find the real and imaginary part u and v of the given complex function f(z). * f(2) = e²²

Q: -6x 6x 24 – 12.x y": (x + 1)ª - - y = f(x) = If %3D %3D (x + 1)² (x + 1)³ and 15. Determine the…

A: Determine the y coordinate of the turning point of f(x)

Q: b) f(z) = (z2 + 28)/(z4 + 1) is a complex function. %3D Given So° (x2 + 28)/(x4 + 1)dx = at/23/2…

A: Given that,f(z)=z2+28z4+1 is a complex functionThe value of a is determined as shown below

Q: The roots of the characteristic equation of (D2 – D+ Dy are A1 = 3 + 4i and A2 = 3 - 4i . 25 15 10 4…

A: We will find the value of the unknowns.

Q: 2. Find the general solution of Ei-0 (2)*y(n-1) = 0. %3D

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Q: Find the value(s) of z which satisfies the equation |z| 2 + 1 + 6i = 6z

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Q: Solve for x, y, and z by any numerical methods that is applicable. Use x = 2, y=6, and z=5…

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Q: Solve (PDE) (BC1) (BC2) (IC) 2²u Ju ди Ət Ər² əy² u(0, y, t) = 0, u(a, y, t) = 0 u(1,0, t) = 0, u(x,…

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Q: Let z = 7xy - 7xy where x = 7t, y = 7(1-). Find dz by using the chain rule. Express your answer in…

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Q: 2) Y=2- IxxY =O, X =0, X - 1 2 Sketch the reqion.

A: y=2-12x —1y = 0 —2x= 0 —3x = 1 —4From eq 1put x=2y=2-12x2 = 2-1y=1put x=4y=2-12x4=2-2y=0from eq 1,…

Q: (a) Find the real constants P,Q, R, for which 3 P Qx + R x2 - x + 1' x3 + 1 x + 1 Show that V3 dx =…

A: Show that: ∫013x3+1dx=ln2+π33 Used formulas, ∫1x+adx=lnx+a∫1x2+a2dx=tan-1x

Q: Q/3 x2 -9 Let f(x) = + т, х+3 x-3 тx + 3k, x = 3 Is cont. at x = 3, find the value m&k if f(-1) 8.

A: Given  fx=x2-9x-3+m,     x≠3mx+3k,           x=3  is continuous at x=3 f-1=8 To find value of m and…

Q: If f(x) = 0 is a cubic equation whose roots are a, B, y and a is the harmonic mean of the roois %3D…

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Q: The orthogonal trajectories of r = a0 is_ r= - +c In r = -02 + c In r + c 2 02 Inr = + c 2 ||

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

Q: QI) verify the following equation:- (Ā x B )x C =(Ã.C)B-(B.C)A where:- ( Ā =i-1+2k, B = 2i +J+ k, C…

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Q: + PC)U= @X) U" 00 slove this equation by central euler method

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Q: The general solution of y” + y = cos2 x

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Q: where Z₁-WN(0,0). Assume you know that E(X)=3,u= 1 and ² = 1. What is the value of $?

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Q: -2x 7. u +u =u, u(x,0)= 2156e " probleminin çözümünü u (x, y) = f (x)g(y) şeklinde arayarak bulunuz.

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Q: What is the annihilator for y=x e*cos 2x ? (D²+5)2 ® D² +5 © (D²-2D+5)2 D D2-2D+5

A: See the solution.

Q: Find the imaginary component of  ln(z - w) if z = 22 + 14i  and  w=10+7i . Round off your final…

A: For the solution follow the next steps.

Q: /2 ( 2) (2a- z) dr x2) ? dx • B I A , E E E E 8 &

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Q: Q.3) Find the constants a, b, c, d, e if f(z) = (ax³ + bxy² + 3x² + cy² + x) + i(dx²y - 2y³ +exy +…

A: Given :  f(z) = ax3+bxy2+3x2+cy2+x + idx2y-2y3+exy+y  is analytic. To find : The constants a, b, c,…

Q: Consider the transformed cubic f(2) = (r – 1) – 125

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Q: Using complexification, find the general solution of d²y dt2 dy +2- + 5y = 34 cos 2t. dt

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Q: Q3 The imaginary part of the complex function f(z) = u + iv is, v(x,y) = 3x²y + 2x2 – y3 – 2y2 (i)…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: The population of bacteria is given by P = Poekt.Where P is population after t days, Po is initial…

A: Here the value of P0 is 100 ,P is 450 and t is 5. Now substitute all these values in the equation…

Q: x + y - z = -2 2x - y + z = 5 -x + 2y + 2z = 1 Find the adjoint and inverse and solve for x,y,z

A: topic - solution of linear equations using matrices

Q: Q.3 а. Using first principle develop a formula of finding AY AX when Y-LX)+g(X) Z(X) f(X)+g(X)

A: Note :- Due to having multiple sub parts i am providing here solution of part a only

Q: ransformation, the solution y(t) of the followim y'-3y = 1, with y(0) = 2 %3D %3D (s) such that

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Q: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

A: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

Q: Look for the annihilator of the given expressions. i) e2x sin3x ii) x³ e4x iii) 5x* - 2.x + 8x - 7…

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Q: The roots of the characteristic equation of (D2 – D + Dy3 0 are 11 = 2 + 3i and A2 = 2 - 3i.

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Q: 1. Test IlI. Solve the sys: fx-y%3D2 y = 1. x+y=7 1o the foll

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: The annihilator operator form for the function e + cos(2x) is:

A: The annihilator operator form for the function ex+cos(2x) .

Q: What is the annihilator for y=x e*cos 2x ? A (D2-2D+5)2 B (D2+5)2 © D2-2D+5 (D D2 +5

A: A detailed solution is given below.

Q: A cubic equation f(x) = 0 has one real root a and two a, ß+iy and B-iy respectively on the Argand…

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Q: Find all functions ult, x) that Solve: where and u(0,2) =0 , 2u co,a) >e²

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Q: sketch the odd and even extensions for -3,3]. Use the substitutions : '= ye¯* s = x Q.3 to solve the…

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Q: y (+zy'+y= ctDsint %3D

A: Given an ordinary non- homogenous differential equation : y(4)+2y'+y=(t+1)sint We need to find the…

Q: Q.2 Use ODE methods to solve the PDE: U-U₁5, U₁(x,0)=3x², U(0,y)=0 *****

A: Introduction: There are many different approaches that are useful to solve a partial differential…

Q: Given u=y3 - 3x²y is harmonic, find harmonic conjugate - 3.xy2 +x3 + c - 3.xy2 -x +c - 3.x2y2 +x3 +c…

A: please see the next step for solution

Q: f the auxiliary roots of a certain HLDE with constant coefficients are 2, -3, and -3, then the…

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Q: Solue %3D ylo). ! y'co)> -2

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Q: Q3 The imaginary part of the complex functionf (z) = u + iv is, v(x,y) = 3x?y + 2x2 - y3 - 2y2 %3D…

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Q: What is the annihilator for y=x e*cos 2x ? A D2+5 B D2-2D+5 © (D²-2D+5)2 (D² +5)2

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Q: What is the annihilator for y=x e*cos 2x? A (D2+5)2 B D2+5 D2-2D+5 D (D²-2D+5)2

A: Explanation of the answer is as follows

Q: a) f(z) = 14/(z + 2z + 2) is a complex function, find (1/T) S-000 14/(x2 + 2x + 2)dx

A: Solution a: Given 1π∫-∞∞14x2+2x+2dx We have f(z)=14z2+2z+2 Considering ∫Cf(z)dz=∫C14z2+2z+2dz then…

Q: Q3 The imaginary part of the complex function f(z) = u + iv is, v(x, y) = 3x²y + 2x2 - y3- 2y2 (i)…

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