w the region of convergence and determine the a. 2i/(4+iz) about 2+3i

Q: Derive and use the estimate 800 |u (x, t)| < 1 -7²t/10 re (2k + 1)* k=0

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Q: %3D Using the substitution u= 2, find the values of x such that 22r+2 = 5 (2)-

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Q: 3) Find Fourier series expansion of he funchion f(x) - T/2 Śn 2o %3D cos n

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Q: Oz Aradom Variable(x) has the following cof FX(X) = (x³ + x) al find the pdf of X find Pro <xcot)…

A: Given that: The cdf of random variable X is given as: FxX=12X3+X      where 0≤X≤1

Q: D Find the Fourier expansion for the Function fit)= t- t³ in the interval -ist <i %3D

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Q: Q5] Find the Fourier series for the following periodic function defined in one peiod: - I <t < 0…

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Q: Calcula te fourier Series of: 2 ; - T <x < fCx) 1;0くx ZT for interval [- T,]

A: Given : Piecewise Fourier series  Aim : To expand fourier series

Q: ) Show that the image of the annulus {z: 1 // } W = Z²-1 is the domain { W: Rew > -1, \w - 1²/31/

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Q: ² + y² + z² x+y+z 7x+y+z > x*y³z² > x+y+z 3 7x+y+z

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Q: 一言くrく0。 0. 0<rくす。 h, f(z) =

A: Since Fourier series corresponding to f(x) is a02+∑n=1∞ancosnπxL+bnsinnπxL            - ( i ) where…

Q: can you explain how you got (x-2)=(t-3) and can you explain how you got the new limits because the…

A: Given:

Q: (d) (27+5)(2- i)|=/3 12z +5|. %3D

A: Solution D: We have to prove (2z¯+5)(2-i)=3(2z+5) L.H.S. Let z=x+iy So z¯=x-iy therefore…

Q: b. Find the Fourier Series for the square wave: f(x) = { 1 if 0<x< if n < x≤ 2n

A: Given that    fx = 1if 0 &lt; x &lt;π-1if π &lt; x ≤2π The Fourier series of f(x) in 0,2π is given…

Q: Consider the functi on f(z) = 2 -a with lal >1 %3D 1- az Show that if 121 >1, the lf(Z)< 1

A: Given the function f(z)=z-a1-a¯z with |a|&gt;1.To prove that if |z|&gt;1, then |f(z)|&lt;1

Q: 2 4) + +2 +2

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Q: (2– sec?x) cma/e°sec³x sec( 3A – x) What should be the value of A for dr to be integrable using the…

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Q: H.w: find fourier series of the triangular wave funetion defined by nx)4/for-1 Sisl and fix 2R)?

A: fx =x  :-1≤x≤1 To find: Fourier series of  given triangular wave  function and fx+2π.

Q: Q2: Find the Fourier series of the function. for n >t > 0 for 2n >t > T 2 f(t) = 11) - { }

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Q: Q2) Answer the Following: 1- Find the Fourier series for the following function f(x) = { 2, -HAX<H…

A: Note: I am solving question 1)

Q: Find the Fourier series of the functions Ekez max(1 – |x – k|, 0) - and Ekez max(1 – |r – k/2|,0).…

A: The complete solutions are given below

Q: Q=[X1,2,3,X2- A. length(Q) B. Q(1:4) C. Q(5) ==0 D. max(Q) E. sum(Q) F. Q'

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Q: 2a In R^ show that : 2 as 211x11² + 211|4|1²³ = || Xx+y|11² + 11x-y₁1² ( This is known a the…

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Q: 2) Let A = 3 Find the valuebs of k such tht A is noniugulo Al erists. (a) Column Compute the first

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Q: find Fourier series an [o, 2] ○くxく下 f cx) = てくXく 2π

A: Solving

Q: Q5) Find the root of f(x)= 5 sin(x) + ex² by using bisection method take a= -1.25 and b= -1.0 for…

A: Given, fx=5sinx+ex2. Here, a=-1.25b=-1.0 Now,…