prove that a function with a pole at i will have a pole at -i

Answers

Answer 1

A function with a pole at i will indeed have a pole at -i.

To prove that a function with a pole at i will have a pole at -i, we can consider the complex conjugate property of poles.

Let's assume we have a function f(z) with a pole at i, which means f(i) is undefined or approaches infinity.

The complex conjugate of i is -i.

Now, let's consider the function g(z) = f(z)f(z) where z* denotes the complex conjugate of z.

At z = i, g(z) = f(i)f(i) = ∞*∞ = ∞ (since f(i) approaches infinity).

Similarly, at z = -i, g(z) = f(-i)f(-i) = ∞*∞ = ∞.

Since g(z) has a pole at both i and -i, f(z) must also have poles at i and -i due to the complex conjugate property.

Therefore, a function with a pole at i will have a pole at -i.

For more questions like Function click the link below:

https://brainly.com/question/16008229

#SPJ11


Related Questions

HELP HELP I NEED HELP ASAP

George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh?

Answers

i am pretty sure the answer is 180


[tex]32 \frac{1}{2} \times \sqrt[8]{16} \div (0.008) \frac{1}{3} [/tex]

Answers

Answer:
8485.281374

Just use the calculator

Can someone please help me! Right answer gets brainliest!!

Answers

Answer:

Step-by-step explanation:

Equation: x+6=13

Solution x=7

I hope this helps!

Do well!

plz help me
which graph best represents a function with a domain of all real numbers less than 5?

Answers

It's graph(B).

Imma 100% sure 'bout this. Mark it!

The domain of a graph is the list of possible x values of the graph

Graph B has the domain of all real numbers less than 5

From the list of options, we have the following observations.

For graphs A and C,

The curves extend across the x-axis.

So, the domain is: [tex](-\infty,\infty)[/tex]

For graph D,

The curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle

So, the domain is: [tex](-\infty,0)[/tex]

For graph B, the curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle

So, the domain is: [tex](-\infty,5)[/tex]

The domain [tex](-\infty,5)[/tex] means that:

All real numbers less than 5

Hence, the domain is illustrated on graph B

Read more about domains at:

https://brainly.com/question/16875632

Which expression is equivalent to − 3 4 ( 8 y − 12 ) + 1 5 ( 15 y − 30 ) ? A. –3y – 15 B. –3y + 3 C. –2y – 12 D. y – 3

Answers

Given:

The expression is

[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]

Using distributive property, we get

[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]

[tex]=-6y+9+3y-6[/tex]

On combining like terms, we get

[tex]=(-6y+3y)+(9-6)[/tex]

[tex]=-3y+3[/tex]

Therefore, the correct option is B.

Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

Slope = -7/2

Step-by-step explanation:

The standard equation of a line is expressed as y = mx+c

m is the slope

c is the y-intercept

Given the equation y = -7/2 x - 5/8

Compare with the general equation

mx = -7/2x

Divide both sides by x

mx/x = -7x/2x

m = -7/2

Hence the slope of the line is -7/2

Pls help ASAP!! 15 points?

Answers

Answer:

4 gte g

Step-by-step explanation:

Answer:

g < 4

Step-by-step explanation:

−12<−3g

Step 1: Flip the equation.

−3g>−12

Step 2: Divide both sides by -3.

−3g

−3

>

−12

−3

g < 4

Solve for n:
1-5|n-9|=-74

I need answer by 12:10, please help!!!

Answers

Answer:

[tex]n=-6, 24[/tex]

Step-by-step explanation:

We are given:

[tex]1-5|n-9|=-74[/tex]

Subtract 1 from both sides:

[tex]-5|n-9|=-75[/tex]

Divide both sides by -5:

[tex]|n-9|=15[/tex]

By definition of absolute value:

[tex](n-9)=15\text{ or } -(n-9)=15[/tex]

Solve for each case:

[tex]n=24\text{ or } n=-15+9=-6[/tex]

Therefore, our two solutions are:

[tex]n=-6, 24[/tex]

help please !!! it's 6th grade math ​

Answers

Answer:

$150

Step-by-step explanation:

$30 x 3 = 90

$20 x 3 = 60

90 + 60 = $150

hope this helps! (:

2/3z=-6

Help please!!

Answers

Answer:

z = -9

Step-by-step explanation:

Find the slope of the line through the given points (3,2),(3,1)

Answers

Answer: Slope = Undefined

This is because the x coordinates of each point are the same (both are 3). These two points form a vertical line, and any vertical line has an undefined slope.

We could use the slope formula to see that...

m = (y2-y1)/(x2-x1)

m = (1-2)/(3-3)

m = -1/0

m = undefined

We cannot divide by zero, so that's why the slope is undefined.

what are the values of AB and DE in parallelogram ABCD?

Answers

Answer:

AB equals 13 and DE equals 7.

Step-by-step explanation:

In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.

The solution is

The value of AB of the parallelogram is 13

The value of DE of the parallelogram is 7

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

The value of side CD = 13

The value of side BC = 23

The value of side AE = 16

AD = AE + ED

And , Opposite sides are parallel in a parallelogram

Now , the value of side AB = CD

So , the value of side AB = 13

And , The value of side BC = AD

So , the value of AD = 23

AD = AE + ED

Substituting the values in the equation , we get

23 = 16 + DE

Subtracting 16 on both sides of the equation , we get

DE = 23 - 16

The value of side DE = 7

Hence , the value of side AB = 13 and value of side DE = 7

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

I need help plz, thank you!!!

Answers

X= 3 is the answerrrrr

Alicia quiere comprar 57 vasos. En la tienda ve que los vasos se venden, en cajas
de 3 o de 5 piezas. Alicia compra en total 13 cajas, de manera que pueda tener
exactamente 57 vasos.
¿Cuántas cajas de tres vasos y cuántas cajas de cinco vasos ha comprado
Alicia?

Answers

Answer:

compró 4 cajas q contenían 3 vasos

y 9 cajas q contenían 5 vasos

EJEMPLO: 4x3=12 + 9x5=45

12+45=57

esa es la respuesta y te puse el ejemplo para q le entiendas más

Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay

Answers

Answer:

q122a

Step-by-step explanation:

find the time it would take to triple an initial deposit of $2,000 at an interest rate of 8%, compounded semi-annually
(rounded to the nearest whole year)

Answers

it’s is 250 I hope I help have a nice night

X
у
1
7
N
13
3
23
4
37
5
55
iction?
The table above represents what type of function?

Answers

I’m sorry I don’t get it

How do I write a phrase in words as an algebraic expression for 8/d?

Answers

Answer:

The quotient of 8 and d.

Step-by-step explanation:

I hope this helps you have a wonderful day! :D

if 2x + 16 = -6x what is x

Answers

Answer:

x = -2

Step-by-step explanation:

Answer:

x is -2

Step-by-step explanation:

8x+16=0

subtract 16 from both sides

8x=-16

Divide each term by 8 and simplify

x=-2

i need help! plz. i’m not to good at ratios and don’t mind the one i clicked i just clicked on a random one

Answers

Your answer would be B

2/8 and 7/28 both simplify to 1/4
The second option:

Quantity A: 2 8
Quantity B: 7 28

2 x 3,5 = 7
8 x 3,5 = 28

What are the steps to finding the area of a parallelogram? What are the steps to finding the area of an isosceles trapezoid

Answers

Answer/Step-by-step explanation:

To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.

A parabola opening up or down has vertex (0,-1) and passes through (4,-2). Write its equation in vertex form

Answers

Answer:

ok

Step-by-step explanation:

four and sixty eight thousandths in decimal form

Answers

Answer:

4.068

Step-by-step explanation:

( i think. I haven't done decimals in a while)

The value of each digit in a number is known as the place value. The four and sixty-eight thousandths in decimal form can be written as 4.068.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

The given number can be written as,

Four → 4Sixty-eight thousandths → 68×(1/1000) = 68/1000 = 0.68

Now, we can write the complete number as,

Four and sixty eight thousandths = 4 + 0.68 = 4.068

Hence, the four and sixty-eight thousandths in decimal form can be written as 4.068.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

21.6/12x = 34.2 does anyone know how to do this?

Answers

Answer:

x = 32.6

Step-by-step explanation:

Please share the instructions:  "Find the value of x ... "  Also, indicate whether x is in the numerator or denominator.

If in the numerator, then we have (12.6/12)x = 34.2.

Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6

What is the multiplicative rate of change for the exponential function f(x)= 3 (2/3)^-x
A. 0.4
B. 2.5
C. 0.6
D. 1.5

Answers

Answer:

C basta Yan ang sagot HAHAHA dko mapicturan solution ko e

Step-by-step explanation:

ano ba yan arte nyo sabing yan ang sagot e

Answer:

c 0.6

Step-by-step explanation:

lol

Find FG
FGH= 49
GH=31

Answers

Answer:

18

Step-by-step explanation:

From the given diagram;

FGH = 49

GH = 31

Using the expression to get FG;

FG + GH = FGH

FG + 31 = 49

FG = 49-31

FG = 18

Hence the measure of FG is 18

WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.

Answers

Answer:

can we see the model

Step-by-step explanation:

Find the approximate sum of the series shown below.

Answers

Answer:

[tex]The~expression=7(\frac{5}{3})^{(1-1)}+ 7(\frac{5}{3})^{(2-1)}+7(\frac{5}{3})^{(3-1)}+7(\frac{5}{3})^{(4-1)}+7(\frac{5}{3})^{(5-1)}\\~~~~~~~~~~~~~~~~~~~~~~=7(\frac{5}{3})^0+7(\frac{5}{3})^1+7(\frac{5}{3})^2+7(\frac{5}{3})^3+7(\frac{5}{3})^4\\~~~~~~~~~~~~~~~~~~~~~~=7(1)+\frac{35}{3}+7(\frac{25}{9})+7(\frac{125}{27}) +7(\frac{625}{81})\\~~~~~~~~~~~~~~~~~~~~~~=7+\frac{35}{3}+\frac{175}{9}+\frac{875}{27} +\frac{4375}{81} \\[/tex]

[tex]=\frac{7(81)}{81}+\frac{35(27)}{3(27)} +\frac{175(9)}{9(9)} +\frac{875(3)}{27(3)}+\frac{4375}{81}\\=\frac{7(81)+35(27)+175(9)+875(3)+4375}{81}\\=\frac{10087}{81}\\=124.53086~(approximate)[/tex]    

3=g/-4-5 g=??
i need help asappp ​

Answers

Answer:

g = -32

Step-by-step explanation:

Answer:

g= -32

Step-by-step explanation:

3=g/-4(-5)

add five

8=g/-4

multiply by -4

-32=g

Which is the best estimate for the percent equivalent to 3/8? 26% 27% 37% 38%​

Answers

the answer is 37% skdjdjdjdjdid
Other Questions
what is the indentation diagonal length when a load of 0.700 kg produces a vickers hv of 650 in the usa, composting has been used successfully to treat a substantial amount of our ________. Substance A undergoes a first order reaction A B with a half-life of 20 min at 25 C. If the initial concentration of A in a sample is 1.6 M, what will be the concentration of A after 80 min? (A) 0.40 M(B) 0.20 M (C) 0.10 M (D) 0.050 M 150.0 g of he is contained in a 1.00 l balloon. when the balloon pops, the gas expands to fill a 7.50 l box. what is ssys for the process? the observation that members of a population are uniformly distributed suggests thata. the size of the area occupied by the population is increasingb. resources are distributed unevenlyc. the members of a population are competing for access to a resourced. the members of the population are neither attracted to nor repelled by one anothere. the density of the population is low here is my algebra 13 homework screenshot, can somebody please help me quick!! T/F: sales promotion is the use of techniques that create a perception of greater brand value among consumers, the trade, and business buyers, but the techniques cant entail an incentive. coalition building is most valuable in which phase of the incremental decision model? question 22 options: a) identification b) implementation c) development d) selection If you want to transfer paper files to a computerized system without inputting all the data using the keyboard you could use a Rank the scenarios in terms of how much profit a monopolist will earn from each. Assume that the scenarios are similar in all ways except for the manner in which the firm prices its good. Most profit The firm has the ability to perfectly price discriminate. The firm can charge different prices to different consumers. The firm must charge a price that is equivalent to its marginal cost. The firm must charge all consumers the same price. Least profit What is the perimeter of a rectangle that measures 7 3/4 inches by 10 1/8 inches? 7 a precedent transactions overview would appear under which section of an investment banking pitchbook? review later industry overview valuation overview company overview transaction opportunities Suppose Colin's mom has decided to take him out to breakfast to celebrate his birthday. Colin is having a hard time deciding between breakfast combo #1 (3 pancakes and 2 scrambled eggs) and breakfast combo #2 (2 pancakes and 3 scrambled eggs) because they both sound equally good to him (and since his mom is paying for breakfast, he doesn't care about how much they cost). He ends up flipping a coin to decide which one to have. Which of following the statements are true? Select all that apply. ( I think 1, 4, and 5 are the best answers)1. Breakfast combo #1 and breakfast combo #2 are on the same indifference curve for Colin.2. Scrambled eggs and pancakes are perfect substitutes for Colin.3. If Colin gets breakfast combo #1 his willingness to give up scrambled eggs for pancakes is likely to be lower than if he had gotten breakfast combo #2.4. If Colin gets breakfast combo #1 his willingness to give up scrambled eggs for pancakes is likely to be higher than if he had gotten breakfast combo #2.5. Colin's marginal utility from eating another pancake will be higher if he gets breakfast combo #1 than if he gets breakfast combo #2.6. Colin's marginal utility from eating a Portfolio weights You have a small portfolio of fast food restaurants consisting of Chipotle (CMG), McDonalds (MCD), Shake Shack (SHAK), and Wendy's (WEN). Use the following information, to answer the questions. a. How much do you have invested in each stock? b. What is the total value of your portfolio? C. What are the security weights for your portfolio? a. The amount you have invested in CMG is $]. (Round to the nearest cent.) $ - X Data table (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Ticker Price Shares CMG $900.68 16 MCD $172.32 19 SHAK $51.43 45 WEN $23.29 42 what information is necessary to compare a machine's current ice production to the manufacturer's chart for that machine? verify { u 1 , u 2 } forms an orthogonal set and find the orthogonal projection of v onto w = s p a n { u 1 , u 2 } . In any production process in which one or more workers are engaged in a variety of tasks, the total time spent in production varies as a function of the size of the workpool and the level of output of the various activities. In a large metropolitan department store, it is believed that the number of man-hours worked (y) per day by the clerical staff depends on the number of pieces of mail processed per day (x1) and the number of checks cashed per day (x2). Data collected for n = 20 working days were used to fit the model:E(y) = Bo + B1x1+ B2x2A partial printout for the analysis follows: PredictedOBS x1 x2 Actual value predicted value Residual lower 95%CL Upper 95% CL1 7781 644 74.707 83.175 -8.468 47.224 119.126Interpret the 95% prediction interval for y shown on the printout.A)We are 95% confident that the number of man-hours worked per day falls between 47.224 and 119.12.B)We are 95% confident that the mean number of man-hours worked per day falls between 47.224 and 119.126 for all days in which 7,781 pieces of mail are processed and 644 checks are cashedC)We expect to predict number of man-hours worked per day to within an amount between 47.224 and 119.126 of the true value.D)We are 95% confident that between 47.224 and 119.126 man-hours will be worked during a single day in which 7,781 pieces of mail are processed and 644 checks are cashed. use the periodic table to determine the number of 3p electrons in si . Suppose that G is a CFG without any productions that have as the right side. If w is in L(G), the length of w is n, and w has a derivation of m steps, show that w has a parse tree with n + m nodes. Miko was facing north-west at first. She turned in an anti-clockwise direction and faced north-east. What fraction of a complete turn did she make?