird..partial...devivatives. Xy Z a b

A: We need to find all the third partial derivative of the following functions- a. f(x,y,z)=exyzb.…

Q: C. On the grid above, graph and label each point. 1. Fat (2, 3) 2. G at (3, 2) 3. H at (-4, -3) 4.…

A:

Q: Write the number 6 as a sum of three natural numbers in several different ways, and, in each sum,…

A: To be solved - Number 6 as a sum of three natural numbers in several different ways, and, in each…

Q: x2 2.5 (x-1)2(x+1) dx

A:

Q: If A= then A-- 3 -3 Ob -8 3 3

A:

Q: if in = S. then E - 5. n=1

A:

Q: . If an+1 = 2an + 3 and ao = 1, then a7 509 513 496 487

A:

Q: Find the g.c.f. and l.c.m. of the set of numbers. {2, 4, 10, 36} g.c.f.       l.c.m.

A:

Q: Which is greater, E or P, and by how much? E = 1 + 3 + 5 + 7 + . . . +91 P = 2 + 4 + 6 + 8 + . . .…

A:

Q: A number is very close to zero. Another number is also very close to zero. The quotient, , therefore…

A: Given a number is very close to zero. Another number is also very close to zero. Let α>0 is very…

Q: Find the value of sin A. A 5 3 с 4 B

A:

Q: 11

A: We need to solve the given differential equation  (y ' - x)y " - y ' = 0.

Q: dx (x+1)(x²+4) 2х+3

A:

Q: Let A = and B = . Find the following. а. 2А+B b. || A|| с. А о В

A: Vectors

Q: The money paid for the use of money is ________ .

A: we have to fill the given statement  Statement : The money paid for the use of money is ________ .

Q: Find BA. A = BA= -1 - 1 -6-2 B = -2 - 3 -4 -1

A: Given:     A = -1-1   -6-2    B = -2-3  -4-1

Q: 3. Given A = {2, 3, 5}, and B = {1, 2,3, 4, 5}, which of the following is a correct statement? a. A…

A:

Q: If x= 1.3 + 3.6 1.3.5 3.6.9 + 1.3.5.7 3.6.9.12 + then P.T. 9₂²°²+24x=11 ,

A:

Q: Evaluate. 13!/12! A.6 B.26 C.12 D.13

A: Recall that, n!=n(n-1)!

Q: Evaluate each of the following: 3. 1. xydxdy 0.

A: A double integral can be considered as an integral inside an integral. This can be mathematically…

Q: ᎾᏢ Ꮎp ( Ꮎ ) s00 f

A: