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## Score Better   ### Problem 1. We solve damped wave equation along a cylinder ( D ) of radius ( a=1, H=4 ) [ left{begin{array}{l} partial_{t} u+2 xi u_{t}=Delta u \ u(t, text { bnd }(D))=0 \ u(0, r, theta, z)=r z \ partial_{t} u(0, r, theta, z)=0 end{array}right. text {. } ] a) As we know, we should first solve the eigenvalue problem [

Problem 1. We solve damped wave equation along a cylinder ( D ) of radius ( a=1, H=4 ) [ left{begin{array}{l} partial_{t} u+2 xi u_{t}=Delta u \ u(t, text { bnd }(D))=0 \ u(0, r, theta, z)=r z \ partial_{t} u(0, r, theta, z)=0 end{array}right. text {. } ] a) As we know, we should first solve the eigenvalue problem [

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### Question 1 (40/100). The boiling point rise and the dissolution temperature are negligible and are within ( 5 % ) (network) a solution containing dissolved organic matter is a solution that is operated by a two-effect reverse current process up to ( 25 % ) (network) concentration is concentrated in the evaporator. ( 165^{circ} mathrm{C} ) as a

Question 1 (40/100). The boiling point rise and the dissolution temperature are negligible and are within ( 5 % ) (network) a solution containing dissolved organic matter is a solution that is operated by a two-effect reverse current process up to ( 25 % ) (network) concentration is concentrated in the evaporator. ( 165^{circ} mathrm{C} ) as a

### 1. Breakdowns on a production line are random events in continuous time. We will use ( X ) to denote the number of breakdowns in a given week. ( X ) has a Poisson distribution. We will use ( Y ) to denote the amount of time between breakdowns. ( Y ) has an Exponential distribution. The average breakdown rate is one in every 252 hours. The probability

1. Breakdowns on a production line are random events in continuous time. We will use ( X ) to denote the number of breakdowns in a given week. ( X ) has a Poisson distribution. We will use ( Y ) to denote the amount of time between breakdowns. ( Y ) has an Exponential distribution. The average breakdown rate is one in every 252 hours. The probability

### 12. Write a fibonacci ( (n) ) function to return a list of the first ( n ) Fibonacci numbers. The Fibonacci numbers start with two 1’s and then each next element is the sum of the two previous values: [ 1,1,2,3,5,8,13,21,34,55, ldots ] Include a program to test your function.

12. Write a fibonacci ( (n) ) function to return a list of the first ( n ) Fibonacci numbers. The Fibonacci numbers start with two 1’s and then each next element is the sum of the two previous values: [ 1,1,2,3,5,8,13,21,34,55, ldots ] Include a program to test your function.

### ASSIGNMENT 1 – Power Systems 2 – S3 -2021-2022 ASSIGNMENT INSTRUCTIONS Similar answers will be badly evaluated. The one-line diagram of a simple three-bus power system is shown below with generation at bu 1 and 2. All of the electrical quantities illustrated at the one line diagram are marked in per unit ( 100 mathrm{MVA} ) base. The active power (

ASSIGNMENT 1 – Power Systems 2 – S3 -2021-2022 ASSIGNMENT INSTRUCTIONS Similar answers will be badly evaluated. The one-line diagram of a simple three-bus power system is shown below with generation at bu 1 and 2. All of the electrical quantities illustrated at the one line diagram are marked in per unit ( 100 mathrm{MVA} ) base. The active power (

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### 10-23 The closed graph theorem can be deduced from the open mapping theorem. (Hint: Gr ( F ) is a Banach space and the map ( (x, F(x)) rightarrow x in X ) is one-to-one and onto.) 10-24 Let ( X ) be a Banach space and ( Y, Z ) be closed subspaces of ( X ) such that ( X=Y+Z ). Then there is some ( alpha>0 ) such that for every ( x in X ),

10-23 The closed graph theorem can be deduced from the open mapping theorem. (Hint: Gr ( F ) is a Banach space and the map ( (x, F(x)) rightarrow x in X ) is one-to-one and onto.) 10-24 Let ( X ) be a Banach space and ( Y, Z ) be closed subspaces of ( X ) such that ( X=Y+Z ). Then there is some ( alpha>0 ) such that for every ( x in X ),

custom answer Problem 2 Problem 2. Let D be the shell of the cylinder r=1,H=4 (the domain is not a solid cylinder but only the shell of the cylinder). We wan to solve the following heat problem on D ⎩⎨⎧​∂t​u=Δu+e−tzsin(2θ)u(t,θ,0)=u(t,θ,4)=0u(0,θ,z)=0​ a) Since r=1 is constant, the Laplacian Δu has the form Δu=∂02∂2u​+∂z2∂2u​ As usual we

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#### Solve problem 4 using MATLAB. And paste code and output screenshot here: Solution of problem 3 is also attached at end to solve problem 4 problem3 Solution

Solve problem 4 using MATLAB. And paste code and output
screenshot here:
Solution of problem 3 is also attached at end to solve
problem 4

problem3
Solution

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#### An economist wants to determine whether average price/earnings (P/E) ratios differ for firms in three industries. Independent samples of five firms in each industry produced the following results after conducting a one-way ANOVA. SSB (sum of squares between groups) = 258.82 and SST (sum of squares total) = 424.04. Based on this information, what would be the

An economist wants to determine whether average price/earnings
(P/E) ratios differ for firms in three industries. Independent
samples of five firms in each industry produced the following
results after conducting a one-way ANOVA. SSB (sum of squares
between groups) = 258.82 and SST (sum of squares total) = 424.04.
Based on this information, what would be the

#### Why would a t-test be used for statistical analysis of surveys?

Why would a t-test be used for statistical analysis of surveys?

#### A financial security generates a cash flow of \$25,000 every five years forever with the first cash flow occurring in 3 years’ time. The appropriate opportunity cost is 12% p.a. compounded annually. What should be the security’s price today?

A financial security generates a cash flow of \$25,000 every five
years forever with the first cash flow occurring in 3 years’ time.
The appropriate opportunity cost is 12% p.a. compounded annually.
What should be the security’s price today?

#### 6. Find vectors ( mathbf{v}, mathbf{w} in mathbb{C}^{1} ) so that ( mathbf{w} ) is a complex scalar multiple of ( mathbf{v} ) but not a real scalar multiple.

6. Find vectors ( mathbf{v}, mathbf{w} in mathbb{C}^{1} ) so that ( mathbf{w} ) is a complex scalar multiple of ( mathbf{v} ) but not a real scalar multiple.

#### find the root mean square as shown in the formula of the given data

find the root mean square as shown in the formula of the given data

#### Was wondering how to do a where statement for months between 4 and 11 and also help with the question after

Was wondering how to do a where statement
for months between 4 and 11
and also help with the question after