z sinz (z-n)4 Compute the residue of the function at the point z=r. g1601005598/ B A -1 g160100555 g160 0555- 9870479447 g160100555

Q: Q4) Find Fourier transform of the functions: 1)f(x)= nxl, x π 3)f(x)=xe-x1, x ER 2)f(x) = 4)f(x) =…

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Q: Taylor polynomial for f(x)=In x to approximate f(1.15) with x0=1, and n=5

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Q: 3i +2V2 - 5n -4i +6(1 +a T/4 [(3sec2 t)i - (5 + sin t)j - (6sec t tan t)k)]dt Find 0. 2 2-57T-4 3i +…

A: ∫sex2xdx =tanx+c∫(constant)dx=x+c∫sint dt =-cost +c∫sect tant dt =sect+c tanπ4=1cosπ4=12secπ4=2

Q: Taylor polynomial P1(x) of f(x)=cos((4-2x):t) at the point X0=1. Find the Taylor polynomial, the…

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Q: When using yi=f(xi) for i=0,1, ..., n to find the Lagrange interpolating polynomial ---p(x), p(xi)…

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Q: 2. Find the nested form Q(x) of the polynomial f (x) = 6cos' x– 2cos x+cos.x –1. Evaluate Q(1.5)…

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Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (z² + 3z – 5)/2³ (3) (2z…

A: 3. Given function is 2z+1zz3-5.

Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (z² + 3z – 5)/2³ (3)…

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Q: Using secant method, compute the root of the given function shaded in yellow

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Q: +. + 1 3. Exer. 33-36: Use right-hand and left-hand derivatives to prove that f is not…

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Q: The Fourier Cosine transform of the function f(X) = {1, |x| a} a A 1/(/2n)*(cos(as)/s) B…

A: Given functionfx=1,x<a0,x<aFourier cosine transform of f(x) is given byFcfx2=2π ∫0∞ f(x)…

Q: A periodic function f(x) = g(x+2x) f (x +27) us given by x+ π -TULX LO π-x, 0≤xs t 2 a) Sketch f(x)…

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Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (z² + 3z – 5)/2³ (3)…

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Q: Given the complex-valued function 1+z z² Evaluate f (¹) (A) -4-3i (B) - f(z) = (C) −¹+²i (D) none of…

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Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (–2,3); (2,4) and (4, 3). Then…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: k ak ak a-1,a +1 (-1)* 1/½(-1)*+1 kak 4), a +1 a- (ak + b)(n) (ak+b)(n+1) a(n+1)

A: ∆ak= ak+1-ak      = ak(a-1) therefore anti difference of ak=ak/(a-1)

Q: f (x) is a function with the domain (-00, -7) U (-7, 3) U (3, 0), and the graph of f "(x) given…

A: Given The domain of the function is (-∞, -7)U(-7,3)U(3,∞)  and graph of f''(x)

Q: (x²–1)dx S (x++3x² +1)[tan-1 x2-1 aluation of is

A: Given integral is I=∫x2-1x4+3x2+1tan-1x2+1xdx To evaluate I Now, dividing the numerator and…

Q: erfind the first agd decond derivatives oh the funchan

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Q: The Gamma Function I (n) is defined by I (n) = xn-le-ªdx,n > 0. (а) Find Г (1), Г (2), and Г (3).…

A: We will show the given results.

Q: 1. L{sc" sin wt} L{e* (acost+6 sin t)} -kt cosh 2t +-sinh 2t 2 3. L 2.

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Q: at z -1)

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Q: MATH 157 D100 Page 2 of 6 1. Find f'(x) for the following f(x). (DO NOT SIMPLIFY OR FACTOR YOUR…

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Q: Sketch a graph of the function f(x) = 5 cos| 6+ 3 -87 -71 -6 -SA -47 -3T 27 -T 1 2 3n 47 57 6n 7n…

A: Given: The function

Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (2² + 3z – 5)/z3 (3) (2z…

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Q: 3. Find f. (g) f'(x) = 2x – e

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Q: 8. Find the 6th order Fourier approximation of the function that is periodic and f(x) = x, -2<x <2

A: Given function is fx=x ,   -2≤x≤2 Compare the interval  -2≤x≤2 with -L≤x≤L, we get L=2…

Q: Rewrite the function in vertex form, f(n) a (n – h)? + k. 101010 01010101011020101o101010101101010…

A: f(n)=-3n2+36n-104

Q: 1. (a) Draw the graphs of the functions x and x in the plane. Then find all integers n > 2 such that…

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Q: Find all the singularities of tan(z) f(z) = determine their types, and compute the residues at the…

A: Given function is fz=tanzz. We have to find the singularity of fz. Now, limz→0fz=limz→0tanzz00…

Q: Find the absolute maximum and the absolute minimum of U(q) 20002 (15 5q)4 on the nterval 04.

A: First find the derivative of the given function and compute the critical points.

Q: Which of the following is the ODE of the equation Iny = C1e* + 2? Select one: O yy" + y²y' +lny =…

A: Given: lny=C1ex+C2ex To Find: Which one of the option is correct:…

Q: Find the residues of the followings functions at z = 0: (1) (z2 + 1)/z

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Q: 42-152+25 Find the oblique asymptote of f (x) :

A: To find the oblique asymptote of the given curve, we perform long division.