(b) led BC be The Sel all brunded fontians fi [n8→R eqwipPel with metrie d - Shoe hat c Co Can be afe in B[»].

Q: 4. Show that z = a' Zax if z = e-al cos(x-at) %3D

A:

Q: Evaluate fSS, 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: we need to evaluate the triple integration. For finding the solution first we will find the limits…

Q: 2. Golve the pollowing uaing methods for non- exad ea vations, Jintar eouaton or Bernonlli's es…

A:

Q: n Ix]a Ex Sxt] Lb ee calcalate the expuliond faz s in Dimear geggelkion hion ee and. b. analys

A: Given,  the linear regression analysis matrix equationn∑X∑X∑X2ab=∑Y∑XYWe need to calculate the…

Q: Evaluate: S (In(2æ – 1) – (5) + 25 ) dx - Limits: [1, 6] Using Trapezoidal, n = 30

A:

Q: Show that cl S = SU(Bd S) %3D

A: LetS⊆R, claim: closure(S)=S∪Bd S =S ∪ S' by definition bd(S) ={ x∈ℝ/x∉S° & x∉(ℝ-S)°} let  x∈S∪S'…

Q: 3 Evaluate the integral de using the two-point Gaussian quadrature rule O -|4 1035 N/N N/W 끔

A: We have to evaluate the integral ∫−3311+x4dx by using two-point Gaussian quadrature rule. Here,…

Q: Hor what salue of e dois th. a tollowng matrex haue an Tnverse Q. 2. 2.

A:

Q: Consid‎er a la‎mina t‎hat is in the fir‎st quad‎rant, ins‎ide the ci‎rcle whos‎e equ‎ation is x2 +…

A:

Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: dy is If y = In then cosh z

A: Given,          y=lnxcoshx

Q: If Z= cos20+isin 20 prove that = sec² 0 %3D (Z +1)

A: We have to prove L.H.S = R.H.S

Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

A:

Q: alue of the pur C: |z| = (:-1)(z-

A:

Q: Q3: show that: S yi va -y dy =na² where a is a positive constatnt

A:

Q: Prove that %3D 3 and hence. deduce that. 3--(n+3)Jn43+ (n+s)Jnes to 2.

A:

Q: 4. If x = cose + isin0 & 1 + V1– a² = na then prove that 1+ acose =(1+ nx)(1+) %3D 2n

A: Given, x= cos θ+i sinθ and na=1+1-a2      To prove:  1+a cosθ=a2n(1+nx)(1+nx)       Let  x=…

Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 0/ the Valke of & that makes the Velteof the fumetion 2.

A:

Q: OVESTON Prove that A is inveitine if at0 and at b l Gind The pivos 9 A %3D a a

A:

Q: if JERLA.b] and it hex)- J(x). except for finite mumber of Paint in Cab] then that he Rlab] prove.…

A: if g ∈R[a,b] and if h(x) = g(x) except for a finite number of points in [a,b] then prove that h…

Q: 12 Deter mine the hunchon fbc) 13 conhintdeus at loe Birked 1S Pes) Conhinaus at oc =0?

A:

Q: and let ah -(-1'I Let In tan (a) for n = 0,1, 2 Intz 1) Show that In + Io+ り+! (-1)" for nal an-…

A:

Q: Find to the the equation du green funclion corresponding pula)=fex) conditions U(o) =0 with and…

A:

Q: (2) O show that you Y2,43, and Yu are solutians to NOTE : Geueral Solufion

A: Thanks for the question :)And your upvote will be really appreciable ;) Solution is provided below,…

Q: 1) Prove that Ym,n EN such thert m¢ nt = n<m using the princdple of in duction!

A:

Q: The DE : y = e-/Y is seperable Select one: O True O False on

A:

Q: 1. Show that sinz is unbounded on C and lyl <|sinz] <ebl z=x+yi € C. for

A: Given:         We have to show that sinz is unbounded in ℂ and y≤sinz≤ey   for z=x+yi ∈ℂ Function…

Q: In ARST (not shown), mZR 45° and mZS 64°. Find m ZT. %3D

A: Given that, In triangle RST, m∠R=45∘ and m∠S=64∘ To find:

Q: dy If then de impossible to calculate O In(æ)

A: 7.  slope of tangent line  slope at point ( 4 ,2 )

Q: Prove that E (2s+l)=3n" whenever 'nisa psitre r'nisa pisitive intger. 32.

A: Given that,      ∑j=n2n-12j+1=3n2, n is a positive integer

Q: 1f itwas x25ect, yatunt prove Thut dy

A: Simple derivative

Q: Homo: )g + 2) if the initiel cond. Sor yro)=1 number 1) 1s and yC") =5, 15 the ODE solvasle ? why!

A:

Q: dy then In z is If y = cosh z

A: Without wasting any time, any further, differentiate the RHS to get your answer.

Q: Compute algebraically the resultant of the following complanar displacements: 100 N at 30°, 141.4 N…

A:

Q: If utt 4ura u(x, 0) = e", u4(x, 0) = 0, u, Ux → 0 as x → ∞, then u e* cosh(2t) O e2 cosh(4t) O e2¤…

A:

Q: inlyralf Evaluste the +2) ě Snz.dz whre CiI21= 1, by any tw o methode and compone the resalt.

A:

Q: to to TD)=e sint i te cosi cosy %23 ek Hongehtia componen't 5 of acceler Find the and hormal any…

A:

Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

A:

Q: 7 the n ya In Cx? _y?) Do not Equatio InCx-yリ Do not check modificd Laplace

A: This is a problem of partial and Laplace.

Q: 6. Which of the followg quti dy (a) de dy (b) de () +2ry- (e) (4) Al of the above

A: It is given that There are four differential equations option.

Q: Determine Z- Trans furm in cludig vegiva of con vergence in n 7o メ(At n<o

A:

Q: (c) Evaluate d Gosh: where C: |z| = 2 by using Cauchy's residue theorem.

A: Given integral is ∮C dzcoshz;   C : z=2 As, we know  If z = x+ iy then z =x2+y2 As given that  z=2…

Q: 1 And the radios of Co for the pover Serie for the Power Serie vergence 00 xh (2"+1) (n?+1)

A:

Q: 3. Gien that F cxy) = s Can servative find putantial -> functin fo Ě a

A:

Q: Approximate the integral for each of the following.

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.