if z = 1- i,w = -2 + 4i then |zw + wz| = %3D

Q: 4. dr/dt = -2tr, r(0) = ro %3D

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Q: O 2ax-X Sa — х dx Jse gamma or beta laws

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Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: 4. y=e2 y=e", x= In 2, and x = In 8 %3D

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Q: At the point (3, -1, 2), * P = xy + yz + zx A = x²yî + y²zĵ + z²xk Find p · VA O 1 O 2 O 3 O 4

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: Find positive numbers x and y satisfying the equation xy=20 such that the sum 4x+y is as small as…

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Q: (2xy+ 3x2)e, +(x² – 2yz + 2y)e,- (e2 + y?)e, olan f(x, y, z)

A: Given that the function is

Q: 5,4 R(x,y) = 3x* - 3x°y" + 5x°yª Ryx Ryy = Rx y = Ryx = II

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Q: , Xn i.i.d. Uniform(0, €). X(1) + X(2) X(n) E

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Q: (1) E(x, -x)² =Ex} – nx² | (ii) E(x, –x)(y; -y)=Lx,y, – nxy (üi) E(x, – x)(y, – F) =Ex,(v, - )

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Q: 12. (4х + Зу — 7)dx + (3х — 7у + 4)dy %3D 0; whe х %3D 1,у %3D1

A: Solve for the differential equation (4x+3y-7) dx + (3x-7y+4)dy=0; when x=1,y=1.

Q: Question (1)  Prove , ez1/ez2  = ez1-z2

A: The given equation is: ez1ez2=ez1-z2

Q: x+x-2 dx If S (x²–1)(2x-x²) dx can be resolved into A S+ Bƒ f(x)dx + D ƒ g(x)dx , then

A: Using partial fraction to solve the problem.

Q: 3. Find the general solutions of, x+y dx x-y, a.

A: We have to solve the given differential equation.

Q: Solve the equation y' = x^3 + y^3 / xy^2 fraction homogeneous first order ODE set v= y/x

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Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: Find positive numbers x and y satisfying the equation xy=24 such that the sum 4x+y is as small as…

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Q: 3. If 4=(x+2y+az,bx– 3y-z,4x+cy +2=) is irrotational. Find constant a,b,c.

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Q: 12 17 Find p, q if s" f(x) dx + fi2 f(x) dx = " f(x) dx. (Give your answers as whole or exact…

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Q: (5)If 3, g(x)dx=5, then 2f(x)+3g(x)dx =. S 25(x) + 3g(x)dx =

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Q: Solve du a²u k xe (0, L), t>0 ôu (0.1)- ĉu (L,t) = 0 ди (0,1): Əx 87x - 3 сos L 3n x u(x,0) =…

A: Given: The given heat equation is ∂u∂t=k∂2u∂x2, x∈0,L,t>0. ∂u∂x(0,t)=∂u∂x(L,t)=0

Q: Question # 4 w + 2x – y + z = 1 w + 3x – y + 2z = 0 |- + z = -1

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Q: How would you interpret the coefficient of β2 in each model? Ln(Y) = β0 + β1 Ln(X1) + β2 Ln(X2) +…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 1 I. In x dx + C - In x dx 1 -In x + C 2 II. O Both equations I and II are TRUE. O Only equation I…

A: Given:  I) ∫ln x dx     Apply integration by parts:             ∫fg'=fg-∫f'g here f=ln x, g'=1…

Q: what is the general solution of d^3x/dt^3 - 19 dx/dt + 30=0

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Q: CV4-x2 4-x2-y2 1- o So Si s** ydzdydx Jx²+y2

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Q: Step 1 1 + In 2xy = e2x - y, (1/2, 1)

A: we will find the required.

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

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Q: 5. r(x, y) = ln (x + y)

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Q: (2)· (2)' + sinais The degree of the dirterential equation 10

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

Q: If (x+1) dx (x+2)(x-1)² S -=S= A B + x + 2 + x-1 C (x-1)2 dx, the values of A & C respectively are:

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Q: 1.) y = ,"(x* + )d. 3 1.) у 3 /1-х2, 2.) у %3D S Vu du

A: Newton-Leibnitz rule :                ddt∫g(t)h(t)f(x)dx=f(h(t) dh(t)dt   + f(g(t) dg(t)dt Note…

Q: 1-find the value of z and x, 2- find (A") + d* (x². e3*) 3- find (A+ 3 lm 3), 4- 2A*A", 2r + Z+ y= 2…

A: Given: The equation are  2x + Z + y = 2 x - Z + 4y = ln 1 x + 2y - 2z = 4

Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation…

Q: CO, 1) B1, 1) R. A(l, 0)

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Q: If s = 4/t - 3, then %3D ds dt

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Q: 1 Q4- If you have 1 then x ... And y = %3D x+iy 1+2i

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Q: (2n Yn+2 + ) yn+1 ) Yn = (2n + 5)2" cos (") %3D 2n+3 2n+

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Q: -5 #2. Suppose that S„ƒ(x)dx= 6 andS²,g(x)dx= -4. Find S°,[3f(x) – 0.5g(x)]dx.

A: To evaluate the given integral apply the following rules.

Q: 1 y = [cosh(2x)] co* ot-1

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Q: If y = Eo(k + 1)z*+3 then y' = .

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Q: Í (x)dx, iff(x) = Vx -k +1;k-15x <k, k = 1, 2,.n.

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Q: Find positive numbers x and y satisfying the equation xy = 16 such that the sum 2x+ y is as small as…

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Q: f Lan 2X e *3 of +sec2X Pinel dy o

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Q: 11. y" – 2y' + y = e', y(0) = -2, y'(0) = 2, yp(1) = Įře' %3D

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Q: , у"+ бу'+ 9у 3D 0; x = 0, y = 0 and x = 0, y' = 3 = Ans. y=3 x e-3*

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Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

A: The given minimize problem is C=s+2t subject to constraints, 4s+t≥2702s+t≥190s+3t≥330s≥0, t≥0   Then…

Q: Solve the variational problem 8] +2y (x +y)] de = 0, given y (1) éy (2) 0. %3D

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