2) Find the complex Founer senes of a 2c - periodic function f, which is defined as f(x)= (ix-1)² in the interval x = (-1,R).

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: 1 (-0 + 7) - 1 Sketch a graph of the function f(0) = -3 sin(-0+

A:

Q: Define harmonic function. Prove that the function u = 3x²y+ 2x² – y³ – 2y² is harmonic. Find its…

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Q: a(bx+j)(cx+k)(dx+m)² (ex+n)(gx-p)(hx+q)' with the following conditions a,b,c,d,e,g h.j,k,m,n,p.q are…

A: Given type of function is fx =abx+jcx+kdx+m2ex+ngx-phx+q

Q: Let r (t) = (sin (6r), cos (6t) , sin (6t) cos (12t)). Find the point where r (t) intersects the…

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Q: where y1 = e* is one of the functions in the fundamental solution set. - %3D xy" + (2-2x)y' +(x- 2)y…

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Q: 3. Show that the complex function f(z)= cscz =1/ sinz satisfies the Cauchy-Riemann condition. Find…

A: The given function is fz=cscz=1sinz. A function fz=ux,y+ivx,y, satisfies Cauchy Riemann equations…

Q: Determine if the setsin² {sin²x, 1-cos(2x)} is linearly dependent or linearly independent on I =…

A: Let B={sin2x,1-cos(2x)}.

Q: The domain of

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Q: (16) Show that: (1) The function f(z) is continuous in all complex plane. (2) (-1+i)-8(1+i).

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Q: 3. (a) Prove that the function f : R → R, ƒ(x) = 4x² −14x¹+30x-17, is injective. (b) Find the…

A: The answer to this question is given below.Explanation:

Q: dz (2) Suppose z is a function of x and and suppose cos(32) xyz?. Find in Y, terms of x, y, and z.

A: The given function is, cos3z=xyz2

Q: Let f(z) : D C be a complex function. Is it possible for both f(2) and f(z) to be analytic? 2. • If…

A: Solution

Q: find the derivatives complex funcation. {tanh¬'(iz +2)}-1,

A: fz=tanh-1iz+2-1=1tanh-1iz+2 It is known that tanh-1x=11-x2 so it follows:…