a|b → a is multiple of b.

Q: 3) Find x if IS = x and IQ = 2x – 5 S. R

A: given,     IS=x , IQ=2x-5

Q: Then P(X+Y<3) is

A: here given  joint probability distribution of x and y  f(x,y )= 18(6 - x - y)  ,  0&lt; x&lt;2  ,…

Q: Show that E[X]= a +V and o = b 4 4 -

A:

Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: Let A, BC X. Is Bd(A) C Bd(B)?

A: We want to check for A, B ⊂ X Is Bd(A) ⊂ Bd(B) true or false.

Q: Prove V²f(r) = d²f dr² + 2 df r dr

A:

Q: if 50% of 2y is 12, what is y2

A: 50% of 2y is 12. That is,

Q: af af a²f a²f a²f a²f for ду' дх' ду? ' дх?' дхду' дхду f(x, y) = ex²y + xy3

A: Note: Since you have asked multiple question, we will solve first question for you. If you want…

Q: Let A = %3D {x €N|2 < x < 7|} . What is n(A)?

A:

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

A:

Q: For x2 + Bx + C = (x + a) (x + b), which of the followingmust be true?(a) ab = B and a + b = C(b) a…

A:

Q: 2- SS2 dA A= {(2x,4):x7, y7p and y=x, xy=16, x=8 f4,4)' (8) Az

A:

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

A:

Q: Suppose /(x) =ve. Evaluate: A B D

A:

Q: Vx3y P(x,y) is equivalent to 3x Vy P(x,y). True O False

A: Given that ∀x∃y Px,y is equivalent to ∃x∀y Px,y. To find that the statement is true or false.…

Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: Re, De 0 x-3 义+一 6 P(x) = ス-2 3+7 O x-5

A: See the attachment

Q: re 'C' is z-

A:

Q: 6. If o= (r x a) (rx b), show that Vo = bx (r x a) +a x (r x b)

A:

Q: is equal to Vy V27x O True O False

A: 3x2y327x

Q: show that R3 o (R2 o R1) = (R3 0 R2) o R1. TI H

A:

Q: fc xdx, over y = x 3 for0 &lt; x &lt; 3

A: Given expression can be written as: ∫Cxdx , over y=x3 for 0&lt;x&lt;3. We have to evaluate the given…

Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

Q: 2. Find x in b = ax if a=23 and b=368. Reply in this format: 1. q = r = 2. x =

A: The given expression is: b=axwhere:a=23        and       b=368

Q: If (R – {0}, .) = (Q,.) then 1=0 1=-1 -1=0

A: For the given statement

Q: If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

A: Explanation of the answer is as follows

Q: 4- Prove that (a) (b) Ax B|2 = |A|²|B|² - (A.B)² (A x B) (Cx D) = (A C) (BD) - (AD) (B C)

A: Answer is in step 2.

Q: You are given that ||u|| = 1, ||v|| = (би + v) . (и —2v) ? 2 and u • v = -1. What is the value of |

A: Given query is to find the value of indicated vector operation.

Q: Let A= 1 o d - [1 2 11 0 1 0l and B= 1 -1 %3D 3 Then (BAT-2A") is equal to

A:

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

Q: If F (s) = (s+2)2+4 , then

A:

Q: .Evaluate : 8 + C x* +4 8 +C 2 x +4 A. C. -2Tan + -- B. + 4mr +4+- В. 2 8 +C x + 4 8 + C 2 x +4 D. x…

A:

Q: 31 Let A = B = 0 2 -10 If X'B = A, then X= 0 2

A:

Q: Eliminate the arbitrary constant in x^3 - 3yx^2 = c. *

A:

Q: Srena +C, then f (x)%3D x3 If A) True B) False

A:

Q: u² – 1 du, then what is f'(3)?

A:

Q: suppose that X~N (2, oʻ), AP (2<X<4) =0.3, then P(X<0)= A.0.3 B.0.2 C.0.8 D.0.1

A:

Q: Vx P(x) is equivalent to Vx ¬P(x). O True O False

A: ¬∀xP(x)≡∃x¬P(x) but it is given that  ¬∀xP(x)≡∀x¬P(x)

Q: the given DE: o-5B+ 2D + 8)y =

A:

Q: Let X- B(25,0.2). E(X²) =

A:

Q: If y = x+6), find y'. %3D O xx+6) (7xfin(x) – × + 6) O (x7 + O 7xSIn(x) – x² + 6 7+6) 7xfin(x) + * +…

A:

Q: (i) Show first that x + V1+ x2 = 25/19 + 1 = 132/475. %3D

A: (i) We have to show that x+1+x2=2519⇔x=132475 Part 1) If part,  If x+1+x2=2519 then x=132475…

Q: FIND B-A, GIVEN THAT A= {x ∈ z+ /2 <x<6}    B={x ∈ Z- / -6<x< - 2}

A:

Q: to If x #0, which of the following is equivalent to A x2 (B D x

A: Explanation of the answer is as follows

Q: If A = } and 8 - I 2 5 %3D B = 4 1 -3. 11

A:

Q: If x = t² and y = t³, then y O t O o O 3/4t O 3/t O Other: =?

A: In this question, we have given the values of x and y in the form of the variable t and we want to…

Q: Show that; 3 2 1 4r + 2 r - 1 r +1 r(r2 – 1)'

A: Since solve the first question for you. If you want any specific question to be solved then please…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.