A.o/ prove haT cosh(zi42e)=Coshzcoshai+sinh2,Suhze

Q: Ao/ prove JhaT cosh(2i4ze)= Coshzi coshde + Sinh 2,Sn hze

A: The main objective is to prove that coshz1+z2=coshz1coshz2+sinhz1sinhz2. The following formulae are…

Q: If u = x² cosy+ ye", where x = s+2t and y = st, prove that ди ди 2- (s – 21) (x siny- xye – e"). -…

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Q: Aro/ prove JhaT cosh(?14z)=coshzi cosh2.+ Sinh2,Sinhze Hiw/ It isinh Z = siniz, prove That: %3D…

A: Note: As per bartleby guidelines for more than one questions asked only one question is to be…

Q: 8. If r = sin (ƒ(t)), ƒ(0) = pai/3, and ƒ′(0) = 4, then what is dr/dtat t = 0?

A: Chain Rule d(f(g(x))dx   =   f'(g(x)) . g'(x) We have given r = sin(f(t))        f(0) =  π3  ,…

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

A: we have to find the general solution

Q: Q Find the deriva tive using the de fini tion (x)

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Q: Lw(s) ~ 1 – Show that 1 is MTTF where

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Q: 7) The diameter of the base and the height of a closed right circular cylinder are measured, and…

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Q: Given the integral csc²u=cot²u+1 1+ cos2u 2 1-cos2u 2 sec²u=1+tan²u B cos²u=- sec (x-1) tan4…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: Generate the points on the Elliptic curve E: Y? = x° + 23 over Z7. Compute 25 and 35, where S is (6,…

A: To find - Generate the points on the Elliptic curve E : y2 = x3 + 23 over Z7. Compute 2S and 3S,…

Q: Find the limits in Exercise

A: We know that, limx→∞sinxx=0            ⋯⋯1limx→∞ax=0            ⋯⋯2      for any constant a

Q: 1₁ -1.2 - St 0 √x sin ex dx

A: Given :   I1=∫01.2xsinex3dx

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: -W : By the same way, prove that g Z sinWo sinw.k Z -27 cus Wo +1

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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: šiven r,(t)=sin5ti +cos 5tj+\t+2k and r,(t)=5ti+2k , calculate "[r, (0) •r, (0)]. dt

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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: L[cosh(@ot) u(t)], C[sinh(@et) u(t)] and L[cos (@t) u(t)

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Q: as Let ĝ +sinh (z?) - ji = 27 where w=f (x,y,2)- %3D Find 2 nd JW and au

A: In the given question we have to find the partial derivatives of with respect to x ,y and z. here we…

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

A: Straightway proceed to differentiate both sides,

Q: 9/ Evalaale he fillow inlag rad S sin'z asx dy x CoSx

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Again differentiate with sespect do 'x get we A cost- B Sinz A cosz + BSiny) { from @ d +

A: Please refer the attached image for complete solution.

Q: 2 Given: JK || LM, I| KM Prove: AJKL AMLK K

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

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Q: Derive the D'Alembert's solutiojn to the following Cauchy problem Un = Uxx, - 0 0 u(x,0) = e,…

A: Consider the Cauchy problem, utt=uxx, -∞<x<∞,  t>0ux,0=e-x, utx,0=sin2x, -∞<x<∞ We…

Q: Show that the following cosh 3 (0,0) r(3,5) x² y?. (10xdx +6ydy)

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Q: *Write ascript Ble for tayler polynamial of order 5 foU= LnX near Por where the out put is ycl-15).…

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Q: DIfferentiate the following fuh ction with respect to K In X %3D Sin a

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Q: 3 Evaluate the gwen tri ple in legral. xsiny dy dz dx

A: Order of triple integral dydzdx

Q: Classify the Stries as nbsolurehy linvergen ti Condibinally lonvergent, divergent 18 K Sin

A: First we  recall some definition-1)  p-test for convergence of series ∑k=1∞1(ak±b)p :     A series…

Q: -8. AB is tangent to to OC at point B. E 6. MZCDA - 8. MZDBA = 32

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Q: find following timia the exist Pim 1t y ス→。 fim (2'tyo) In (xty?) ()

A: For a function f(x) the expression limx→af(x)=b means that the function tends to value b when domain…

Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

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Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

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

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

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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: Use an appropriate local linear approximation to estimate the value of co Gos(29°) &

A: consider   f(x) = cos x

Q: TL 3. sin²4ycos²2ydy T

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Q: Find the Laplaće Trans forh 3) f()=1 cosh(at)

A: Given: ft=t coshat   As we know from the property of the Laplace transform. Ltnft=-1ndndsnLft   And…

Q: Let fln) = e cosx, sx %3D Express your answers in exact form.

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

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

Q: Prove that d/dz sin(z) = cos(z) using Cauchy-Riemann equations

A: Cauchy-Riemann Equation- If f(z)=u(x, y)+i v(x,  y) is analytic, then In particular, These…

Q: by the pious They satisfy the Cauchy-Riemann equations, they satisfy the Laplace equation sy sx aly…

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Q: 3. Given: KM 1 JL M IM, LIMK= LLMK Prove: AJKM = ALKM M.

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Q: U + zu, =z u(z,0) = sin(87z) cos(90r). IER, t> 0,

A: Solving given partial differential equation by Lagrange method. Rewriting partial differential…