2. y4y² = 1; M(1,0). -

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Q: 1 8) Find the Laurent series of f(z) = (2-1)(z-2) *** *E*** HRE b) + +3+2+² +²²+22³ + *** **** 18 c)…

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A: Here we have to find laurent series of f(z) in given interval

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Q: 7. Determine the period of each function: a) y sin- b) y = cos 2(x-45°) c) y = cost = cos(x+90°)…

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Q: Find the generalized union and intersection: 1. A = {1,2,3,...} 2+1 Q-(무)

A: Let us find the generalized union and intersection of the given indexed set in the next step.

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A: Here, we need to use simpson's 1/3rd rule and need to take seven ordinates. so h=0.1

Q: 1 8) Find the Laurent series of f(z) = (2-1)(z-2) ****** **** b) ·+ + + + + 3² +22² +2³ + 18 c) I d)…

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Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7, -1,8) lie…

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

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A: The given equation is x2+x-1=0  find the value of f(0) and f(1)  fx=x2+x-1f0=02+0-1=-1…

Q: 20. As shown in the required readings or videos 1. Prove that the gamma function r(x) = ftx-¹e-dt…

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Q: 8) Find the Laurent series of f(z) = (2-1)(z-2) ********** a) + b) .... + +2/2+²/²+3/2² +2³ **** I…

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Q: $0.5 Josh (sin x) d dx using Romberg's method, correct 30 Example 8.20. Evaluate the integral to 3…

A: Solution :-

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

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Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) = 3, f(3) = 55 using…

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Q: lim a-1 In(1-x) dx X

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Q: JJs where S is the sphere x² + y2 + z2 = 1.

A: Given S is the sphere                         x2+y2+z2=1 To evaluate:             ∫∫S3x+3y+z2dS…

Q: Just wondering where you got the 4! from in the first line of the total number of ways: i.e. 7! / 3!…

A: The 4! in the first line is obtained as shown below.

Q: Prove using mathematical induction that for all n ≥ 1, n(3n-1) 1+4+7++ (3n - 2) = 2

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Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 .

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Q: For n € N, { x = R | |x-x*|<1/n } is open.

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Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) =3, f(3) = 55 using…

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Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

A: (a) The given statement is: "If f'x=g'x for all x, then f0=g0" The statement is false. Take the…

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Q: Consider the following vector fields: F = (3x² e²y, 2x³e²y + 2 cos y sin y) and G= (y+z, x+y, z —…

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Q: Let B be a random number chosen from the interval (-10, 10). Find the probability that the quadratic…

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Q: 7 R, S and T are closed sets implies RnSnT is closed. N S A 8 If S has a maximum and a minimum then…

A: We can solve this using given information and using definition of compact and close set

Q: Y(s) 3 8. For the first order transfer function [ = [], K₂= X(s) S+ T= b. 15 c. 5 d. 3 a. 6

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Q: PROBLEM2 -PART2 Evaluate the following convolution analytically (meaning give a closed formula/model…

A: Theory: Z Transform Properties: ROC is Region of convergence. X(z)=Ƶ(x(n))        ROC: Rx…

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Q: 4. (a) Show that the outward flux of the postion vector field F(x,y,z) = (x)7+ (y)] + (z) through a…

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