If a = qb +r, then gcd(a, b) = gcd(a,r).

Q: 18) (SAnn B anlogbro dtiv C AB = 12, BC = 3x + 6, and AC = 5x – 12 a) Find BC b) Find AC

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

A:

Q: af Find ar ar and ax' ay az 38 Ах, у, 2) x² + yZ + z? af ax ar ay af az

A:

Q: Exercise: 5x = ax + w R

A:

Q: Verify that (AB)T = BTAT.

A:

Q: Verify that det A = det B + det C, where Uj + vj U2 + v2 Uz + V3 A = A22 аз1 A32 --EE-E: A12 A22 V2…

A:

Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

A:

Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

Q: Let a2 + y2 + z2 = 3ryz, then which of the following is 一

A:

Q: A = Acosx + Bsinx + 1 and B = -Asinx + Bcosx Then, what is the A, B ?

A: The detailed solution is given below  Thank you

Q: In a class of 40 students 25 speaks hindi and 15 speaks both english and hindi. All students speak…

A: Given Number of students speaking Hindi ,n(H)=25 Number of student speaking both English and Hindi…

Q: Prove az - ae that d az dz

A:

Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

A:

Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

A:

Q: If u = -12i - 6j and v = 9i + 9j, findu + v. O 21i - 4j O 21i + 3j O -4i + 3j O -3i + 3j

A:

Q: 1. P+Q, -Q v -P 2. P, (P v Q) v P 3. Pv Q, P --> Q, -Q^ -P 4. -P-->-Q, Q-->P

A: This is a multipart question having more than 1 interrelated subparts. As per company policy, we…

Q: %3D Bi'

A:

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: z equals 1 If 1, then וא

A:

Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0<x<2 , 3<y<5

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: find A1 ∩B1 , GIVEN THAT                                             U= {x ∈ z/ - 7}    A= {x ∈ Z+…

A:

Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

A:

Q: If X ∼ N (μX , σ2X ) and Y ∼ N (μY , σ2Y ) are independent, then prove X + Y ∼ N (μX + μY , σ2X +…

A: X~Nμx,σx2 and Y~Nμy,σy2 are independent. Here, X~Nμx,σx2. In this context, it is known that the…

Q: If (x+iy) = a+ ib, Prove that + a b = 4(a -b*).

A:

Q: Express E: livenr coumbination of Ÿ; = and V as a

A:

Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 5) and w = (4, 3, 8).…

A:

Q: of ALL explanatory variables x2, x3,

A: There will be various methods to test the significance of the exploratory variables in the…

Q: f(2)de = Af(1)+"(), the If Af(1) + 3 0. A = 2, B 1 O A = 0, B = 2 O A = 1, B = 1 O A = 0, B = 1 O A…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: Show that if 0 <y<1, and Y ~ N(0,1), we have that 9 6 3 P\Y + %(x² – 1) < =] × + (V +1). -

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Subst ), we nave > Zn-h 1 kn+1 h=1 = ) kin-1 Vn | 2 EWn-p 1 = Vn-1. kn p=1 Vn+1 Wn - H Hence, we see…

A: given equation (5) wn+1-μ∑p=01wn-p=∑h=12zn-hzn-ε  and  zn+1-ε∑h=01zn-h=∑p=12wn-pwn-μ also equation…

Q: Which of the followin represents the system Rellability? O PIAUBUCI- PARRPC O PIANBACI O PIAUBUCI O…

A: Here the provided system has three components connected in series :

Q: mTQ mOR U 44 mTS T. 25 S. MSOR MRQT %3D

A: Topic:- geometry

Q: Show that if A and B are similar, then AT and BT are similar.

A: Let A and B are similar matrices. By definition of the similar matrices.  The matric A and B are…

Q: et §, ŋ, o be real numbers and consider ctors (1,5,§³); (1,ŋ,n³); (1,0,0²). Determine e conditions…

A:

Q: If f (æ, y, 2) = x²y – 3yz + 2æz* , then f (2, 1, –1) is 2 O 5

A: If f(x,y,z) =x2y-3yz+2xz3, then f(2,1,-1) is

Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

A:

Q: Let a = (– 1, 5, 0) and b = (3,0, – 1). Find the component of b onto a.

A:

Q: If u = -2i - 2j and v = 6i + 7j, find u - v.

A: We can solve this as follows:

Q: . Prove that, e²i = e²1=22. ez2

A: Let,z1=x1+iy1z2=x2+iy2z1-z2=x1+iy1-x2+iy2=x1+iy1-x2-iy2z1-z2=x1-x2+iy1-y2…

Q: Let S = {2x, 1 – x, x² + x – 1,x + 1,x – 2}. Then %3D P3 P2

A:

Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: Show for Re(z) > 1 -dr = r(2) ((2). %3D et - 1

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.