Y Z G 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 OH 1

Q: 19. f(x, y) = /xy; P(1, 4); 0 = a/3

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

Q: c - Inx y = G x'+xy + 1 = 0 xy'+ xy + 1 = 0 O xx'+y+1 =(0 O xy'+x+y = 0 2.

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Q: Find L(y). y + 2x = 2 y – a' = et y (0) = x (0) = 0 O L (y) (s+1)(s²+1) -2 L (y) 8(s²+2) O L (y) 1 L…

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Q: Compute fx and fy for f (x, y) = ln(x^2 + xy^2)

A: For a function of two variables x,y its partial derivative with respect to one variable is…

Q: x+y y+z z+ x 1 1 Select one: a. x+y+z O b. 1 C. Xyz Od. 0

A: To find The determinant of the given matrix.

Q: c) x + w²/x = t, x(0) = 0 and x(0) = 0

A: The given differential equation is, x''+ωn2x=t where x0=0 and x'0=0. It is required to find the…

Q: (*+ (H)')" 0.8 f(x, y) = %3D af 1.6x(x^2+(y/9)^2Y^-0.2 af 1.6/9y(x^2+(y/9)^2)^-0.2 ду

A: Using partial derivative rules

Q: 1) y" – 3y' + 2y = f(t), y(0) = 1, y'(0) = 0; %3D

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Q: x +y] 3 6. Given: z+1 Find: x +y + z +t

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Q: x ²" (t) + ¢ x (t) = t + 4 where: X (0) x² (0) = 0 X

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Q: * - x(t) + 5ÿ(t) = t; ÿ – 4y(t) – 2x(t) = -2; y(0) = ÿ(0) = x(0) = ¿(0) = 0 %3D %3D

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Q: Find f(t). ℒ−1 {s/(s+1)2}

A: To find the inverse Laplace transform of the given function of s.

Q: x+у у+z z+x %3D 1 1 1 Select one: а. х+у+z 13 b. О с. 1 d. xyz

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Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: . Let f(x,y) = 10xy^4 +x^5y^2. Find fyyy.

A: We have to find solve

Q: 2. f(x,y) = In(x+y+3) %3D

A: Topic = Functions

Q: 27) (x- 1)(x + 1) s0 A) {1} B) [-1, 1] C) (-1, 1) D) (-, -1]U[1, 0)

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: 12 f(x, y) = #(x² + xy), 0< x < 1, 0< y <1. + xy), 0 < x < 1, 0 < y < 1. 7

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Q: 1 f(z) = z(z –

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Q: f(x+h)-f(x) h± 0. e. Find neveeond ot oibute ertol blen e

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Q: x°y "у" , у(1) — 0, у"(1) — 1 + ху — у — 0, у(1) — 1, У"(1) — 1

A: x3y"' +xy' -y=0⇒D(D-1)(D-2) +D -1 =0 where we consider z=logxon solving cubic equation we…

Q: y" + 4y = f(t) y(0) = 0, y'(0) = -1 [1, 1< t 0 < t <1 f(t) = 0.

A: The given differential equation is                        y''+4y=f(t) ⋯⋯⋯⋯⋯ (1) where f(t)=1,…

Q: Evaluate (x - 4y + z) ds. S: z = 5y, 0 s x s 4, 0 sysx

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Q: 1. f(x) %3D 2 - 3x; с%3D1 C = 1 0 0.9 0.99 0.999 1 1.0011.01 1.1 2 f(x) ?

A: The given function is: f(x)=2-3x ;          c=1

Q: 0<t<1 7. y" +4y = f(t), y(0) = 0, y'(0) =-1 f(t) =< |0 t21

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Q: -3 and y = 2 0 Let x = ||x - y||₁ ||x - yl|oo = ||x - y||2₂ = 3. Compute

A: Given : x=-5-32    , y=330

Q: 1. y = x², y = vx, x=7 x = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1, 0 2

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Q: y p(x, y) 2 0.015 0.010 0.025 0.030 0.020 0.050 2 0.075 0.050 0.125 0.090 0.060 0.150 4 0.060 0.040…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find fy (4,1) if f(x,y) = e^x^2 – 12y fy (4,1) =

A: Find fy (4,1) if f(x,y) = e^x^2 – 12y fy (4,1) =

Q: 2. f(x,y) = x5 In(y)

A: Given function is fx,y=x5lny. To find the first and second order partial derivative of the given…

Q: 2 et x f cx)=1,0<x 2. et =-Inx, find fcy)

A: Given that the pdf of X is f(x) = 1, 0 &lt; X &lt;1 We will use method of Jacobian to find the pdf…

Q: 9. xy(1+xy2) = 1 Ans: + y² -2 =

A: The given ode is xy1+xy2dydx=1 which can be written as dxdy=xy+x2y3

Q: 4. x"(t) – x(t) = 4Cost with x(0) = 0, x'(0) = 1 5. y"(t) – 6y'(t) – 9y(t) = 6t²e3t with y'(0) =…

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Q: z x+z TE x xz (а) 6xz dydxdz (b) | x²siny dydzdx 0 0 0 0 0 0

A: a) ∫01∫0z∫0x+z6xzdydxdz Evaluation of ∫01∫0z∫0x+z6xzdydxdz is ∫01∫0z∫0x+z6xzdydxdz…

Q: 1) f(x,y)= 2x² – 3y – 4 2) f(x, y) = (x² – 1)Xy + 2)

A: Solution :-

Q: g) t(t-5)². i) (x-1) (x-2)(x-3). h) x (x²-4)². j) (y-6) (y-4) (y + 1).

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Q: -4-sy=0, y(1)=0, y'(1)=2 b) dt

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Q: 1 0 1 1 1 2 A = (FTF)-¹ FTY. - Given that F = 9 Y = 6 0 0 , compute

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

Q: 2. 21. f(x, y) = x+ 2xy -4x; P(1,2), Q(1.01, 2.04)

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Q: 1. x"(t) – 4x'(t) + 4x(t) = 4e²* ; x(0) = -1, x'(0) = -4 %3D

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Q: 9. t*y' = 2y, y(1) = 1, t > 0 10. t³y' = 2y = 0, y(1) = 0, t > 0 %3D %3D

A: Due to guidelines I can solve only 1st question if you want solution of other you can repost it We…

Q: 3. 1 1 1 SSS √√(x + y -1 -1 -1 (x+y+z)dydxdz

A: Sol:- ∫-11∫-11∫-11x+y+zdydxdz

Q: 16 y"+ 2y = 48(t – 2n) ; y(0) = 3 and y'(0) = 0 %3D 32 0 2

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Q: 13 x*y" - 2xy + 2y = x In |x|; (1) = 1, y'(1) = 0

A: Answer

Q: |1 X x21 |1 X YZ| 1 Y XZ = 1 Y Y2 1 Z XY Z 72

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Q: 4. ヨx ヨy (x +y+y+x) 5. Vx (x ± 0 →→ 3y (xy = 1)) 6. ヨx Vy (V+0→xy= 1)

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Q: 10 0 X y 0 1 0 1 Z If | 0 0 0 | find x, y and z.

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Q: |1 1 1 1 1+x 1 1 1 1+y Select one: a. 2x-y b. ху С. X-у d. x+y

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Q: z+1 43. f(z) = x + - 9(z) %3D %3D I +2

A: