5

In each part below YOl are given function f (z) and simple closed contour â‚¬ (assume it is positively oriented)_ Determine if we can Ilse the Cauchy-Goursat th...

Question

In each part below YOl are given function f (z) and simple closed contour â‚¬ (assume it is positively oriented)_ Determine if we can Ilse the Cauchy-Goursat theorem to conclde that Jc f(e)dz not; YOH do not have to compute the contour integral:f(z) tan z , C is the unit circle |-| = 1. f(2) tan z , C is the circle |z| = 2. (iii) f (z) sin(cos(sin(2 ) C is the ellipse IOO 400 (iv) f(z) = 32y+ 1+iry? C is the square with vertices 1 + i -+i,--11-1f(2) C is the square with vertices 3,31,-3,-3i_ 2+

In each part below YOl are given function f (z) and simple closed contour â‚¬ (assume it is positively oriented)_ Determine if we can Ilse the Cauchy-Goursat theorem to conclde that Jc f(e)dz not; YOH do not have to compute the contour integral: f(z) tan z , C is the unit circle |-| = 1. f(2) tan z , C is the circle |z| = 2. (iii) f (z) sin(cos(sin(2 ) C is the ellipse IOO 400 (iv) f(z) = 32y+ 1+iry? C is the square with vertices 1 + i -+i,--11-1 f(2) C is the square with vertices 3,31,-3,-3i_ 2+z+1' (vi) f(z) Log(z + 2), ( is the unit circle |z| =

Similar Solved Questions

Consider the following autonomous ODE in R2 i =- i =y+12 Use elementary methods to find a formula for the flow o(t, (xo; Yo) and verify that the flow axioms hold: 0(0, (xo, %o)) (xo, yo) o(8 + t, (xo, yo)) = #(s,#(t, (To; yo))). b. Find the and sketch the set Ws (0,0) = {(xo; yo) o(t, (xo, yo)) = (0,0) as t - &} of all initial conditions whose orbits converge to the origin as t - OO. This is called the stable curve of the equilibrium point (0,0). Similarly, find and sketch the unstable curve
Consider the following autonomous ODE in R2 i =- i =y+12 Use elementary methods to find a formula for the flow o(t, (xo; Yo) and verify that the flow axioms hold: 0(0, (xo, %o)) (xo, yo) o(8 + t, (xo, yo)) = #(s,#(t, (To; yo))). b. Find the and sketch the set Ws (0,0) = {(xo; yo) o(t, (xo, yo)) = (0...
20) Draw the sequence of amino acids in the following tetrapeptide:HNCHTHCHNHCH'NHCH;ChOhCH.SHCh:OH B) Ser-Cys-Tyr-Gly E) Ala-Gly-Phe-ValA) Ser-Cys-Phe-Gly D) Phe-Ala-Val-LeuC) Ala-Val-Leu-Gl21) Which of the following structures do polypeptides have? A) primary structure B) secondary structure C) tertiary structure D) quaternary structure E) all of the above
20) Draw the sequence of amino acids in the following tetrapeptide: HNCH THCH NHCH 'NHCH; ChOh CH.SH Ch: OH B) Ser-Cys-Tyr-Gly E) Ala-Gly-Phe-Val A) Ser-Cys-Phe-Gly D) Phe-Ala-Val-Leu C) Ala-Val-Leu-Gl 21) Which of the following structures do polypeptides have? A) primary structure B) secondary...
(10) By using the Laplace transform; solve the DE y" + 6y' + 1Oy = 3- y(0) = y (0) = 0
(10) By using the Laplace transform; solve the DE y" + 6y' + 1Oy = 3- y(0) = y (0) = 0...
Find polar forms for ZW, z/w, and 1/z by first putting 2 and w into polar form 2 = 2V3 + 2i, W = 2 + 2v3iZww 2
Find polar forms for ZW, z/w, and 1/z by first putting 2 and w into polar form 2 = 2V3 + 2i, W = 2 + 2v3i Zw w 2...
Explain why the function has zcro f(x)= x-x+3; [1,2]Pven Interyalfl-x +3r-2 ; [0,4] fl)er-*-cosx= [o,x]flx)--[4,3]In 5-8, verify that the Intenediate Value Theorem guarantees that there function_ Use graphing calculator find the z4ro fl)-x+X- f()-x+3x-2 g()= 2cost - h(0)=1+0 3tan 0zero in the interval [0,1] for the givenIn 9-12, verify that the Intermediate Value Theoremn applies to the indicated interval and find the value of â‚¬ guaranteed by the thcorem. No calculator is permitted on these pr
explain why the function has zcro f(x)= x-x+3; [1,2] Pven Interyal fl-x +3r-2 ; [0,4] fl)er-*-cosx= [o,x] flx)-- [4,3] In 5-8, verify that the Intenediate Value Theorem guarantees that there function_ Use graphing calculator find the z4ro fl)-x+X- f()-x+3x-2 g()= 2cost - h(0)=1+0 3tan 0 zero in the ...
Use the given information to find the exact value of a. sin b: cos and â‚¬: tan tan& = 180? < a < 2708 a. sin (Type an exact answer; using radicals as needed. Simplify your answer) cos (Type an exact answer; using radicals as needed. Simplify your answer:) tan (Type an exact answer; us...
(10 points _ Let u(x,t) be a solution ofUtt c2 UII 0 for C < I < 00, t > 0, u(z,0) = f(w) for C < % < 0, Ut(c,0) = g(c) for 0 < % < 0_Show that v(z,t) = u(â‚¬,t) is also a solution of the wave equation What initial values does v satisfy?
(10 points _ Let u(x,t) be a solution of Utt c2 UII 0 for C < I < 00, t > 0, u(z,0) = f(w) for C < % < 0, Ut(c,0) = g(c) for 0 < % < 0_ Show that v(z,t) = u(â‚¬,t) is also a solution of the wave equation What initial values does v satisfy?...
(a) A model for the shape of a bird's egg is obtained by rotating about the $x$ -axis the region under the graph of $f(x)=\left(a x^{3}+b x^{2}+c x+d\right) \sqrt{1-x^{2}}$ Use a CAS to find the volume of such an egg. (b) For a Red-throated Loon, $a=-0.06, b=0.04, c=0.1$ and $d=0.54 .$ Graph $f$ and find the volume of an egg of this species.
(a) A model for the shape of a bird's egg is obtained by rotating about the $x$ -axis the region under the graph of $f(x)=\left(a x^{3}+b x^{2}+c x+d\right) \sqrt{1-x^{2}}$ Use a CAS to find the volume of such an egg. (b) For a Red-throated Loon, $a=-0.06, b=0.04, c=0.1$ and $d=0.54 .$ Graph...
Let9-1f(x) = 27 Which of the following expressions is equal to f(x)?Select one: 0 f() = 3-* 0 f(r) = 3* f(x) = 3-3r f() = 3* All given answers are wrong
Let 9-1 f(x) = 27 Which of the following expressions is equal to f(x)? Select one: 0 f() = 3-* 0 f(r) = 3* f(x) = 3-3r f() = 3* All given answers are wrong...
1 Review: Problem 19Previous Problem Problem ListNext Problempoint} List all real values of T such that f() = W If there are such real type DNE the answer Dlank: there Inore that one real _ give comma separated list (e.g. 1,21. f(r)Prevlew My AnswersSubmit AnswarsYou have attempted tnis problem tires, Your Overall recordud score 096. You have unlimited attempts remaining:
1 Review: Problem 19 Previous Problem Problem List Next Problem point} List all real values of T such that f() = W If there are such real type DNE the answer Dlank: there Inore that one real _ give comma separated list (e.g. 1,21. f(r) Prevlew My Answers Submit Answars You have attempted tnis proble...
A small propane tank holds Ikg of propane (CaHe), if the tank has a volume of 1.3L determine the pressure that the gas is under:6) If 5g ol dry ice (COz) iS placed inside ot sealed IL container, how much pressure will be exerted Il the temperature Is 258C
A small propane tank holds Ikg of propane (CaHe), if the tank has a volume of 1.3L determine the pressure that the gas is under: 6) If 5g ol dry ice (COz) iS placed inside ot sealed IL container, how much pressure will be exerted Il the temperature Is 258C...
100.127FC100.5089CQuestion 165 pts Which substance will nave the highest boiling point?CO2not enough information5 ptsQuestion 17Stop sharingHide
100.127FC 100.5089C Question 16 5 pts Which substance will nave the highest boiling point? CO2 not enough information 5 pts Question 17 Stop sharing Hide...
Point) Evaluate the Iimit; if it exists: If a limit does not exist, type DNE"V9 +h - 3 lim h-0 h
point) Evaluate the Iimit; if it exists: If a limit does not exist, type DNE" V9 +h - 3 lim h-0 h...
Hl (Hint ofa hour _ Onc-talfotan] ] hour 1 1 4 V [ following: that 1 mnutcs i 8 N 1
Hl (Hint ofa hour _ Onc-talfotan] ] hour 1 1 4 V [ following: that 1 mnutcs i 8 N 1...
73882900332333888324386582841 1 Ec 0 294 12 0 3 I 1 74 2 {9a dalze {f31888822328223 1 W3930320800353433/ ( 1 0 1 8 3 1 1 8 2 L 1 1 8 1 7 098 8 * *2 4 1 { 5: 0 : : 14 W " 07 8227 m: } Ja: {a8i*4181
7388290033233388832438658284 1 1 Ec 0 294 12 0 3 I 1 74 2 {9a dalze {f31888822328223 1 W3930320800353433/ ( 1 0 1 8 3 1 1 8 2 L 1 1 8 1 7 098 8 * *2 4 1 { 5: 0 : : 14 W " 07 8227 m: } Ja: {a8i*4181...

-- 0.021493--