Pearson eText for Differential Equations: Computing and Modeling Tech Update -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137442782
Author: C. Edwards, David Penney
Publisher: PEARSON+
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Chapter 1.4, Problem 55P
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Program Description: Purpose of the problem is to find the time when the tank goes to empty.
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Need help with coding in this in python!
In the diagram, there is a green arrow pointing from Input C (complete data) to Transformer Encoder S_B, which I don’t understand. The teacher model is trained on full data, but S_B should instead receive missing data—this arrow should not point there. Please verify and recreate the diagram to fix this issue. Additionally, the newly created diagram should meet the same clarity standards as the second diagram (Proposed MSCATN). Finally provide the output image of the diagram in image format .
Please provide me with the output image of both of them . below are the diagrams code
make sure to update the code and mentionned clearly each section also the digram should be clearly describe like in the attached image. please do not provide the same answer like in other question . I repost this question because it does not satisfy the requirment I need in terms of clarifty the output of both code are not very well details
I have two diagram :
first diagram code
graph LR subgraph Teacher Model (Pretrained) Input_Teacher[Input C (Complete Data)] --> Teacher_Encoder[Transformer Encoder T] Teacher_Encoder --> Teacher_Prediction[Teacher Prediction y_T] Teacher_Encoder --> Teacher_Features[Internal Features F_T] end subgraph Student_A_Model[Student Model A (Handles Missing Values)] Input_Student_A[Input M (Data with Missing Values)] --> Student_A_Encoder[Transformer Encoder E_A] Student_A_Encoder --> Student_A_Prediction[Student A Prediction y_A] Student_A_Encoder…
Chapter 1 Solutions
Pearson eText for Differential Equations: Computing and Modeling Tech Update -- Instant Access (Pearson+)
Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 6PCh. 1.1 - Prob. 7PCh. 1.1 - Prob. 8PCh. 1.1 - Prob. 9PCh. 1.1 - Prob. 10P
Ch. 1.1 - Prob. 11PCh. 1.1 - Prob. 12PCh. 1.1 - Prob. 13PCh. 1.1 - Prob. 14PCh. 1.1 - Prob. 15PCh. 1.1 - Prob. 16PCh. 1.1 - Prob. 17PCh. 1.1 - Prob. 18PCh. 1.1 - Prob. 19PCh. 1.1 - Prob. 20PCh. 1.1 - Prob. 21PCh. 1.1 - Prob. 22PCh. 1.1 - Prob. 23PCh. 1.1 - Prob. 24PCh. 1.1 - Prob. 25PCh. 1.1 - Prob. 26PCh. 1.1 - Prob. 27PCh. 1.1 - Prob. 28PCh. 1.1 - Prob. 29PCh. 1.1 - Prob. 30PCh. 1.1 - Prob. 31PCh. 1.1 - Prob. 32PCh. 1.1 - Prob. 33PCh. 1.1 - Prob. 34PCh. 1.1 - Prob. 35PCh. 1.1 - Prob. 36PCh. 1.1 - Prob. 37PCh. 1.1 - Prob. 38PCh. 1.1 - Prob. 39PCh. 1.1 - Prob. 40PCh. 1.1 - Prob. 41PCh. 1.1 - Prob. 42PCh. 1.1 - Prob. 43PCh. 1.1 - Prob. 44PCh. 1.1 - Prob. 45PCh. 1.1 - Prob. 46PCh. 1.1 - Prob. 47PCh. 1.1 - Prob. 48PCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - In Problems 1 through 10, find a function y=f(x)...Ch. 1.2 - Prob. 6PCh. 1.2 - Prob. 7PCh. 1.2 - Prob. 8PCh. 1.2 - Prob. 9PCh. 1.2 - Prob. 10PCh. 1.2 - Prob. 11PCh. 1.2 - Prob. 12PCh. 1.2 - Prob. 13PCh. 1.2 - Prob. 14PCh. 1.2 - Prob. 15PCh. 1.2 - Prob. 16PCh. 1.2 - Prob. 17PCh. 1.2 - Prob. 18PCh. 1.2 - Prob. 19PCh. 1.2 - Prob. 20PCh. 1.2 - Prob. 21PCh. 1.2 - Prob. 22PCh. 1.2 - Prob. 23PCh. 1.2 - A ball is dropped from the top of a building 400...Ch. 1.2 - Prob. 25PCh. 1.2 - Prob. 26PCh. 1.2 - Prob. 27PCh. 1.2 - Prob. 28PCh. 1.2 - A diesel car gradually speeds up so that for the...Ch. 1.2 - Prob. 30PCh. 1.2 - Prob. 31PCh. 1.2 - Prob. 32PCh. 1.2 - On the planet Gzyx, a ball dropped from a height...Ch. 1.2 - Prob. 34PCh. 1.2 - Prob. 35PCh. 1.2 - Prob. 36PCh. 1.2 - Prob. 37PCh. 1.2 - Prob. 38PCh. 1.2 - If a=0.5mi and v0=9mi/h as in Example 4, what must...Ch. 1.2 - Prob. 40PCh. 1.2 - Prob. 41PCh. 1.2 - Prob. 42PCh. 1.2 - Prob. 43PCh. 1.2 - Prob. 44PCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 6PCh. 1.3 - Prob. 7PCh. 1.3 - Prob. 8PCh. 1.3 - Prob. 9PCh. 1.3 - Prob. 10PCh. 1.3 - Prob. 11PCh. 1.3 - Prob. 12PCh. 1.3 - Prob. 13PCh. 1.3 - Prob. 14PCh. 1.3 - Prob. 15PCh. 1.3 - Prob. 16PCh. 1.3 - Prob. 17PCh. 1.3 - Prob. 18PCh. 1.3 - Prob. 19PCh. 1.3 - Prob. 20PCh. 1.3 - Prob. 21PCh. 1.3 - Prob. 22PCh. 1.3 - Prob. 23PCh. 1.3 - Prob. 24PCh. 1.3 - Prob. 25PCh. 1.3 - Prob. 26PCh. 1.3 - Prob. 27PCh. 1.3 - Prob. 28PCh. 1.3 - Verify that if c is a constant, then the function...Ch. 1.3 - Prob. 30PCh. 1.3 - Prob. 31PCh. 1.3 - Prob. 32PCh. 1.3 - Prob. 33PCh. 1.3 - (a) Use the direction field of Problem 5 to...Ch. 1.3 - Prob. 35PCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 5PCh. 1.4 - Prob. 6PCh. 1.4 - Prob. 7PCh. 1.4 - Prob. 8PCh. 1.4 - Prob. 9PCh. 1.4 - Prob. 10PCh. 1.4 - Prob. 11PCh. 1.4 - Prob. 12PCh. 1.4 - Prob. 13PCh. 1.4 - Prob. 14PCh. 1.4 - Prob. 15PCh. 1.4 - Prob. 16PCh. 1.4 - Prob. 17PCh. 1.4 - Prob. 18PCh. 1.4 - Prob. 19PCh. 1.4 - Prob. 20PCh. 1.4 - Prob. 21PCh. 1.4 - Prob. 22PCh. 1.4 - Prob. 23PCh. 1.4 - Prob. 24PCh. 1.4 - Prob. 25PCh. 1.4 - Prob. 26PCh. 1.4 - Prob. 27PCh. 1.4 - Prob. 28PCh. 1.4 - Prob. 29PCh. 1.4 - Prob. 30PCh. 1.4 - Prob. 31PCh. 1.4 - Prob. 32PCh. 1.4 - (Population growth) A certain city had a...Ch. 1.4 - Prob. 34PCh. 1.4 - Prob. 35PCh. 1.4 - (Radiocarbon dating) Carbon taken from a purported...Ch. 1.4 - Prob. 37PCh. 1.4 - (Continuously compounded interest) Suppose that...Ch. 1.4 - Prob. 39PCh. 1.4 - Prob. 40PCh. 1.4 - Prob. 41PCh. 1.4 - Prob. 42PCh. 1.4 - Prob. 43PCh. 1.4 - Prob. 44PCh. 1.4 - Prob. 45PCh. 1.4 - Prob. 46PCh. 1.4 - Prob. 47PCh. 1.4 - Prob. 48PCh. 1.4 - Prob. 49PCh. 1.4 - The amount A (t ) of atmospheric pollutants in a...Ch. 1.4 - An accident at a nuclear power plant has left the...Ch. 1.4 - Prob. 52PCh. 1.4 - Prob. 53PCh. 1.4 - Prob. 54PCh. 1.4 - Prob. 55PCh. 1.4 - Prob. 56PCh. 1.4 - Prob. 57PCh. 1.4 - Prob. 58PCh. 1.4 - Prob. 59PCh. 1.4 - Prob. 60PCh. 1.4 - A spherical tank of radius 4 ft is full of water...Ch. 1.4 - Prob. 62PCh. 1.4 - Prob. 63PCh. 1.4 - (The clepsydra, or water clock) A 12 h water clock...Ch. 1.4 - Prob. 65PCh. 1.4 - Prob. 66PCh. 1.4 - Prob. 67PCh. 1.4 - Figure 1.4.11 shows a bead sliding down a...Ch. 1.4 - Prob. 69PCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 5PCh. 1.5 - Prob. 6PCh. 1.5 - Prob. 7PCh. 1.5 - Prob. 8PCh. 1.5 - Prob. 9PCh. 1.5 - Prob. 10PCh. 1.5 - Prob. 11PCh. 1.5 - Prob. 12PCh. 1.5 - Prob. 13PCh. 1.5 - Prob. 14PCh. 1.5 - Prob. 15PCh. 1.5 - Prob. 16PCh. 1.5 - Prob. 17PCh. 1.5 - Prob. 18PCh. 1.5 - Prob. 19PCh. 1.5 - Prob. 20PCh. 1.5 - Prob. 21PCh. 1.5 - Prob. 22PCh. 1.5 - Prob. 23PCh. 1.5 - Prob. 24PCh. 1.5 - Prob. 25PCh. 1.5 - Prob. 26PCh. 1.5 - Prob. 27PCh. 1.5 - Prob. 28PCh. 1.5 - Prob. 29PCh. 1.5 - Prob. 30PCh. 1.5 - Prob. 31PCh. 1.5 - Prob. 32PCh. 1.5 - Prob. 33PCh. 1.5 - Prob. 34PCh. 1.5 - Prob. 35PCh. 1.5 - Prob. 36PCh. 1.5 - Prob. 37PCh. 1.5 - Prob. 38PCh. 1.5 - Prob. 39PCh. 1.5 - Prob. 40PCh. 1.5 - Prob. 41PCh. 1.5 - Prob. 42PCh. 1.5 - Figure 1.5.7 shows a slope field and typical...Ch. 1.5 - Prob. 44PCh. 1.5 - Prob. 45PCh. 1.5 - Prob. 46PCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 5PCh. 1.6 - Prob. 6PCh. 1.6 - Prob. 7PCh. 1.6 - Prob. 8PCh. 1.6 - Prob. 9PCh. 1.6 - Prob. 10PCh. 1.6 - Prob. 11PCh. 1.6 - Prob. 12PCh. 1.6 - Prob. 13PCh. 1.6 - Prob. 14PCh. 1.6 - Prob. 15PCh. 1.6 - Prob. 16PCh. 1.6 - Prob. 17PCh. 1.6 - Prob. 18PCh. 1.6 - Prob. 19PCh. 1.6 - Prob. 20PCh. 1.6 - Prob. 21PCh. 1.6 - Prob. 22PCh. 1.6 - Prob. 23PCh. 1.6 - Prob. 24PCh. 1.6 - Prob. 25PCh. 1.6 - Prob. 26PCh. 1.6 - Prob. 27PCh. 1.6 - Prob. 28PCh. 1.6 - Prob. 29PCh. 1.6 - Prob. 30PCh. 1.6 - Prob. 31PCh. 1.6 - Prob. 32PCh. 1.6 - Prob. 33PCh. 1.6 - Prob. 34PCh. 1.6 - Prob. 35PCh. 1.6 - Prob. 36PCh. 1.6 - Prob. 37PCh. 1.6 - Prob. 38PCh. 1.6 - Prob. 39PCh. 1.6 - Prob. 40PCh. 1.6 - Prob. 41PCh. 1.6 - Prob. 42PCh. 1.6 - Prob. 43PCh. 1.6 - Prob. 44PCh. 1.6 - Prob. 45PCh. 1.6 - Prob. 46PCh. 1.6 - Prob. 47PCh. 1.6 - Prob. 48PCh. 1.6 - Prob. 49PCh. 1.6 - Prob. 50PCh. 1.6 - Prob. 51PCh. 1.6 - Prob. 52PCh. 1.6 - Prob. 53PCh. 1.6 - Prob. 54PCh. 1.6 - Prob. 55PCh. 1.6 - Suppose that n0 and n1. Show that the substitution...Ch. 1.6 - Prob. 57PCh. 1.6 - Prob. 58PCh. 1.6 - Solve the differential equation dydx=xy1x+y+3 by...Ch. 1.6 - Prob. 60PCh. 1.6 - Prob. 61PCh. 1.6 - Prob. 62PCh. 1.6 - Prob. 63PCh. 1.6 - Prob. 64PCh. 1.6 - Prob. 65PCh. 1.6 - Prob. 66PCh. 1.6 - Prob. 67PCh. 1.6 - Prob. 68PCh. 1.6 - Prob. 69PCh. 1.6 - As in the text discussion, suppose that an...Ch. 1.6 - Prob. 71PCh. 1.6 - Prob. 72PCh. 1 - Prob. 1RPCh. 1 - Prob. 2RPCh. 1 - Prob. 3RPCh. 1 - Prob. 4RPCh. 1 - Prob. 5RPCh. 1 - Prob. 6RPCh. 1 - Prob. 7RPCh. 1 - Prob. 8RPCh. 1 - Prob. 9RPCh. 1 - Prob. 10RPCh. 1 - Prob. 11RPCh. 1 - Prob. 12RPCh. 1 - Prob. 13RPCh. 1 - Prob. 14RPCh. 1 - Prob. 15RPCh. 1 - Prob. 16RPCh. 1 - Prob. 17RPCh. 1 - Prob. 18RPCh. 1 - Prob. 19RPCh. 1 - Prob. 20RPCh. 1 - Prob. 21RPCh. 1 - Prob. 22RPCh. 1 - Prob. 23RPCh. 1 - Prob. 24RPCh. 1 - Prob. 25RPCh. 1 - Prob. 26RPCh. 1 - Prob. 27RPCh. 1 - Prob. 28RPCh. 1 - Prob. 29RPCh. 1 - Prob. 30RPCh. 1 - Prob. 31RPCh. 1 - Prob. 32RPCh. 1 - Prob. 33RPCh. 1 - Prob. 34RPCh. 1 - Prob. 35RPCh. 1 - Prob. 36RP
Knowledge Booster
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- Why I need ?arrow_forwardHere are two diagrams. Make them very explicit, similar to Example Diagram 3 (the Architecture of MSCTNN). graph LR subgraph Teacher_Model_B [Teacher Model (Pretrained)] Input_Teacher_B[Input C (Complete Data)] --> Teacher_Encoder_B[Transformer Encoder T] Teacher_Encoder_B --> Teacher_Prediction_B[Teacher Prediction y_T] Teacher_Encoder_B --> Teacher_Features_B[Internal Features F_T] end subgraph Student_B_Model [Student Model B (Handles Missing Labels)] Input_Student_B[Input C (Complete Data)] --> Student_B_Encoder[Transformer Encoder E_B] Student_B_Encoder --> Student_B_Prediction[Student B Prediction y_B] end subgraph Knowledge_Distillation_B [Knowledge Distillation (Student B)] Teacher_Prediction_B -- Logits Distillation Loss (L_logits_B) --> Total_Loss_B Teacher_Features_B -- Feature Alignment Loss (L_feature_B) --> Total_Loss_B Partial_Labels_B[Partial Labels y_p] -- Prediction Loss (L_pred_B) --> Total_Loss_B Total_Loss_B -- Backpropagation -->…arrow_forwardPlease provide me with the output image of both of them . below are the diagrams code I have two diagram : first diagram code graph LR subgraph Teacher Model (Pretrained) Input_Teacher[Input C (Complete Data)] --> Teacher_Encoder[Transformer Encoder T] Teacher_Encoder --> Teacher_Prediction[Teacher Prediction y_T] Teacher_Encoder --> Teacher_Features[Internal Features F_T] end subgraph Student_A_Model[Student Model A (Handles Missing Values)] Input_Student_A[Input M (Data with Missing Values)] --> Student_A_Encoder[Transformer Encoder E_A] Student_A_Encoder --> Student_A_Prediction[Student A Prediction y_A] Student_A_Encoder --> Student_A_Features[Student A Features F_A] end subgraph Knowledge_Distillation_A [Knowledge Distillation (Student A)] Teacher_Prediction -- Logits Distillation Loss (L_logits_A) --> Total_Loss_A Teacher_Features -- Feature Alignment Loss (L_feature_A) --> Total_Loss_A Ground_Truth_A[Ground Truth y_gt] -- Prediction Loss (L_pred_A)…arrow_forward
- I'm reposting my question again please make sure to avoid any copy paste from the previous answer because those answer did not satisfy or responded to the need that's why I'm asking again The knowledge distillation part is not very clear in the diagram. Please create two new diagrams by separating the two student models: First Diagram (Student A - Missing Values): Clearly illustrate the student training process. Show how knowledge distillation happens between the teacher and Student A. Explain what the teacher teaches Student A (e.g., handling missing values) and how this teaching occurs (e.g., through logits, features, or attention). Second Diagram (Student B - Missing Labels): Similarly, detail the training process for Student B. Clarify how knowledge distillation works between the teacher and Student B. Specify what the teacher teaches Student B (e.g., dealing with missing labels) and how the knowledge is transferred. Since these are two distinct challenges…arrow_forwardThe knowledge distillation part is not very clear in the diagram. Please create two new diagrams by separating the two student models: First Diagram (Student A - Missing Values): Clearly illustrate the student training process. Show how knowledge distillation happens between the teacher and Student A. Explain what the teacher teaches Student A (e.g., handling missing values) and how this teaching occurs (e.g., through logits, features, or attention). Second Diagram (Student B - Missing Labels): Similarly, detail the training process for Student B. Clarify how knowledge distillation works between the teacher and Student B. Specify what the teacher teaches Student B (e.g., dealing with missing labels) and how the knowledge is transferred. Since these are two distinct challenges (missing values vs. missing labels), they should not be combined in the same diagram. Instead, create two separate diagrams for clarity. For reference, I will attach a second image…arrow_forwardNote : please avoid using AI answer the question by carefully reading it and provide a clear and concise solutionHere is a clear background and explanation of the full method, including what each part is doing and why. Background & Motivation Missing values: Some input features (sensor channels) are missing for some samples due to sensor failure or corruption. Missing labels: Not all samples have a ground-truth RUL value. For example, data collected during normal operation is often unlabeled. Most traditional deep learning models require complete data and full labels. But in our case, both are incomplete. If we try to train a model directly, it will either fail to learn properly or discard valuable data. What We Are Doing: Overview We solve this using a Teacher–Student knowledge distillation framework: We train a Teacher model on a clean and complete dataset where both inputs and labels are available. We then use that Teacher to teach two separate Student models: Student A learns…arrow_forward
- Here is a clear background and explanation of the full method, including what each part is doing and why. Background & Motivation Missing values: Some input features (sensor channels) are missing for some samples due to sensor failure or corruption. Missing labels: Not all samples have a ground-truth RUL value. For example, data collected during normal operation is often unlabeled. Most traditional deep learning models require complete data and full labels. But in our case, both are incomplete. If we try to train a model directly, it will either fail to learn properly or discard valuable data. What We Are Doing: Overview We solve this using a Teacher–Student knowledge distillation framework: We train a Teacher model on a clean and complete dataset where both inputs and labels are available. We then use that Teacher to teach two separate Student models: Student A learns from incomplete input (some sensor values missing). Student B learns from incomplete labels (RUL labels missing…arrow_forwardhere is a diagram code : graph LR subgraph Inputs [Inputs] A[Input C (Complete Data)] --> TeacherModel B[Input M (Missing Data)] --> StudentA A --> StudentB end subgraph TeacherModel [Teacher Model (Pretrained)] C[Transformer Encoder T] --> D{Teacher Prediction y_t} C --> E[Internal Features f_t] end subgraph StudentA [Student Model A (Trainable - Handles Missing Input)] F[Transformer Encoder S_A] --> G{Student A Prediction y_s^A} B --> F end subgraph StudentB [Student Model B (Trainable - Handles Missing Labels)] H[Transformer Encoder S_B] --> I{Student B Prediction y_s^B} A --> H end subgraph GroundTruth [Ground Truth RUL (Partial Labels)] J[RUL Labels] end subgraph KnowledgeDistillationA [Knowledge Distillation Block for Student A] K[Prediction Distillation Loss (y_s^A vs y_t)] L[Feature Alignment Loss (f_s^A vs f_t)] D -- Prediction Guidance --> K E -- Feature Guidance --> L G --> K F --> L J -- Supervised Guidance (if available) --> G K…arrow_forwarddetails explanation and background We solve this using a Teacher–Student knowledge distillation framework: We train a Teacher model on a clean and complete dataset where both inputs and labels are available. We then use that Teacher to teach two separate Student models: Student A learns from incomplete input (some sensor values missing). Student B learns from incomplete labels (RUL labels missing for some samples). We use knowledge distillation to guide both students, even when labels are missing. Why We Use Two Students Student A handles Missing Input Features: It receives input with some features masked out. Since it cannot see the full input, we help it by transferring internal features (feature distillation) and predictions from the teacher. Student B handles Missing RUL Labels: It receives full input but does not always have a ground-truth RUL label. We guide it using the predictions of the teacher model (prediction distillation). Using two students allows each to specialize in…arrow_forward
- We are doing a custom JSTL custom tag to make display page to access a tag handler. Write two custom tags: 1) A single tag which prints a number (from 0-99) as words. Ex: <abc:numAsWords val="32"/> --> produces: thirty-two 2) A paired tag which puts the body in a DIV with our team colors. Ex: <abc:teamColors school="gophers" reverse="true"> <p>Big game today</p> <p>Bring your lucky hat</p> <-- these will be green text on blue background </abc:teamColors> Details: The attribute for numAsWords will be just val, from 0 to 99 - spelling, etc... isn't important here. Print "twenty-six" or "Twenty six" ... . Attributes for teamColors are: school, a "required" string, and reversed, a non-required boolean. - pick any four schools. I picked gophers, cyclones, hawkeyes and cornhuskers - each school has two colors. Pick whatever seems best. For oine I picked "cyclones" and red text on a gold body - if…arrow_forwardI want a database on MySQL to analyze blood disease analyses with a selection of all its commands, with an ER drawing, and a complete chart for normalization. I want them completely.arrow_forwardAssignment Instructions: You are tasked with developing a program to use city data from an online database and generate a city details report. 1) Create a new Project in Eclipse called "HW7". 2) Create a class "City.java" in the project and implement the UML diagram shown below and add comments to your program. 3) The logic for the method "getCityCategory" of City Class is below: a. If the population of a city is greater than 10000000, then the method returns "MEGA" b. If the population of a city is greater than 1000000 and less than 10000000, then the method returns "LARGE" c. If the population of a city is greater than 100000 and less than 1000000, then the method returns "MEDIUM" d. If the population of a city is below 100000, then the method returns "SMALL" 4) You should create another new Java program inside the project. Name the program as "xxxx_program.java”, where xxxx is your Kean username. 3) Implement the following methods inside the xxxx_program program The main method…arrow_forward
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