

the other pic was wrong. this are the ones i need help

these are my questions it was croped wrong before



the other pic was wrong. this are the ones i need help these are my questions...
1. Let P(x) = 22020 – 3:2019 + 22 -3. (b) Compute the contour integral Scof(z)dz with f(z) := 2 fled with f(-) -- 2021 – 222020+2 P2) +, where C (0) is the circle 121 = 8 with positive orientation.
5(a)(b) are asking what the
Cauchy-Goursat Theorem and the general Cauchy Integral Theorem
talks about. Please use these two theorems to solve the
problem.
(6) Let C denote the closed contour (3 – sint)et, 0 <t < 2n. Use 5(a)(b) above to aid in computing the following contour integrals. (a) So z?sin(2)dz (b) Jc E-P-5)² dz 24-iz
QUESTION 2.
PLEASE USE COMPUTER WRITING SO I CAN READ IT
52 Complex Analysis Exercises (1) Does the function w = f(2) za have an antiderivative on C? Explain your answer. (2) Is (z dz = 0 for every closed contour I in C? How do you reconcile your conclusion with Cauchy's integral theorem? (3) Compute fc Log(x+3) dz, where is the circle with radius 2. cente at the origin and oriented once in the counterclockwise direction. (4) Let I...
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...
[3] Let p(z) be the principal branch of 21-1. Let D* = C\(-0,0] be all the complex numbers except for the non-positive real numbers. (a) Find a function which is an antiderivative of p(z) on D*. (b)Let I be a contour such that (i) T is contained in D* and (ii) the initial point of is 1 and the terminal point of I is i. Compute J, Plzydz. Justify your answers. [9] Let f(z) be the function 2 3 f(x)...
I do NOT need part a. I really need help on b,c,d,and e though!
Thank you
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) ez dr where C is the arc of the curve z = y3 from (-1,-1) to (1,1); (b) 2,2 d_T + y2 dy where C consists of the arc of the circle x2 + y2-4 from (2,0) to (0,2) followed by the line segment from...
(6) Show that F(x, y) = (x+y)i + (**)is conservative. (a) Then find such that S = F (potential function). (5) Use the results in part(a) to cakulae ( F. ds along C which the curve y = a* from (0,0) to (2,16). (2) Use Green's Theorem to evaluate 1. F. ds. F(1,y) =(yº+sin(26))i + (2xy2 + cos y)and C is the unit circle oriented counter clockwise (6) Evaluate the surface integral || 9. ds. F(x,y,z) = xi +++where S...
solve it ,i need urgent, no need to write neat and clean..
thanks!
......b0nGrr.......
6. Let i +22 B(2) 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, B2)<M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3«i/4 and then bouncing from e3wi/4 to 1. Denote by y the curve representing the trajectory...
help pleasee
ignore the first photo, i need help with number
2
4. Let F(x, y, z) = (e" cos(y) + yz, xz - e" sin(y),ry+z). Compute 5.F-ds , where c: [0, 1] → R is given by c(t) = (tet, arcsin(t),t +1) 4. Let F(x, y, z) = (e" cos(y) + yz, xz - e" sin(y),ry+z). Compute 5.F-ds , where c: [0, 1] → R is given by c(t) = (tet, arcsin(t),t +1)
Can someone help me and tell me which ones are wrong and if
they are wrong can you tell me which is the correct answer
please!!! i will forever be grateful <3
How does AC in OE relate to DF in OF? A D F NE В Н C AC is congruent to DF AC is two times longer than DF AC is three times shorter than DF AC is four times longer than DF Given that IG LFT, which...