5. If Z1 = v3 – 2i, Z2 = -i +1 and Z – 3= 4i – 2. Evaluate (i) Re{3Z – 5Z} + 22Z}} (ii) |(1+ Z2 + Z3)(i – Z3 + Z2)-'|

Q: 5) Find the general solution by using reduction of order method to (x² + 1)y" – 2xy' + 2y = 0 given…

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Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A: Given ∫3z(1-4z-2z2)2dz ∫f'xfxdx=lnfx+c

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Q: 2x+1 Evaluate: (3z-1) (포2 + 2z + 2) 2 In (3r- 1)+ In (a+ 2x +2)- 4 arctan (r+ 1).c +C F (1) = %3D 10…

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Q: 8 20 Vx 4 dx Evaluate - 3. 5 - 16 x 4 – In(x) + 6 x 3 + C, Where C is the parameter 2 - 16 x 4…

A: The general formula for the integration will be used to solve this problem. Formula is, ∫xndx =…

Q: If /n= ( 5x + 9 )" sinx dx , Then I,+25n(n-1) In-2=. Select one: O - ( 5x + 9 )" cosx + 5n ( 5x + 9…

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Q: This is the solution of the Cauchy - Euler equation xy" + 5xy' + 20y = 0 %3D O y = C1x4 cos(4 ln(x))…

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Q: Please solve using 2nd Order and 4th Order Runga-Kutta y'=ysin^3(t)       y(0)=1 t= 0 to 3   h=0.1

A: Since, we have maximum pages uploaded is 10. So We give you only solution of second order RK method.…

Q: 16. Use Theorem 12 to show that 2n r=0

A:

Q: 1. Suppose that Var(X) = 3, Var(Y ) = 4, and Cov(X, Y ) = 1. (a) Find Cov(2X − Y, X + 3Y ). (b) Find…

A: Given, Var(X) = 3, Var(Y ) = 4, and Cov(X, Y ) = 1       To find, a) Find Cov(2X − Y, X + 3Y ).b)…

Q: ーズ ず+2+4= 8x°+ 12€ (10 +2y+4y = 10 Sin 3X 42デ+44- gSia2x

A: As per the guidelines I have to solve only first question. So for more solutions please repost the…

Q: 5) Solve xy' + y[1 – In(xy)] = 0 by using a suitable substitution in terms of x and y.

A:

Q: Expand x?y + 3y – 2 in powers of x + 1 and y – 2. (up to third degree terms).

A: Given :- The given expansion x2y + 3y-2 in powers of x+1 and y-2.

Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: 2.5 Solve for z if cosh z = V3i.

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Q: For z > 0, 옮(1 In (t³ + 1) dt A) In (x³ + 1) B) In (8z³ + 1) c) 2 In (z³ + 1) 2 In (z² + 1) D) 2 In…

A: Solution: Consider the given that; ddx∫02xlnt3+1dt We have Leibnitz Rule: ddx∫a(x)b(x)f(x,t)dt =…

Q: Prove that L ={(1Z*)"10" | n e N}is not regular.

A: The given language: Then, the above language can be rewritten as, To prove that L is not regular.…

Q: 2. Find the inverse of A = == CN 2 1 -1 3 - -1 2 2 22 12 3 2 using Gauss-Jordan method.

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Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

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Q: Give a clear and detailed solution of the intergral of e^-ct/m 2)

A: You want intergral of e^-ct/m. I am assumig the variable of integration is "t". That is, the task in…

Q: 2) f(3x + cos(x))[3x +2sin(x)-31dx = A) 3x+2sin(x)- 3+C B)13x+ 2sin(x)- 31 +C C) other

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Q: 3.Eliminate the arbitrary constant on the given equation: xsiny – x²y- C

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Q: -5 -71 -2 -4 -8 -3 -9 [-1 [3 -2] t A = v = |1 w = -1 and x = 1 -3 5 1 4 v in N(A)? Type "yes" or…

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Q: Q2 Q2/If y = (x³ + 5x² + 1)3 + Jsin+/cos³Vtan3x2 find y'

A:

Q: Find the general solution of y'+9 y = 4 cos 2x A. y -A cos 3x +B sin 3x + cos 2r B. y -A cos2x + B…

A: Given information: y'' +9y=4cos2x The second order non homogenous differential equation has solution…

Q: Solve for X(n) using any 2 out of 3 methods of the given X(z). 1 X(z) = (1– z--)(1– z-2)

A: Given z‐transform can be written as Xz=z3z-1z2-1=z3z+1z-12

Q: Ex:- Min Z= X-3 X2-2 X3 %3D sub to 3X1 - X2 + 2 X3<7 -2 X + 4X2 く12 -4Xi+ 3X2+8X3 slo Find anew…

A:

Q: Let z1 = 4 + 4i and z2 = 4 – 5i. Find (in the form x + iy): (5z1 + 4z2)? +i i i

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Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

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Q: 27. Show that कक्या 1 Vn E Z*. T1\2i+1 2i+2. i=0 (2n + 2)!'

A: Consider the given expression. ∏i=0n12i+1·12i+1=12n+2! Consider the left side of the equation.…

Q: when y=cos0 is horizontally factored by a factor of 1/4. y=co s1/4 θ y=cos θ + 1/4 y=1/4 cos θ…

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Q: is If u = x², v = sin (y) and w = e-3 then the value ofuv.w) a(xyz) %3D ans. -6x. cos(y) e-3=x.…

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Q: () 2k = 3", Vn E N k k=0 k n+1 Σ 2 Vn E N, n > 1 3 k=2 į * () 主) n 3k = 4", Vn E N %3D k k=0 = 2"-1,…

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

Q: •1-i Evaluate 4z dz . J3i

A:

Q: 5. (a) Solve the cauchy problem given by x²ux + xyuy + xu = Xx-y where (x, y) + (0,0) if u(x, xln x)…

A: Given x2ux+xyuy+xu=x-y where x,y≠0,0 if ux,xlnx=-lnx, x&gt;0

Q: Let z=3+7i and w=7−8i . Find out the following in the x+iy form.

A:

Q: 5. Solve the problem kuxx = xt, u(x,0) = 0, u₁(x,0) = e, Utt - kuxx -∞ 0 ∞ < x < ∞ ∞<x<∞ -

A: Given is the pde. The objective is to find the solution. The solution is for this type of pde is…

Q: дz дz ду ах of z = x3 + 5x2 y + 6 Find 5. Givenz = " у -4x 6. Find oi, of z = In(xy) 7.Find Әхду "

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Q: a. 2,526sinx + 2,526cosx Yp 29 b. yp 89 3 M 7,930sinx + 7,753cosx 91 3 = c. Yp 3,290sinx +7,753 cosx…

A: We will find the particular integral.

Q: 7.32. Prove that for 0 sxSr, - ( (* .) cos 2r 12 (a) x(w-) cos 4x 22 cos 6z 32 6. (b) æ(r - 2) = 8 /…

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Q: 2 2 2 1+ 2 t3十 Cn)和 9 Prove that

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Q: 6. Find the general solution of (x + 2y - 1) dx + (x +2y +5) dy = 0 х +у - 6 In(7 -х - 2у) 3 x - y +…

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Q: Find the first approximation to the root of the equation x - 2x - 5 = 0 using Regular-Falsi method…

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Q: 5) Find the general solution by using reduction of order method to (x2 + 1)y" – 2xy' + 2y = 0 given…

A: Use the procedure of reduction of order to solve the given differential equation as in next step.

Q: 2) S(3x + cos(x))[3x + 2sin(x) -312dx = A)13x +2sin(x)- 3 +C B)13x + 2sin(x)-31 +C C) other

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Q: 37. y = (2x + 1)V2x + 1 38. y = 20(3x – 4)'/4(3x – 4)-1/5 3 39. у %3 40. y = (3 + cos³ 3x)-1/3 %3D…

A: Explanation of the solution is given below...

Q: What is y' if y=x³sin (x²)? a. y'=2r°cos (x²) + 3x²sin (x²) b. y'=2r*cos (x²) + 3x³sin (x²) c.…

A: Solve for the derivative

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…

Q: 1. Using Gauss-Seidel and Jacobi Method, find the values of x1, x2 and x3 with ek < 0.001. 2x — 6х,…

A: