19. Find. thedivacgence.and.cuv.4 the followiny vecter. field: + y.ek. xe .+.y.e.k. b. Fs sin.+8.cosy.j.+z.k. a..

Q: Find əw/ar and aw/as when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs.

A:

Q: Hw. Determine t posdise red nd d. Sinx a x 2 In(X):07, de. os, Xa. 2, 3-tealion by e position fndla)…

A: NOTE:- By bartleby rules, only question (1) is answered

Q: 1. AB and AC are tangent to OP. Find AB. 4 3y +4 B 1ly

A: here we will find AB,

Q: ase implicít diferen tia ton to fin cly I d X

A:

Q: If f is Caib], ab solute maxinum continouus on then f attains valye fcc) and an ab solute mirinum an…

A: Que: Ans : Given         f(x) is any continews function on [a, b]          Let f(c)  be absolute…

Q: show that Itu X tvl = Oe sinu far a sphene of a radus a depined Panamet ui call y by 9 cU,V) =a…

A: Given: Parametric form of a sphere with radius a…

Q: Oct 13, ATIO ANYW.If m/T 37 and m/O = 55°, find mY. %3D %3D mZY be determined. Submit Anawer

A: Note: As per company guidelines we are supposed to solve only 1 question. So, kindly repost the…

Q: 2) usins Culcuulus for parametrre curres. Show trat the aren of a idis e of radius Ris siren by…

A:

Q: Show that coshr + sinh r = e" and cosh r - sinhr = e. Hence, deduce M MOUTMOUT cosh? a – sinh? r 1.…

A:

Q: r próducts, šó thát théy indeed. They took an a ts to explore the claim -ies randomly.

A: Let X be the random variable such that the life-length of the battery producer company fabricates.…

Q: Find the first and second deriva tives sp dt

A:

Q: (b) Evaluate Vsin r cos" rdr=?

A: Using substitution sinx =u evaluate integral

Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: find all soutions of sec? (x)=VZ on the intorrel Os BK27T

A: NOTE: Refresh your page if you can't see any equations. . take square root on both sides

Q: +tlnt +tInt If x=sin and Jy= = cos prove that y"=c constant +eco te'

A: Given: x=sint2+tlntt4+etcost and y=cost2+tlntt4+etcost

Q: Compule he an Curvc given aM byO x= and ye 3tcos(t) 'from DLtL engh ot M pacbmeter 3t Sin (t)

A:

Q: O! Find tue indefinite integrel by q meleing tue febstelion d=4 Sin o. 2 *7 16-x"

A: To determine: by substituting x = 4sinθ

Q: If h(z) = sin (z) + sin(z°), find h'(z). a. 6s in (z)cos(z) +6z°cos(z°) Ob.6cos (z)sin(z) +…

A:

Q: let Po)- tar'c) + tant (L). show that Plx)=C,where cis a constant and then Aind C

A:

Q: Ở. verify that y10) is a constont soluion b. Find all Solurions to DE C. Find two dirrerent…

A: According to the problem, we have

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

A: Straightway proceed to differentiate both sides,

Q: Eolre the following DE uing laplace trancfooy y" + 2y' ty = 0 when ylo)= 1

A:

Q: dy If tan(ry) + 5 = ry then show that dr? 2y

A: Differentiation two times

Q: M || N L K J SAS SSS HL AJLK AMLN AMNL= AKJL ALNM ALJK

A: Consider

Q: 2- Verify the following identities : [Sinh( u+ v)+ Sinh(u-vl a) Sinhu.Coshv = Coshu.Cosky =-…

A:

Q: Et eNcise the fo is linemr OTDE which of eii> +* - 1ogx dy

A: Given some differential equation. We need to find which of the following is linear differential…

Q: S sin³x /cosxdæ =? O a. ( ?cos'z – cosz) vcosa + C O b. ) +c rt), O d. (cosr + cosz ) /cosz + C C.

A:

Q: Which of the following areas are equal? Why?

A: 1.

Q: find the devi vative of the given fuction with ys pects t8 oY. 3 PEvaluate the tollow owingintgval!…

A: We have to evaluate the following derivative.

Q: Let w = x*y cos s(4z). Find the following.

A:

Q: 27 dr = iex+ h where a, b> 0. Prove that

A: Prove that , ∫-∞∞e2xae3x+bdx=2π33a23b13

Q: Lose Tayor's theorem to obeah amepper band fer the enrar of the Mthrs approximation gNen a…

A: Given data: c=0 sin0.5≈0.5-0.533!+0.555! Using Maclaurin series expansion: sinx=∑n=0∞-1n2n+1!x2n+1…

Q: ex: E valvate the tollowing limite by uesing L'Hopital Yeele Sメ+ら DLim メー2 x²-4

A: We have to find limit

Q: L{e¬at cosh bt} = %3D

A: The given function is e-a tcosh bt. The main objective is to evaluate the value of Le-at cosh bt.…

Q: 1. Find fr fy and fry if f(x,y) = y* + x?y + In xy.

A:

Q: Nhat is Duf at P(1, 1) if f(x, y) = sin(x - y) and u=i-İ? 3 O 5 O 3 4 O 10 9

A:

Q: 4. Evaluat the fellowing usingg Simpson's ţ Fulos hd A-j°x?dx; Aus.(8.667) BaS Z x SAns. (8.7159) .…

A: To use the simpson (1/3)rd rule

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

A:

Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

A:

Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: EXpress ume trig fatIOS as TTACCTIOTIS TII Smmpiest teTIIS. 16 R. V33 17 sin R = Cos S sin R and cos…

A:

Q: Prove the following hyperbolic trig identity. cosh(x + y) = cosh(x) cosh(y) + sinh(x) sinh(y).

A: cosh(x+y)=cosh(x)cosh(y)+sinh(x)sinh(y)

Q: O lwhich of the following N not fe BV[q,6]? *+メ+, Xe (りり L) Sin (), xe (T, 1) e) x Sin ic , xe (o,…

A:

Q: Find ∂w∂s and ∂w∂t when s = 1 and t = 2π for w = xy + yz + xz                    where x = s cos…

A: Given: w=xy+yz+xz where x=scos(t), y=ssin(t), z=t at s=1 and t=2π

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

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

Q: I| Name the mathe moticion aho is credidet sith Hhe cefine mand of the co When acopt of fundion.…

A: Peter Gustav Lejeune Dirichlet ( 1805-1859) was a German mathematician, a student of Gauss, was…

Q: aw and ar dw O Find if as

A: In this question, the concept of the derivative is applied. Derivative  A a derivative is used to…

Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: B) Define Hthe gevere preduct Ĉ ofi the truo wacderes Ä above. cros

A:

Q: ven the SRF:Y- BHPXAU Prove that B, Rind B2 estimalors of true fi and Bz are unbiased

A: We need to prove that the  β^0,β1^    are the unbiased estimators of    β0 and β1 In population…