5

Determine the value of f(z) = e*cos y+ ie*sin y at z = In 4+ Ti/6...

Question

Determine the value of f(z) = e*cos y+ ie*sin y at z = In 4+ Ti/6

Determine the value of f(z) = e*cos y+ ie*sin y at z = In 4+ Ti/6



Answers

Calculate $y^{\prime \prime}$ and $y^{\prime \prime \prime}$. $$ y=z-\frac{4}{z} $$

In this question were given to complex numbers in better form. Has he won this three cents by over 400 Louis five sets by over six. And we have to calculate their products and the format to do so. I wrote here on the right. We multiply there, ma July and we asked the angles. So in our case are one times are too is three times five. This is 15 and we have to add their angles. So he goes to the 1% by over four Bush like over six. Then to add freshens, we have to ah, write them in different forms or not. The shame denominator. Um, we can usually denominator 12. So now we got you're gonna write by over four a street by number 12 and by over six s, Dubai over 12. And then we find that this there some it's five by. And so using this we see that product. The one thanks is 15. The product will start much lie on, insists the sum of their angles, which is five bye number 12

We have, uh, differential W dirty sickles toe four x squared. Why, you and seeds were these event minus t X wipers Zepa's five 40 Take a look at its different shells At Excellency on Excell Have the partial the liberty off respect with X So let's other horrible as constant So we have for extra like you seven these events so way in the ass constant So have two x r x. What? You These have been my loss. Did you live this constant? So if zero from the partial, they were given respect away So let's treat other parable ass constant So there we have three y squirm I'm sparkles Well times x squared times they say's job in my loss. Three x This is a heiress empire of Argos. Done so it zero. So we have also the partial derivative with that disrespect away. So we have the constant My other barbell, that is X and they So we have the partial derivative. He's 28 x squared y cube. They six plus one Hold up. The torrential w is the some off each ex wife is a It's Deborah Zeller. So we have to go at those values. So you have a X y you days event Miles three or the X minus 12 X squared y Scores of these events minus three x plus 20 x scored like you is a six. Last one is a so that this there differential W

In this question were given the complex numbers. See, one Z says by over three N z two deuces. Bye are for We have to calculate the fractions you want divided 42 and the former got to do a show I wrote on the right here. We just device, uh, and Ma July and we subtract the angles. So in our guys we have that's our one. But my heart too. This six divided platoon, this is three hands for the angles we have. I said I won minus take that too. ISS by over three minus by over four. And to calculate this, um, we have to write them uniform with the same nothing denominator on. We're using them that her 12 here. So he writes, uh, bye. Over three is the same s four by 12. And by before is the same thing as three. By over 12. And so that I want mine instead of two. This by over 12. Um, so if we find is that you see one right I should do Is three infection off the my July I'm subsist. Um, I over 12th using our femina

This differential equation as well as an initial condition. So we're gonna solve the differential equation, and then you can plug in what we're given to find the valley of Sea, since we're gonna be taking an indefinite integral. So here we have a separate bill differential equation. So what we do is we want to get the different variables on opposite sides of equal sign. So are two variables. Here are Y and Z. So an easy way to separate the variables is just to multiply by DC. So when we do that, we get do you Why is equal toe sign of Tuesay easy. Um, and now we're ready to take the integral of both sides. So I'm just gonna write that right here. What? 00 Okay, So this side is really easy to evaluate. We just get why, But here, we're gonna have to use u substitution. Since we have a choosy right here. So are you is gonna be the two z. So if two Z is equal to you, then do you? I'm just taking the driven with both sides is too easy. Um, is that means that 1/2 do you is equal t o d z, um, And knowing this, ready to plug in you for two z so you get that this is equal to 1/2 times the integral of sine you. Do you? Um And so now we can take this into role. So why is equal to 1/2? Um, and the integral of sine is negative co signs of time. Fine of you, plus C. Um, and we can plug back in for you. So get that Why is equal to negative 1/2 times co sign of Tuesay plus c. Okay, so now that we've solved this differential equation, we can plug in our initial condition. So we get that four this equal to negative 1/2 times co sign. Um, and we have a to Z here. So two times pi over four is gonna give us tie over, too. Plus, C um, if we think back to our unit Circle co sign of Piper to is equal to zero, that's, um, that's gonna have we have a zero here, so zero plus e. Um, so that means that C is equal to four. So knowing this, we can plug back into our solution when we get that why is equal to negative 1/2 Times co sign of Tuesay plus four


Similar Solved Questions

5 answers
Evaluate thetriple Integral of f (x,y,2) = 262 +y2 + 2 )-V2 over the part ofthe ball x? +y? + 22 _ 4 defined byz 2 1
Evaluate thetriple Integral of f (x,y,2) = 262 +y2 + 2 )-V2 over the part ofthe ball x? +y? + 22 _ 4 defined byz 2 1...
5 answers
11.IeMnXiwer Al parts.Fr 3ntel 2Fredikt tt predact cf thc [slloving rexxtkz (Le sure show stereachemistry)equm)dnwsuuclute
11. IeMnX iwer Al parts. Fr 3ntel 2 Fredikt tt predact cf thc [slloving rexxtkz (Le sure show stereachemistry) equm) dnwsuuclute...
5 answers
Solve for the roots of the indicial equation for the given differential equation 2xy (1+x)y _ 2y = 0and 01 and 1/21 and 00 and 1/2
Solve for the roots of the indicial equation for the given differential equation 2xy (1+x)y _ 2y = 0 and 0 1 and 1/2 1 and 0 0 and 1/2...
5 answers
The slope of the tangent linocunvegiven by '(x)=822 Tx - Ifthe point (0,9)Ine curve find an oquation of the curve.i=) =
The slope of the tangent lino cunve given by '(x)=822 Tx - Ifthe point (0,9) Ine curve find an oquation of the curve. i=) =...
5 answers
0thin sheet (like foil) with a Post-Analysis Question: Your metal sample is hammered into a of this sheet: Use Determine the thickness (in mmy total area of 23.28 in? (square inches). the true metal density (above) for this your measured metal mass (from table) and calculation_ Show your work clearly. 2-709(cm 26 . Czit
0 thin sheet (like foil) with a Post-Analysis Question: Your metal sample is hammered into a of this sheet: Use Determine the thickness (in mmy total area of 23.28 in? (square inches). the true metal density (above) for this your measured metal mass (from table) and calculation_ Show your work clear...
5 answers
Question 2nOn-conducting sphere of raidus a caries a net charge +q: A cocentered conducting spherical shell with inner radius b and outer radits € catries a net charge -q: Find the electric field in the regionsa) 1*a. b) a 1<b: c) b4Kc d) Kc
Question 2 nOn-conducting sphere of raidus a caries a net charge +q: A cocentered conducting spherical shell with inner radius b and outer radits € catries a net charge -q: Find the electric field in the regions a) 1*a. b) a 1<b: c) b4Kc d) Kc...
5 answers
A model rocket leaves the ground, heading straight up with speed $v$. Find expressions for (a) its maximum altitude and (b) its speed when it's at half the maximum altitude.
A model rocket leaves the ground, heading straight up with speed $v$. Find expressions for (a) its maximum altitude and (b) its speed when it's at half the maximum altitude....
5 answers
QUESTION 72 Whai slate Ol the neme ircn} iS capable '0f pindit? 0 Fcd oxygen? fez. Fez- fc2 + O Fcb +
QUESTION 72 Whai slate Ol the neme ircn} iS capable '0f pindit? 0 Fcd oxygen? fez. Fez- fc2 + O Fcb +...
5 answers
In Ihe #Jure deb4 7110teIhe (aht reachesCCun ?second; amter teino releagad Irom rest110 k16mFan4= What is the mass of the blockcn the left?AEpSulaniFAenme fAnsuerFan& What is %he tension on the scring?AEDSubuniRajue AMsYE
In Ihe #Jure deb4 7110te Ihe (aht reaches CCun ? second; amter teino releagad Irom rest 110 k 16m Fan4= What is the mass of the blockcn the left? AEp Sulani FAenme fAnsuer Fan& What is %he tension on the scring? AED Subuni Rajue AMsYE...
5 answers
X is discrete RV that is uniformly distributed with sample space Sx {1,2,3} Yis a discrete RV that is uniformly distributed with sample space Sx {4,8,24} Find the correlation coefficient between X and Y.0 Ia 0.25 1O b F1G < W0 518d, 4Ole 1.58 f 0 53 9. 45
X is discrete RV that is uniformly distributed with sample space Sx {1,2,3} Yis a discrete RV that is uniformly distributed with sample space Sx {4,8,24} Find the correlation coefficient between X and Y. 0 Ia 0.25 1 O b F1 G < W0 51 8d, 4 Ole 1.5 8 f 0 5 3 9. 45...
3 answers
In each case, determine whether the linear congruence has solution. If it does_ find all of its solutions2c = 3 (mod 6)21 = 3 (mod 7)21 = 4 (mod 8)
In each case, determine whether the linear congruence has solution. If it does_ find all of its solutions 2c = 3 (mod 6) 21 = 3 (mod 7) 21 = 4 (mod 8)...
5 answers
Comdany manunactures cho Oroduce The prlce function for droduct AIs17 _(forX< 34), and for product =(forY < 36), both thousands dollars, where and are theaountsproductsrespectivelyfunctionC(x, Y)17ychousandsdollars, find the quantities and che Dncesthe two products that maximize prolit:productquanticyunltsDroduceDricethousand dollarsproduct quantityunitsproduccpricethousand dollarsFind the maximum profic: thousand dollarsNeed Help?ZuhiranSupmhans Verle4
comdany manunactures cho Oroduce The prlce function for droduct AIs 17 _ (for X< 34), and for product = (for Y < 36), both thousands dollars, where and are the aounts products respectively function C(x, Y) 17y chousands dollars, find the quantities and che Dnces the two products that maximize ...
5 answers
2. [0/1 Points]DETAILSPREVIOUS ANSWERSZILLDIFFEQMODAP1I 4.6.031.Solve the given third-order differential equation by variation of parameters_Sy" y' + Sy e4XSubmit Answer
2. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQMODAP1I 4.6.031. Solve the given third-order differential equation by variation of parameters_ Sy" y' + Sy e4X Submit Answer...
5 answers
Solve the given initial-value problem_4x-4 sin(2t}cos(2t), x(0) -1, x(o}x(t}
Solve the given initial-value problem_ 4x -4 sin(2t} cos(2t), x(0) -1, x(o} x(t}...

-- 0.030542--