let f be analytic function. on and inside asimple closed cantor except finite numberof singular points inside C if b, = Res (f,Z,).b2 = Res (f,22), bn=Res(f, Zn) then%3Df(z) dz = (2 pi) *i*(b,+b2+ ..+ bn)%3D. ...

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Answered: let f be analytic function. on and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. express the given function in the form f(z)= u+iv a) f(z)=6z-5+9i b) f(z)= z+ (1/z) c) f(z)= z/ (z+1)
Consider a function z = F(u(s, t), v(s, t)) where F, u, and u are differentiable and u(8, 6) = -1, v(8, 6) = 2, u, (8, 6) = 5, u, (8, 6) = 9, vs(8, 6) = −3, v₁(8, 6) = 4, Fu(-1,2) = -4, and F(-1,2)= -10. Compute and when s = 8 and t = 6 dt
Let f :[-2,6] R be the function given by * if -2 sx
1) In this problem, let x = 2, the value Ax = dx, dy = f'(x)dx, and Ay = f(x + Ax)-f(x) to complete the table f(x)=√x 1.0000 0.5000 0.1000 0.0100 0.0010 2) dx= Ax dy Ay Ay - dy dy Ay 3) 4) f(x) = 5x √2x+3 Find the first derivative given that dy Find X by implicit differentiation. √√x+y+√√x = 4 dx -лr² h A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing into the tank at the rate of 10 cubic feet per minute, find the rate of change of the depth of the water the instant it is 8 feet deep? 1 V
let f(x)={x^2+2, x >-1 AND -x^2-x, x less than for equal to -1} compute f(0), f(-1)and f(-2) a. 0, 2, 6 b. 2, 0, 6 c. 2, 2, 6 d. 2, 0, -2 e. 0, 1, -2
Apply Definition 1.4 of Chapter IV to show that the function f(x) = 3x + 2 is integrable on the interval [1,2].

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let f be analytic function. on and inside a simple closed cantor except finite number of singular points inside C if b, = Res (f,Z,). b2 = Res (f,2,), bn=Res(f, Zn) then %3D %D f(z) dz = (2 pi) *i*(b,+b2+ ... + bn) •.... ...

let f be analytic function. on and inside a simple closed cantor except finite number of singular points inside C if b, = Res (f,Z,). b2 = Res (f,2,), bn=Res(f, Zn) then %3D %D f(z) dz = (2 pi) i(b,+b2+ ... + bn) •.... ...