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6. Let...
6. Let B(2) i + 22 4- 2iz (a) Find the smallest positive real value M...
6. Let B(2) i + 22 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, B(2) <M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from -i to e3ri/4 and then bouncing from e3mi/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how we can obtain...
Need it asap show work please Let i + 2z B(2) = 4- 2iz (a) Find...
Need it asap
show work please
Let i + 2z B(2) = 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, B(2) < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from -i to e3ri/4 and then bouncing from e3mi/4 to 1. Denote by the curve representing the trajectory of the particle. Without evaluating the...
pls, help me asap, make sure you all understood, wrong ans give bad rate! tks alots!...
pls, help me asap, make sure you all understood, wrong ans
give bad rate! tks alots!
all information here, pls, help me quickly with right
ans
Let B(2) i + 22 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, \B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ri/4 and...
Let B(2) = i + 22 4 – 2iz. (a) Find the smallest positive real value...
Let B(2) = i + 22 4 – 2iz. (a) Find the smallest positive real value M such that for every z on the closed unit disk D, 5B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ti/4 and then bouncing from e3ti/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how we...
Let B(2) = i + 22 4 – 2iz. (a) Find the smallest positive real value...
Let B(2) = i + 22 4 – 2iz. (a) Find the smallest positive real value M such that for every z on the closed unit disk D, 5B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ti/4 and then bouncing from e3ti/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how we...
6. Let B(2) = i + 2z 4 - 2iz (a) Find the smallest positive real...
6. Let B(2) = i + 2z 4 - 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, |B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ri/4 and then bouncing from e3vi/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how...
solve it ,i need urgent, no need to write neat and clean.. thanks! ......b0nGrr....... 2. Every...
solve it ,i need urgent, no need to write neat and clean..
thanks!
......b0nGrr.......
2. Every 2 x 2 real matrix M = (C) determines a complex function M(x + iy) = um(X,Y) + ivm (2+iy), where real-valued functions up and um are determined by the following equation. um(2,y) UM(x,y) (a) Show that there are constants w; and w2 EC such that fm(2) = w12+ w22. What are these constants in terms of a, b,c,d? [8] (b) Determine an equivalent...
solve it ,i need urgent, no need to write neat and clean.. thanks! ......b0nGrr....... 1. (a)...
solve it ,i need urgent, no need to write neat and clean..
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1. (a) Find real numbers a and b such that a + bi = p.v.(-86]1/3. [4] (b) Consider the following statement. "Log(-x)2 = Logza because (-2)2 = 22. Therefore, 2 Log(-2) = 2 Logz." Explain whether or not the statement is true. [4] (c) Consider the following statement. "The rational function (2), where p and q are co-prime non-constant polynomials, is holomorphic everywhere except at the...
1. (20 points) Let C be any contour from z = -i to z = i,...
1. (20 points) Let C be any contour from z = -i to z = i, which has positive real part except at its end points. Then, consider the following branch of the power function zi+l; f(3) = 2l+i (1=> 0, < arg z < Now, evaluate the integral Sc f(z)dz as follows: (a) (5 points) First, explain why f(z) does not have an antiderivative on C, but why the integral can still be evaluated. (b) (5 points) Then, find...
Please explain all steps. Need to understand. Thanks Let C be the closed curve defined by...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
6. Let B(2) i + 22 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, B(2) <M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from -i to e3ri/4 and then bouncing from e3mi/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how we can obtain...
Need it asap
show work please
Let i + 2z B(2) = 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, B(2) < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from -i to e3ri/4 and then bouncing from e3mi/4 to 1. Denote by the curve representing the trajectory of the particle. Without evaluating the...
pls, help me asap, make sure you all understood, wrong ans
give bad rate! tks alots!
all information here, pls, help me quickly with right
ans
Let B(2) i + 22 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, \B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ri/4 and...
Let B(2) = i + 22 4 – 2iz. (a) Find the smallest positive real value M such that for every z on the closed unit disk D, 5B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ti/4 and then bouncing from e3ti/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how we...
Let B(2) = i + 22 4 – 2iz. (a) Find the smallest positive real value M such that for every z on the closed unit disk D, 5B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ti/4 and then bouncing from e3ti/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how we...
6. Let B(2) = i + 2z 4 - 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, |B() < M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3ri/4 and then bouncing from e3vi/4 to 1. Denote by y the curve representing the trajectory of the particle. Without evaluating the integral, show how...
solve it ,i need urgent, no need to write neat and clean..
thanks!
......b0nGrr.......
2. Every 2 x 2 real matrix M = (C) determines a complex function M(x + iy) = um(X,Y) + ivm (2+iy), where real-valued functions up and um are determined by the following equation. um(2,y) UM(x,y) (a) Show that there are constants w; and w2 EC such that fm(2) = w12+ w22. What are these constants in terms of a, b,c,d? [8] (b) Determine an equivalent...
solve it ,i need urgent, no need to write neat and clean..
thanks!
......b0nGrr.......
1. (a) Find real numbers a and b such that a + bi = p.v.(-86]1/3. [4] (b) Consider the following statement. "Log(-x)2 = Logza because (-2)2 = 22. Therefore, 2 Log(-2) = 2 Logz." Explain whether or not the statement is true. [4] (c) Consider the following statement. "The rational function (2), where p and q are co-prime non-constant polynomials, is holomorphic everywhere except at the...
1. (20 points) Let C be any contour from z = -i to z = i, which has positive real part except at its end points. Then, consider the following branch of the power function zi+l; f(3) = 2l+i (1=> 0, < arg z < Now, evaluate the integral Sc f(z)dz as follows: (a) (5 points) First, explain why f(z) does not have an antiderivative on C, but why the integral can still be evaluated. (b) (5 points) Then, find...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
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