3. If F is d.f. of one-dimensional r.v. X, then F(-0) = lim F(x) = 0 and F(0) = lim F (x)=1 x →- 00

Q: X* +39

A:

Q: b) Show that z, + z, = z, + Z, . 2

A:

Q: Lind Domin ond Ronge ? FlxJ=5+X り= メー9

A: f(x) = 5+x/ x2-9 Set the denominator in 5+x/ x2-9 equal to 0 to find where the expression is…

Q: Show that Sn is solvable when n ≤ 4.

A: We see that S1  is the trivial group {e} and it is solvable.   We see that , |S2| = 2 so it is…

Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

A: The answer provided below has been developed in a clear step by step manner.

Q: 2,-2 2,- 2

A: We have to prove this formula

Q: = Let a, b, and d be positive integers. Prove that if (a, b) : divides a, then (d, b) = 1.

A: Definition of gcd (a, b) =1 is a and b does not have common prime divisor. Using this we can easily…

Q: State the Fermet's Last Theorem. Who was French women mathematican who mede significant 19th century…

A:

Q: What can you conclude regarding the numbers y and z if x z?

A: Given x<y, x>z

Q: 6x 3x 5y 2. 5y 6x-4 3. + 3r+8 1ly 11y

A: Given that: 6x5y-3x5y To solve, Apply  rule:  ac±bc=a±bc6x5y-3x5y=6x-3x5y=3x5y

Q: Show that if a > b, and a, b i= 0, then b- 1 > a - 1, provided that a and b have the same…

A:

Q: , provided

A: Given that,f(x)g(x) The above statement will be defined only when g(x) is not equal to zero for any…

Q: Prove that A2=I.

A:

Q: A counterexample can be used to prove a theorem is false. O True O False

A: We have to check

Q: could you prove this using only an equational proof FAVAAB = A

A: We will prove by using equational proof

Q: if fcx) = _X then f (-1) is: |-X

A:

Q: can u show me the work for question a

A: (a) when y = 0,           dy/dx = 0

Q: Could you please expand on how you found the linear combinations?

A:

Q: Prove that diyrwl

A:

Q: Show that (AB)¹ = BTA¹ if A = 2 0 2 0 and B = -1 1 15) -3 1 -1 -1 2 2). a

A:

Q: Find a and b such that 2 1 = a -4 + b -4

A:

Q: b22 Such that/2/-1E andArg 4.

A: We find complex number

Q: let A. 2. . find A"

A: We have, A=1201To find An we will calculate A1,A2,A3,... and observe the pattern.

Q: xʻy Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (x4+6y8) r4.

A:

Q: Prove that if r>3 and y > 4, then ry > 11.

A:

Q: this is incorrecta

A: The given functions,f(x)=2x+4g(x)=x-1

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Who has an answer for these??

A: Question 1 : If  p and q are true and r is false. That is,  p =T , q = T and r = F Then ( q ∧ r ) ∨…

Q: 3+4i30 -2+i 2-i 5

A: To prove the equation 3+4i302-i=-2+i5 to prove it start from the left hand side and deduce the right…

Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: 1. Show that dr

A:

Q: What are all of the theorems used in a ferris wheel?

A: A Ferris wheel is a type of amusement attraction that consists of a revolving upright wheel with…