9. My Notes 2 +12 Dc t22 t20 z W tandard form. Oz 1 Ls 2 t 12 36 t2 t2 z^+207 t100 - 1 +36 +10) 50 137 18 (et61) 2 +2102 + 50) 137 LD 2 Lp (act6e t18) t 137 (z102 +50)=2

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" +…

A:

Q: 3. RT = 22 and US = 18 VT = UV = S RS = %3D U T.

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Q: 12 3. If u lx + my, v = mx-ly, show that ди 4 + m

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Q: find in Euler's way 2x ! y(0.1) de y(0)=1 , h=0.05 y' = y -- y

A: The general form for Euler's method is given by yn=yn-1+hfxn-1,yn-1.

Q: Thm l1.2 Let (Csul be a (1) #(Sm.) sit Sue =s amolN ( Isu-si <E} is arfinite VerO, (2) If Csu) o…

A: Given Sn be a sequence. (1). To prove that ∃Snk such that limk→∞Snk=S⇔n∈ℕ| Sn-S&lt;ε is infinite for…

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: 17. AABC - AXYZ (not shown). If AB = 5, BC = 8, XY = y, and YZ= 2y – 3, find y. 17. y = P Type here…

A: We have to find y from the given information

Q: 2. If mZMKL = 83°, mZJKL = 127°, and MZJKM = (9x - 10)°, find the value of x. %3D %3D %3D J MA

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If r = (3 cosh 2t)i + (3 sinh 2t)j + 6tk and t = In 2 then اخترأحد الخيارات 8. 16 and T= 867 O K =…

A: Curvature   k=32867=0.0369088811995386.

Q: /9 – 2° dz Integrate: z4

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Q: 1 Using Convolution theorem, find (i) L (s+a)(s+b),

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Q: x*y" + xy'+4y= 2x Ina

A: Cauchy linear differential equation

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

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: 2. Show that the Euler-Cauchy Equation Iy" + axy + by = 0, 1+0 can be transformed into the constant…

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Q: = e. In(16y), then fzz i 30 e5z In(16y) 25 e5z In(16y) 80 esz In(16y) 25 e In(16y)

A: We have to choose the correct answer from the given options according to the given information

Q: 3. From Eq. (1), deduce that U2n-1 2. U2n 2. %D %3D n 2

A: 3

Q: 4) shao he eg Y+ oy-=3 3x-y422=1 are consitent folie thn 2l-2y+32= 2 Argoninl malrie of fa.B) ー1 3…

A: Given

Q: What is G = xy ax – x²y ay + 2y az at B(3, –4, 1), expressed in SCS?

A: Given: G→=xy ax-x2y ay+2y az -----------(1) Where, Bx,y,z=B3,-4,1 --------(2)

Q: Sm Vx dx

A:

Q: Are these equation separable 1.s2+ds/dt = (s+1)/st 2.dr= b(cosx dr+ rsinxdx) 3.y'=ye(x+y)/(x2+2)

A: The objective of the problem is to determine whether the given equations are separable. A…

Q: HiW f(x, y) = x +2xy+y² +3x+5y ils Is.5 of (2,-3) (2,-3) al of

A: The detailed solution is as follows below:

Q: Inand consicr HeLines (tn) venfy Al-5,-6) isapoint of (d) 2) prme Hat (4,)-b de] 3) Cans tract (d1)…

A: Since your question contains multipart, we solve only 1,2,3. If you need any particular question…

Q: 3- Let µr1 = 2 in region 1, defined by 2x+3y-4z > 1, while µ2 = 5 in region 2 where %3D 2x+3y-4z <…

A:

Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: In Exercises 5–12, find and sketch the domain for each function

A:

Q: In Exercise 5.8, we derived the fact that 4y1 Y2. 0< yı < 1,0 < y2 < 1, f(y1. y2) = 0. elsewhere.…

A: Compute the marginal density function of y1 using the formula: fy1=∫y2fy1,y2dy2 fy1=∫014y1y2dy2…

Q: You hare shown that e jul dw or , erchenying w and t Jlw) = Use a chume of veriables to genenle…

A: Consider the given information: δ(t)=12π∫-ωωejωtdω                  ..(1) δ(ω)=12π∫-ωωejωtdt…

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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: 2): Consider the DE y" – y" – 6y = 0 -

A: Follow the procedure given below.

Q: - seyi + avīj + () dt = 3 3

A: We have to perform integration by parts and then insert given limit

Q: J sec° (10t) tan“ (10r) dt 4 10.

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Q: Q1 : prove 1 2(1–z) 3(1--z) dydxdz = 1

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Q: 3) yv1+x²dx + x/1+y?dy = 0 (1+v1+x²)(1+/1+y²) Ans: V1+ x² +/1+ y² In +c (Bali, 2007) xy

A:

Q: Find the antiderivative of: dt/(1-7t)^3 where  u = 1-7t

A: To find antiderivative

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

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: 1 EVA LUATE ECs) OF THE DIFF ARD 4(0)-0. dy dt² dt

A:

Q: 6. Consider the following model: Yi = Bo+B,D11 + B2D21 +u; O if person i is a non-immigrant) where…

A: Dummy Variable Trap: It is defined as the scenario when the attributes are highly correlted. One…

Q: Estimate x using the trapezoid rule withn=4 a. Type equation here. Redo 9 using Simpson's rule. a.…

A: Given  f(x) = x3  a = 0 , b = 4 , n = 4

Q: A) A=LDU where D-C) then the humber of special solubion s bo Ax=0 is equalS a-1/b.8/c2/d.camet be…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: docs google.com 10- [P+1(7) – P1(z)] dz = 1 forn = 0 0. %3D O 1,u 2n + 1 O 2,i 3 20-*

A: Introduction: The Legendre polynomial function is the solution of the differential equation…

Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: 7) If z(x,y) = x² + y², x=u+v, and y=u-v, find dz du

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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: 18z + 15 Evaluate -dr where 3x2 + 5x + 7 > 0. Зг? + 5л + 7 First substitute u = 18z + 15 dr J 3x² +…

A: The given integral is- I=∫18x+153x2+5x+7dx=∫36x+53x2+5x+7dx Let u=3x2+5x+7 Differentiating w.r.t. x…