Given: AKLM, KL = LM, A E KM , BE KM, AK= BM Prove: ΔΑKL ΔBML, AALB is isosceles L M A B mZAKL=mZ by reason

Q: et a =i- 2j + k and b= 2i+j +k. Show that la + b| s lal + b|

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies…

Q: Find the following antiderivative. ey dy (ev - 3) Answer:

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Q: find c, and c2 so that y(x) = c1 sin x+ c2 cos x will satisfy the given conditions. Determine…

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Q: a. Determine the temperature u(x,t) in a rod of length L, given the following conditions: aul au =…

A: Given

Q: Let / = xcos (x) dx. The approximation of / using the two-point Gaussian quadrature formula is:…

A: Idea: Find the vales which involved in two point Gaussian quadrature formula. substitute the values…

Q: ECR 9s a sordon Area cvol CE) =V0ICE) ean Yntegraole on E Sand 主 After thet desariptron. 1ntegroble…

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Q: Given: FE || HG FH EG Prove: %3D HD GD F

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Q: The functian gi (E) rs a indicated solutio u of the given differeatlal equution Use the methed ol…

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Q: If the density of ihe frame element (shown in the figure) is given as plr.y)= b+cy where a=7, b32.3…

A: Given the density μx,y=b+cy where a=7, b=2.3, c=2.7  and

Q: Aşağıdakilerden hangisi e tan ydz +dy = 0 diferansiyel denkleminin çözümüdür? %3D O ày = sin (e* e…

A: We have to solve the given differential equation  It is obvious that given differential equation is…

Q: 3.1 Use the Cauchy integral formulas to evaluate the e cos z I. 7(2: – 3m) where C is the region…

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Q: Given that y, y, be a fundamental set of solution to the D. E. (ey)' + y + y = 0, x > 0 If the…

A: The solution is given as

Q: The governing PDE: y =cy, 0<x<L subject to the BCs: XX dy = 0, y (L, t) = 0 dxlx=0 and the ICs: dy…

A: Given condition does not satisfy the solution. Please check it first.

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

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Q: If the density of the frame element (shown in the figure) is given as p(x, y)=b+cy where a-9, b-1.2…

A: Given  Density μx,y=b+cy Where a=9, b=1.2, and c=3.1

Q: Under what condition(s) the uniform stream V = Ar? sin? 0 and the dipole Va = u sin 0 placed along…

A: The given equation of uniform stram is Ψ=12λr2sin2θ                             (I) The given…

Q: Given ODE ydy/dx + (y^2)*cotx = cosx. Determine the type of ODE. а. Separable O b. Bernoulli O c.…

A: Given: ODE: y dy/dx+ (y^2) *cot(x)= cos(x)

Q: Find the Wronskian of a set of solutions {y1, Y2} of the Bessel's equation 2?y" + xy' + (x² – v²)y =…

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

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Q: Given DE Cauchy-Euler xy +2y In x, x>0 what is the particular solution?? II. -In x+x I x II. IV.…

A: Given that : x2y' + 2y = ln x

Q: When the group of terms in a first-order DE contains y dx - x dy , the following integrating factors…

A: For the given statement

Q: Using the computed MGFS, derive the E[X] and V[X] 1. Bernoulli Mx(t) = e0t(1 – p) + eltp = e'p +1- p…

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Q: Compute Lf (P) and Uf (P) for the indicated partition. NOTE: Type pi or use the calcPad symbol for t…

A: calculate the Lf(P), Uf(P)

Q: find: Seas WTT cos Witt dt Sinnt dt findo S

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Q: 3.33 Let D = 2pz'a, + p cos´ þa,. Evaluate (a) $D· dS (b) J,V· Ddv over the region defined by 2 < p<…

A: Given: Let D=2ρz2aρ+ρcos2ϕaz a∮SD.dS Here, We know that surface vector dS is defined as…

Q: MLx,y) dx +x(x,g) dy. 1 chek the Coudi'tied deu Jy dx ® intey.coke MWirit X reyarding y as coustunt.…

A: SOLUTION

Q: Evample: y-xy, Yu)=1 and h:o.l a pproximale Y(1 3) using improved Euler Muthocd.

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Q: Given: dyldx = (x^2 + y^2) / xy. What is the degree of the homogeneous DE? The given DE is not…

A: We have to solve

Q: The modified Bessel function I,(x) has the integral representation 2 (7/2 1,(x) = n Jo cosh(x sin 0…

A: We will use simpson 13rd  rule  ∫abf(x)=△x3f(x0+4f(x1)+2f(x2)+.......+2f(xn-2)+4f(xn-1)+f(xn)

Q: -3 Let A = -4 -3 -1 9 Define the Lnead teanofamatia T:IR²> IR° by T2)= AR. Find the inages of ů= [oI…

A: Put the value of u and v in the definition of T

Q: A ) find me heneral solutron and the Particular solutim S at isfying for the inidraI condition X"…

A: Answer

Q: 4. Let v be the measure on (R, B(R)) which has the density 9(z) = e, rER, with respect to the…

A: Given  Let v be the measure on ℝ,Bℝ which has the density  gx =ex , x∈ℝ with respect to the Lebesgue…

Q: terms HK K . J 12 in

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Q: (4) Find a leading order inner, outer, and composite solution for eu" + au' – au = 0, 0<r< 1; u(0) =…

A: To find- Find a leading order inner, outer, and a composite solution for εu'' + x2u' - x3u = 0, 0…

Q: of the ne Joint constant on the region (x, y) : x > 0n yleql n-0.5 < x - y < 0, sho in the image…

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Q: find c, and c2 so that y(x) = c, sin x+ c2 cos x will satisfy the given conditions. Determine…

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Q: find the Solw ion to the differe n tial equatian dz = 4G 4te? that passes through the origin %3D

A: Given: dzdt=4tez, the solution curve passes through origin.

Q: Given: ARST with right ZRST; mZR = 30° and ST = 6; T. N ZRST is trisected by SM and SN 30° Find: TN,…

A: In triangle RST, &lt;RST is trisect by SM and SN. Therefore, the angle ∠TSN=∠NSM=∠MSR=30∘ Then,…

Q: R Given: RO = SE, RO || SE Prove: ZR LE E

A: First, we will show two triangles congruent .

Q: 1) In rectangle JKLM, JN = x + 3 and JL = 3x + 1, select all that apply. %3D %D K N M A) NL = 4 B)…

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Q: Y Z H K Given: YX = HX, mZY=mZH, MZZXY=mZKXH Prove: YZ = HK er: AZXY = A by reason

A: Using , Angle - side - angle test,

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

A: Consider

Q: . Given: GK 1 LJ,HK = KJ GK = LK Prove: 2G = ZL G

A: Here we have,  Given :- GK⊥LJ, HK≅KJ        GK ≅ LK  Prove:- ∠G≅∠L

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

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Q: 4. Given: AC DB, AB = DC Prove: < A E<D C 1. AC = DB 1. 2. 2. 3. 3. The Reflexive Property 4. A ABC…

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