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Jawaharlal Nehru Technological University - JNTUA Anantapur

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Anthropology1Algebra1Accounting1Calculus5Biology2Physics2Chemistry1
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Establishment-3

 

Functions of the Division

 

Establishment cases of Gazetted Officers, other than (i) members of CSSS of the Department, (ii) members of its attached/subordinate offices and (iii) the work looked after by E.IV Section, involving reference to and from: –i) The Union Public Service Commission (UPSC)ii) The Appointments Committee of the Cabinet (ACC)iii) The Department of Personnel & Training and the Cabinet Secretariat.iv) Departmental Promotion Committee (DPC)All Establishment matters relating to Gazetted Officers of Department of Commerce, viz., vacancy position, appointment against vacancies etc.Framing of Recruitment Rules in respect of Gazetted Officers (ex-cadre posts).Maintenance of Communal Roster for Gazetted posts in the Department of CommerceAllocation of work amongst Officers in the Department of Commerce.Fixation of pay of Group A Officers involving issue of special order of sanction.Misc. Establishment matters in respect of Gazetted Officers of the Department viz. grant of leave, encashment of leave, forwarding of applications to the UPSC etc., verification of character and antecedents, medical examination of Officers appointed through UPSC.References relating to Home Town declaration in respect of Gazetted Officers in the Department properWork relating to Indian Economic Service/ Indian Statistical Service / Indian Cost & Accounts Service (ICOS)/Indian Trade Service (ITS) and Official LanguageWork relating to Group Insurance Scheme for Central Govt. Employees (for Gazetted Officers)Work relating to maintenance of service records, fixation of pay etc. in respect of all Gazetted OfficersVerification of service of Gazetted Officers

 

Confidential Cell

 

Annual Performance Appraisal Report/Performance Appraisal Report of Gazetted and Non-gazetted Officers.

 

Officers in the Division

 

 

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Java Programming Basics

Java is a versatile and powerful programming language that is widely used for a variety of applications. This post will provide a summary of the basics of Java programming, including syntax, data types, control structures, and classes.

Syntax

Java follows a specific syntax that includes case sensitivity, indentation, and variable and method naming conventions. Proper syntax is essential for writing clean and readable code.

Data Types

Java has various data types, including primitive types (e.g., int, float, char) and reference types (e.g., String, Object). Understanding data types is crucial for effective data manipulation and storage.

Control Structures

Control structures allow developers to control the flow of a program. Java supports various control structures, such as if-else, while, for, and switch statements, which help in making decisions and managing loops.

Classes and Objects

Java is an object-oriented programming language, which means that everything in Java is an object. Classes are blueprints for objects and define their properties and behaviors. Objects are instances of a class. Understanding classes and objects is fundamental to building robust Java applications.

Advanced Concepts

Once you have a solid grasp of the basics, you can delve into more advanced Java concepts, such as:

  • Design Patterns: Reusable solutions to common problems in software design.
  • Multithreading and Concurrency: Techniques for creating responsive and efficient applications with multiple threads of execution.
  • Java Collections Framework: A library of interfaces and classes for managing collections of objects, such as lists, sets, and maps.
  • Java Database Connectivity (JDBC): A library that enables Java applications to interact with databases.
  • Java Networking Programming: Techniques for creating network-enabled applications that can communicate with other systems.

By mastering these advanced concepts, you will be well-equipped to develop complex and high-performance Java applications.

Remember that Java is a vast language with many possibilities. Keep exploring and practicing to become a proficient Java programmer!

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PLEASE ANSWER ALL 12 QUESTIONS

In this assignment we are going to look a little closer at the derivative and use it in to find the simple vertex in the quadratic case and then for business type problems[Chapter 19]. Then our last step will be a short view and practice of the anti-derivative (AKA integral)[chapter 29]. Note: you do not need the textbook but it is helpful in reviewing the topics beyond the discussion below. There are also numerous helpful web sites which is also acceptable.

First, we will review the concept of the vertex and then see how a derivative will help us locate the vertex. Consider the equation: y = x2 – 6x + 5. The graph of this equation would look like a smile. It would be decreasing until it got to a specific point, then it would change direction and begin increasing. That point, the vertex, is the lowest point that the parabola would hit and is our point of interest. In order to find out where that point is we will use the derivative and set it equal to zero. When we solve for x, we will fine the x value of the vertex. Then we will plug the value of x back into the original equation and find the value of y. Together these two coordinates make up the vertex.

So, y = x2 – 6x + 5, this can also be stated as

f(x) = x2 – 6x + 5 next step take the derivative

f’(x) = 2x -6 now set this value equal to zero and then solve

2x – 6 = 0

2x = 6

x = 3 ß this is the x value of the vertex, we plug this into the orignal equation to get y.

y = (3)2 – 6(3) + 5, so y = -4

The vertex is (3, -4).

The first part of the assignment is to use this technique to find the vertex of several quadratic functions. However, in the “real” world equations will typically have many twists and turns. This technique helps us to find each changing point which would be the lows and highs of stock or sales or whatever data we are looking at. There are many fields that use this technique.

Find the vertex of the following 5 equations:

1) y = 3x2 – 5x + 2

2) y = x2 + 5

3) y = 10x + 2 – x2

4) y = 7x2 + 14x – 10

5) y = .5x2 + 3x + 6

Second, we will look at marginal cost and profit. Unlike the vertex, the marginal cost tells us the rate at which the profit is changing as the number we produce changes. Typically, a manufacturer or salesman knows the approximate cost of the number or items they produce or have on hand at a specific time. However, what would it cost them if instead they chose to produce one more unit? In terms of profit, how would the profit change if they had one more unit. To find this value, we follow these steps:

Start with the initial equation.

Take the derivative

Plug the unit of interest into the derivative equation

This is your marginal cost or profit.

An example: The profit, P in dollars that your company will make by producing x radios per day is given as:

P = 80x - .025x2 – 12,500

Find the rate at which the profit is changing when the production level of x is 900 radios a week.

dP/dx = 80 - .05x, when x = 900/5 (assuming a 5 day week)

80 - .05(180) = 80 – 9 = $71

The second part of this homework will be to solve the two marginal problems listed here.

6) The profit, P, in dollars per day, resulting from making x units per day of air conditioners prior to the summer is:

P = 12.5x2 + 18x − 155, find the marginal profit when the production level is 10 air conditioners per hour in a 12 hour production day.

7) The cost, C of producing x footballs per day is given by the formula:

C = 1200 + 50x - .05x2, find the rate of change of C with respect to x (called marginal cost) when 1000 footballs are being produced each week (5day week)

Finally, the third portion of the assignment is to find the anti- derivative (or integral)

An integral allows us to find the area under a curve. We really didn’t step too much into area so I will make this brief and leave the long term idea to any future Calculus classes you choose to take. I just need to make sure you have seen and performed an integral mathematically. As an integral is an anti derivative, it actually just does the opposite of what we did when we took the derivative. When looking at an exponent we increase the power by one and divide by that same number.

If F(x) is an antiderivative of f’(x), and the function f’(x) is defined on some interval, then every other antiderivative G(x) of f’(x) differs from F(x) by a constant: there exists a number C such that G(x) = F(x) + C for all x. C is called the arbitrary constant of integration. In less technical terms, recall when we took a derivative from previous assignment, any time we have a constant (with no x variable attached to it) it was dropped when we reduced the equation. When we integrate, we want to leave a constant, C, to represent that the equation may have dropped something when being reduces.

Let’s look at examples:

Example 1: f’(x) = x3+ 6x2

The integral = f(x) = x4/4 + 6x3/3 + C

(1/4)x4 + 2x3 + C

Example 2: f’(x) = 5x3+3

The integral = f(x) = 5x4/4 + 3x1/1 + C

= (5/4)x4 + 3x + C

So you can see, we are working backwards from the steps we originally did for the derivative.

The last step for finishing this homework is to find the integral of the following. Just find the first integral. DO NOT SOLVE OR GO ANY FURTHER:

8) f’(x)=2x3-5x2 +6

9) f’(x)=⠓ x2 +8x - 4

10) f’(x)= 8 x3+3x

11) f’(x)= x4

12) f’(x) = 6x3 – 2x + 1

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