if w= /x2 + y2 + z2, x= erCos0, y=erSin0, z=ee prove that aw/ar= e?r/w and aw/ae = e20/w

Q: 3. Given: GH DE Prove: AECUT ATDR

A: Given: From the figure, The line segment GH is parallel to the line segment DE. Since,  the…

Q: evaluate using the appropriate method or combination of methods.

A: Let,

Q: Let X N(u, 1) of size n. Obtain UMVUE for u.

A: Given that  Let X  N(μ,1) of size n. Obtain UMVUE for μ

Q: 2. Using OLS or any other suitable method, Prove that E(ß1) = B1 E(ßo) = Bo

A:

Q: GIVEN: RT = RV TS =VS PROVE: ZRST = ZRSV

A: Given that: RT=RV, TS=VS

Q: Solve the following first-order linear DE's. y' + (cotx)y = xcscx, y = 1

A: we have to find the general solution

Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: evaluate the in! integ ral if u = 16+ ex then e* V T6tex dx = ( Jü cu=(ile %3D

A:

Q: 12, GIVEN: JKI KT, ET 1 KT, KV TL, IL EV. PROVE: AJKL AETV. T.

A:

Q: Find Oz! ôu and dzlôv for z= 4e" In(y), x In(u cos(v), y=u sin(v) at the point (u,v)= (2, 7 / 4).…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Let Z, = 2 cis 30° Z2 = 3elli %3D Z = In (1 + i) If Z = Z,Z, +Z3 Find IZ.

A: First we convert all expression into a+ib form then make necessary calculation.

Q: y" = 5sin (2z) denkleminin çözümü aşağıdakilerden hangisidir? %3D

A:

Q: 2. Given: XW XY, HA I WY, KB 1 WY Prove: AHWA ~ AKYB. K Y.

A: Given data is : XW¯≅XY¯ Therefore ,  ∠XWY≅∠XYW∠XWY≅∠HWA∠XYW≅∠KYBTherefore,∠HWA≅∠KYB     .....1…

Q: 6. If y = In(r+ 1) In z then what is dy/dr? %3D

A:

Q: 1 prove that | e -ym dy = mr(m) -ут

A:

Q: In r dy If y , then is cosh z

A: Straightway proceed to differentiate both sides,

Q: Let Use Euler's Method with h=.5 ond (X,Y.) -(1,1) to estimate (a, y )

A:

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: 10. Given: YX = ZX WX bisects ZYXZ Prove: AWYX AWZX

A:

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

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

Q: 2) Given: ZRAL E LYAL, ZRLA LYLA A Prove: AR = AY R.

A: Explained below

Q: H.W: if w=√x2 + y2 + z2, x= erCose, yerSine, z=ee prove that aw/ar = e²r/w and aw/00 = e²0/w

A:

Q: 11 u Co,t) =1,u(1.t)1,ucx,o)=since)

A: Given: ut=α2uxx,  0<x<1,  t>0 u0,t>1 ,  u1,t=1 , ux,0=sinx The general solution of the…

Q: If fufe.- fuave diffa Veubable at'xo eI fuave difle Veubable at Xo eI Pi:I R,ists-n prove O…

A:

Q: 4. Let z = x2 + y³, x = 2st, y = s - t2, s = u", and t = u sin w. Compute for Oz ду and дw ди

A: Let z=x2+y3, x=2st, y=s-t2, s=uw, and t=u sin w.To compute for ∂z∂w and ∂y∂u.

Q: prove: sE121y |Re(z)+| Imcz)l

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: S 1.Prove that L (coswt) = %3D s2+w2

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: If z = e4x + y In(x), find zx and zy. Zx Zy %3D

A: 1) The given function is: z=e4x+ ln(x)

Q: 5.) Set up integral the out side the cirele e

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: △-マ= △Y AV MS A(4全)+) 山natn- fnbun %3D an)

A: Property a: ∆-∇=∆∇ Note that, ∇fx=fx-fx-h∆fx=fx+h-fx

Q: Derive pz, 192. sjt9z, Hz(t), ez, čr: directly , if X ~ U (0, w) with r = 20, n = 30, w = 100. %3D

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: (7 In GL(2,Z,), det O 35

A: Option 1 is correct.

Q: 2! ODEV de venten egrimin yözyım alonını bulumz eksni etrafioda döndənuess te duçon

A: A=integration a to b y(t) x'(t) dt

Q: Then, we assume that Wn+1 - H Wn - u kin+1 kn 1 2 E Wn-p E Wn-p p=0 p=1 (6) Zn+1 - € Zn - E Vn+1 Vn…

A:

Q: 10. Given: YT = YP, LC = LR, Proof ZT= LP Prove: CT = RP R

A: Consider

Q: 3 Prove Prive that d tin'u e I du

A: As we now the identity tan2(x) +1=sec2(x)

Q: 1 (aw C. Ifw=f(x.y) and x=1. coso, y=. sino. Prove that

A:

Q: 6. Given: ZR= ZZ CA= YA Prove: ACRA =AYZA Y

A:

Q: 2. Give the condition which ensure that |ez| < 1 where z in C.

A:

Q: See image below.

A: Given that the tangent line touches the curve y = f(x) at (4, 3) passes through the point (0, 2).…

Q: Given: ZR= ZZ C R CA= YA Prove: ACRA =AYZA Y

A: Use the congruent postulate and prove that both triangles are congruent.

Q: Given: ZSUY = ZNUY ZSYU = ZNYU Y Prove: ASUY ANUY

A: Given that         ∠SUY  ≅ ∠NUY        ∠SYU ≅∠NYU Here we have to show that               ΔSUY ≅ΔNUY

Q: e){x*,x%,x}on(0,)

A:

Q: if :z = cos 0+isin 0 2z² z²+1 prove that: 1+itan 0

A: