Prove that du Inlul + C where n= -1 u

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

Q: Prove that c(u × v) = cu × v = u × cv.

A:

Q: Express In V16 in terms of In 2 and/or In In 16 =[ (Type an exact answer.)

A:

Q: Prove that S3 = Inn(S3) = Aut(S3).

A:

Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

A:

Q: Prove: Given that ll Xllo sl1x|1, <vñ lIXloo for XEL". 2 Show that for

A: The matrix p- norm = operator norm                            ||A||p = Maxx≠0 || Ax||p||x||p…

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

A:

Q: Prove using the IVT,  √2 exists.

A: To prove using IVT, 2 exists.

Q: Prove in detail that Q(/3+ v7) = Q(V3, v7) %3D

A: According to guidelines we solve one question.

Q: - check the exi's tence of limol of the Lunetiom 41n at X= 1 %3D 2X+/ こ Xラ-3

A: To check: The existence of the limit of the function. Given: The function is fx=2x+1     -1≤x≤1x22-3…

Q: Show that (hcs) de = 1 In 27 e %3D 2. 20 (ite")(2 + 1)

A: To show: ∫0ln 2e2x1+ex2ex+1dx=12ln2720. Concept used: Integration of ∫1vdv is equal to ln v+C.…

Q: 1S prove that (a + b) = a² + b².

A:

Q: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

A:

Q: Provide a left-hand-side, right-hand-side proof of the following: dt

A:

Q: sent that by a positiv ntity N(0) is 2.

A: Given as, dNdt=?N0=?

Q: 4. Prove that 3i² + i = n(n+ 1)?

A:

Q: Use Meithemeıtical Incluctionn to prove that for ail W with nz 2 イナ·ナ 1 1t 2-3 1 t 3-4 0-1 1 2…

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

Q: 1-a*** a zi i. La 1-a

A:

Q: 2. (– 13 + 3i)31

A:

Q: Prove that ||A||1 = max1<j<n{£", |aij|}. %3D

A:

Q: Prove that for Vr > 0, s > 0, √√r + √√5 ± √√r + s r, s

A: # As per the guidelines we are entitled to solve one question at a time please resubmit the other…

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

A:

Q: lar, let m = 2 and n e of A and B such that

A:

Q: Prove that (S ⋂ T)c = Sc ⋃ Tc and  (S  ⋃ T)c = Sc ⋂ Tc .

A:

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: Prove that • I %3D

A:

Q: Q: Prove that tim x"- a" %3D

A: we have to find the limit of the expression

Q: Prove: For allintegers aandb, if a|b then a² |b²

A:

Q: 1. (10 + 7i )®

A:

Q: 12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

A: Given that Qx=12π∫x∞e-t22dtTo prove:1. Q-∞=12. Q-x=1-QxSolution:we know that ∫-∞∞e-x2dx=π       ...…

Q: prove that dv v 21/12 الله duz 2 2

A:

Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

A:

Q: 3. If u= (x+y +z') , prove that +y

A:

Q: Selve the fallowing euler Cauchy.eg:using net hed of variation? O xy.3x y+ 6X.y-6y= Xs,in X 2. %3D

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

Q: Prove that ||A||1 = max1<j<n{E1 |aij|}. m

A: We will be using the definition of norm. And will verify that the formula given for ||A||11 is…

Q: Prove that (A = B) where (A = ax + ay + az) and (B = bx + by + bz)?

A: Given- A=ax+ay+az and B=bx+by+bz To Prove- That A=B

Q: Show that U. AS cuhere N= {3 unaluralnun %3D

A: To proveG={N,*} is not a group under binary operation a*b=ab where a,b∈N

Q: show that whe ther RERiemman L-,1} yot

A:

Q: Prove that (i) Res (tan z, r/2) = - 1

A: Here,we have to prove that Res(tanz,pi/2)=-1

Q: Let X= Ucy) out of standard er dere d unierm and Y= Uc5) out of

A: From the given information, X=U(4) out of 8 standard ordered uniform and Y=U(5) out of 8 standard…

Q: (a) Prove that if f e C (R²) then a (af af %3D

A: This is a problem of the calculus of several variables, higher dimensional calculus.

Q: show that fo=Ixl is Conlindalus everyuhere

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: what expressi on is equivaient to this. (n-a)!

A: n!(n-2)!+n=n×(n-1)×(n-2)!(n-2)!+n  [we use the idea of factorial]=n(n-1)+n=n2-n+n  [distribute n]=n2

Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

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

A:

Q: Let A + 0 and ACB. Show that NB CNA.

A: Given :A≠∅A ⊆ B

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.